Executive Summary ODS FRF AND ROTORDYNAMIC APPROACH

Executive Summary

Customer : Mitsui Phenol Singapore Pte Ltd

Contact : Mr Henry Choy

Mechanical Engineer

Job Location : Mitsui Sakra Plant

Date of Service : 5th

May 2008 (Site Service)

7th

May 2008 (Offsite Reporting)

Workscope : Operating Deflection Shape analysis of 1 unit vessel 7067

Summary : Recommendation to avert catastrophe would be :-

♦ Reinforcement pad at the branch connection will provide additional

strength and reduce the probability of joint failure

♦ In addition to reinforcement pad additional gusset support in the horizontal

direction should not only reduce deflection but also need to shift the

resonance frequency higher (more stiffness)

Service by : Bob MD

Senior Vibration Analyst

Category III Vibration Institute USA

Report by :

Bob MD

Senior Vibration Analyst

Category III Vibration Institute USA

TABLE OF CONTENT

Executive Summary

2

1.0 Introduction

4

2.0 Instrumentation

4

3.0 RBTS-ODS Analysis Procedures

4

4.0 Piping Vibration Measurement Locations

8

5.0 Vibration Criteria Span

(with mil to µm conversion table included)

7

6.0 Summary Vibration Overall Amplitudes Results for Inlet pipe to Pressure Vessel

11

7.0 Discussion & Analysis

9

8.0 Conclusion & Recommendation

89

1.0 Introduction

Vibration & Sound Services & Sales Pte Ltd was engaged by Mitsui Phenol Singapore Pte Ltd to

perform piping ODS exploratory study for PD 7067.

The job was performed on the 5th May 2008 and was witnessed by Mr Henry Choy, Mechanical

Engineer of Mitsui Phenol Singapore Pte Ltd.

2.0 Instrumentation

The following instrumentation were used to perform the vibration measurement:-

• Vibration Machinery Analyzer s/n 2680D

• Vibration Transducer ICP Accelerometer 500mV/g

• Impact Hammer 5000lbs

• Related cables & Magnetic Base

• Analysis software

3.0 RBTS_ODS Analysis Procedures

Low frequency accelerometers were installed on the measurement point as shown on the following

drawings). Data acquisition parameters were setup for each individual channel. Raw data in

acceleration unit and Fmax up to 200 Hz were selected. Data for each channel was recorded for

200 seconds.

Based on the piping isometrics a model was reconstructed on the software and the measured

vibration data was allocated to the measurement points on the model. This was used to create an

Operation Deflection Shape Analysis of the model.

Also the data was post processed to generate velocity and displacement spectrums for assessment

of the severity levels of the vibration.

The table and figures below show the location of measurement points, see Diagram 1.

Diagram 1: The images show the location of measurement points

Pipe vibration correction will involve re-tuning the pipe system to a different frequency. This may

be accomplished by re-locating the pipe supports, installing different supports, isolating the pipe

from its hangers or joints, or installing expansion joints in the pipe.

Before any modification is undertaken another pipe analysis should be carried out to determine

that the modification does not violate other design parameters such as machine coupling

momentum or connection stresses.

Vibration data will be compared with allowable piping vibration in displacement, mm/sec units. An FFT

using double integration was carried out on the raw data (time waveform) to produce Spectrums in mm/sec.

Raw data in Acceleration, G unit Raw data in Velocity, mm/sec unit

FFT and

double

integration

Compare with

allowable piping

vibration

Used for ODS

4.0 Piping Vibration Measurement Locations

Schematic Diagram 1 : Pipe Vibration Measurements

1, 2

3, 4

5, 6

7, 8,9,10,11,12 13

1,2,3 4

5,6,7,8,9

10,11

12, 13

NOMENCLATURE:

V-Vertical

X-Transverse (Horizontal)

Y-Longitudinal (Axial)

Newly Installed Pipe Existing Pipe

1 V, X ,Y DENOTES T-JUNCTION 1 V, X ,Y DENOTES STRAIGHT PIPE

2 V, X ,Y DENOTES ELBOW 2 V, X ,Y DENOTES ELBOW

3 V, X ,Y DENOTES STRAIGHT PIPE 3 V, X ,Y DENOTES STRAIGHT PIPE


5 V, X ,Y DENOTES STRAIGHT PIPE 5 V, X ,Y DENOTES ELBOW






11 V, X ,Y DENOTES STRAIGHT PIPE 11 V, X ,Y DENOTES T-JUNCTION

12 V, X ,Y DENOTES ELBOW 12 V, X ,Y DENOTES STRAIGHT PIPE


NOMENCLATURE:

PT 1: depicts the motor 2 poles characteristics

PT 2 : depicts the pump characteristics

PT 3 : depicts the inlet pipe to Pressure Vessel

PT 4 : depicts the T-Junction Flange to Pressure Vessel

PT 5 : depicts the Existing Pipe_Elbow

PT 6 : depicts the Existing Pipe_T-Junction

PT 7 : depicts the Newly Install Pipe_ T-Junction

PT 8 : depicts the Newly Install Pipe_ Straight

PT 9 : depicts the Newly Install Pipe_ Elbow

PT 10 : depicts the Newly Install Pipe_ Elbow

PT1 PT2

PT3

PT4

PT5

PT6

PT9

PT8

PT7

PT10

5.0 Vibration Criteria Span Vibration data were also compared with pipe vibration chart below :-

Design @

3Hz

Marginal @

3Hz

Correction @

3Hz

Danger @

3Hz

9 mil = 229 µm 19 mil = 483 µm 37 mil = 940 µm 90 mil = 2286 µm

Figure 11. Allowable Pipe Vibration Levels

Wachel, J. C. and Bates, C. L., Techniques for Controlling Piping Vibration and Failures,

ASME Paper 76-PET-18.

6.0 Summary Vibration Overall Amplitudes Results

for Inlet Pipe to Pressure Vessel

Overall Results

Measurements

location

Vibration amplitude in

Velocity (mm/sec) rms

Vibration amplitude in

Displacement (µm) pk-pk

1 V(Vertical) 3.37 429

1 X(Horizontal) 33.3 4240

1 Y(Axial) 1.71 218



2 Y(Axial) 2.19 279



3 Y(Axial) 2.51 319

Table 1 illustrates the vibration overall amplitudes results

Movie 1 : Depicts the occurrence of resonance phenomenon

at inlet pipe to Pressure vessel

7.0 Discussion & Analysis

Stress per deflection calculation below was based on the advanced analysis that inlet pipe was

performing like a cantilever with one end was fixed and other end was free. The maximum

deflection of the cantilever was measured with fixed end as reference or zero deflection. Obtain

more nearer to the analysis, it was necessary to calculate the deflection of free end point relative to

the fix point. Cross-Phase spectrums in figure 1 to 6 shows their phase difference plotted against

frequency.

Vibration forces exerted by rigid coupling differ from those with flexible ones. Flexible coupling

will exhibit multiples at 2x of the pump running speed. Flexible coupling is deemed more

forgiving should there be a misalignment in between two shafts. This pump is fixed coupled (rigid

type), and any misalignment in between shafts will not generate any 2x vibration signature. What

will be shown on vibration spectrum would either be harmonics of equipment running speed from

the effects of ‘rub’ in between shaft to sleeve bearing, axial forces as a result from roller bearing

with defects, or a 1x running speed component due to the exerting force from a bent shaft.

In this survey, we were not certain on whether the misalignment phenomenon has caused a defect

due to ‘sudden’ movement of the equipment train or vice-versa. It would logically require a

tremendous force to misalign such a massive pipeline. Fatigue damage accumulation is associated

to the total history of the cyclic wave bending moment rather than just the extreme value of the

moment per se; thus the random nature of this history needs to be considered.

The buckling failure of lower or upper structures is more complex. Lower and upper structures are

generally grillages stiffened longitudinally and tranversely, but still presenting transverse

structures, named frames, so that different buckling or clamping modes can occur : failure of

piping between stiffeners, inter-frame flexural buckling of the stiffeners, inter-frame tripping of

the stiffeners, inter-frame buckling of the panel and overall grillage failure, usually between lower

inlet pipe flanges, involving deflection of both longitudinal and transverse stiffeners.

Vibration forces from the piping, with combinations of the natural frequency encouraged

resonance to occur, and thus contributed to a slow but further cyclic deterioration of the structures.

Despite the vibration level being acceptable as compared against the Piping Stress Allowable, the

undesirable effect of resonance will be detrimental over a long period, should the owner decides to

operate its loading and operation at or near resonance condition.

8.0 Conclusion & Recommendations

a. Deflection at free end point horizontal direction 1(H) of Inlet Pipe to Pressure Vessel

exceeds the allowable deflection based on the allowable stress suggested by API 618

b. The amplitude at symmetrical locations on dissimilar loading stricture differs due to

variation in excitation magnitudes as well as possible difference in stiffness and damping

properties. Also we have seen that the quality of weld joint plays a very important role in

the strength and stress concentration factor at the weld joint

Data acquisition and calculation have been conducted with utmost care so that we arrive at an

acceptable result and minimize the inaccuracy. However, accuracy might be compromised due to

the factors below :-

a. Assumption on weight. The pipe and flange weight used for the calculation based on the

information of new pipe and flange. During operation time, the weight could alter because

of worn out, deposit, corrosion, etc.

b. Accuracy on the measurement of pipe and dimension

c. Selection of correction factor

Although such factors could contribute to a certain degree of erroneousness, we believe that it

would be still within engineering tolerance.

Recommendation to avert catastrophe would be :-

a. There is a need to reduce deflection to reduce the dynamic stress at inlet pipe, see Diagram

below.

b. Reinforcement pad at the branch connection will provide additional strength and reduce the

probability of joint failure.

In addition to reinforcement pad additional gusset support in the horizontal direction should not only reduce

deflection but also need to shift the resonance frequency higher (more stiffness)

EXISTING

PIPE

N

E

W

L

Y

I

N

S

T

P

I

P

E

EXISTING PIPE

MOTOR

PUMP

BASE

OULET

PIPE

FLANGE

PRESSURE

VESSEL

PD7067

EXISTING

PIPE

HANGER

PROPOSED

PIPE

HANGER

EXISTING

PIPE

3H=0.17 mm

3A=0.32mm

3V=0.07mm

2H=4.5 mm

2A=0.27mm

2V=0.03mm

1H=4.29 mm

1A=0.21mm

1V=0.42mm

EX

IST

ING

PIP

E

NE

WL

Y I

NS

TA

LL

ED

PIP

E

EXISTING PIPE

1H=0.05 mm

1A=0.06 mm

1V=0.01mm

2H=0.21 mm

2A=0.1mm

2V=0.05 mm

3H=0.08 mm

3A=0.09 mm

3V=0.04 mm

4H=0.05 mm

4A=0.05 mm

4V=0.01mm

5H=0.02 mm

5A=0.06mm

5V=0.01mm

6H=0.02 mm

6A=0.09mm

6V=0.02mm

7H=0.04 mm

7A=0.07mm

7V=0.01mm

8H=0.08 mm

8A=0.11mm

8V=0.08mm

9H

=0

.01

mm

9A

=0

.2m

m

9V

=0

.09m

m

10

H=

0.0

2 m

m

10A

=0

.38m

m

10

V=

0.0

2m

m

11

H=

0.0

2 m

m

11

A=

7.0

8m

m

11

V=

0.0

4m

m

12

H=

0.5

1 m

m

12

A=

0.2

5m

m

12

V=

0.0

4m

m

13H=9.65mm

13A=0.01mm

13V=0.05mm

7H=0.03 mm

7A=0.03mm

7V=0.25mm

6H=0.01 mm

6A=0.04mm

6V=0.2mm

5H=0.05 mm

5A=0.04mm

5V=0.04mm

3H=0.09 mm

3A=0.05mm

4V=0.09mm

3H=0.07 mm

3A=0.07mm

3V=0.03mm

2H=0.07 mm

2A=0.02mm

2V=0.04mm

1H=6.56 mm

1A=0.06mm

1V=0.02mm

Plot Cross Phase Analysis 1 indicates the resonance occurring between 2 Hz to 5 Hz with the amplitude of

27.64 mm/sec at 131.4º in which allocated at 1 metre away from the Pressure Vessel inlet pipe.


0.691 mm/sec at -108.8º in which allocated at 2 metre away from the Pressure Vessel inlet pipe.




0.61 mm/sec at 163º in which allocated at 2 metre away from the Pressure Vessel inlet pipe.

ROUTE WAVEFORM

05-MAY-08 11:14:34

RMS = .0011

PK(+) = .0030

PK(-) = .0034

CRESTF= 3.06

0 3 6 9 12 15 18 21 24 27

-0.004

-0.002

0

0.002

0.004

Time in Seconds

Acceleration in G-s

MPV2 - Piping Vibe_Existing Pipe 2

F2 -1V Vertical

ROUTE SPECTRUM

05-MAY-08 11:14:34

OVRALL= .5107 V-DG

RMS = .5044

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.04

0.08

0.12

0.16

0.20

Frequency in Hz

RMS Velocity in mm/Sec

58.13

13.37

54.89

56.88

58.13

59.11

ANALYSIS OF SPECTRAL PEAKS

**************************

Station: MPV2 --> MITSUI PIPING VIBE2

Machine: F2 --> Piping Vibe_Existing Pipe 2

Meas Point: 1V --> Vertical

Date/Time: 05-MAY-08 11:14 RPM = 1800. LOAD = 100.

Spectral Amplitude Units are mm/Sec RMS

SPECTRAL PEAK AMPLITUDE ALERT/FAULT ALARM FAULT

PARAMETER VALUE LEVELS CODE PERCENTAGE

------------- --------- ----------- ----- ----------

Spec Overall .504 mm/Sec 3.233 4.491 11.

Floor Ampltude .383 mm/Sec .808 1.123 34.

ACC Peak Total .016 G-s 2.632 3.656 0.

VEL Peak Total .406 mm/Sec 3.233 4.491 9.

DSP Peak Total 19.144 Microns 9.000 12.000 D 160.

Subsynchronous .216 mm/Sec .970 1.347 16.

2xRPM .046 mm/Sec 1.617 2.245 2.

3xRPM .013 mm/Sec 1.132 1.572 1.

5xRPM .017 mm/Sec .808 1.123 2.

Odd 3x-9xRPM .022 mm/Sec 1.940 2.694 1.

Even 2x-10xRPM .046 mm/Sec 1.940 2.694 2.

Nonsyn 1-3xRPM .319 mm/Sec .808 1.123 28.

Nonsy 3-10xRPM .119 mm/Sec .808 1.123 11.

1/4xRPM 1/3xRPM 1/2xRPM

------- ------- -------

Harmonic Probability 15% 7% 24%

Total Amplitude .0236 .0218 .0479

ROUTE WAVEFORM

05-MAY-08 11:57:11

RMS = .0019

PK(+) = .0065

PK(-) = .0053

CRESTF= 3.39

0 3 6 9 12 15 18 21 24 27

-0.008

-0.004

0

0.004

0.008

Time in Seconds

Acceleration in G-s

MPV2 - Piping Vibe_Existing Pipe 2

F2 -6V Vertical

ROUTE SPECTRUM

05-MAY-08 11:57:11

OVRALL= .7206 V-DG

RMS = .7171

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.1

0.2

0.3

0.4

0.5

Frequency in Hz


23.66


**************************


Machine: F2 --> Piping Vibe_Existing Pipe 2






------------- --------- ----------- ----- ----------



ACC Peak Total .011 G-s 2.632 3.656 0.




1xRPM .070 mm/Sec 2.910 4.042 2.

3xRPM .010 mm/Sec 1.132 1.572 1.

Odd 3x-9xRPM .010 mm/Sec 1.940 2.694 0.


Nonsy 3-10xRPM .041 mm/Sec .808 1.123 4.


------- ------- -------



--- List of Harmonic Families ---

Family Frequency/Order Energy Score (No.) Harmonic Members in Family

------ --------------- ------ ----- ---------------------------------

1 27.96 .93x .085 51 ( 4) 1 2 3 4

ROUTE WAVEFORM

05-MAY-08 12:56:33

RMS = .0112

PK(+) = .0309

PK(-) = .0327

CRESTF= 2.93

0 3 6 9 12 15 18 21 24 27

-0.04

-0.03

-0.02

-0.01

0

0.01

0.02

0.030.04

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -1V Vertical

ROUTE SPECTRUM

05-MAY-08 12:56:33

OVRALL= 3.38 V-DG

RMS = 3.37

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.5

1.0

1.5

2.0

2.5

3.0

3.54.0

Frequency in Hz


3.68


**************************


Machine: F5 --> 1 metre from the pump without strut






------------- --------- ----------- ----- ----------

Spec Overall 3.369 mm/Sec 3.233 4.491 C 75.


ACC Peak Total .010 G-s 2.632 3.656 0.

VEL Peak Total 3.101 mm/Sec 3.233 4.491 69.


Subsynchronous 3.097 mm/Sec .970 1.347 D 230.

1xRPM .022 mm/Sec 2.910 4.042 1.

2xRPM .007 mm/Sec 1.617 2.245 0.

3xRPM .009 mm/Sec 1.132 1.572 1.

Odd 3x-9xRPM .009 mm/Sec 1.940 2.694 0.

Even 2x-10xRPM .007 mm/Sec 1.940 2.694 0.


Nonsy 3-10xRPM .072 mm/Sec .808 1.123 6.


------- ------- -------



ROUTE WAVEFORM

05-MAY-08 12:57:52

RMS = .0868

PK(+) = .6562

PK(-) = .4599

CRESTF= 7.56

0 3 6 9 12 15 18 21 24 27

-0.6

-0.4

-0.2

-0.0

0.2

0.4

0.6

0.8

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -1X Transverse

ROUTE SPECTRUM

05-MAY-08 12:57:52

OVRALL= 33.30 V-DG

RMS = 33.12

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

3

6

9

12

15

18

21

24

Frequency in Hz


3.05


**************************



Meas Point: 1X --> Transverse





------------- --------- ----------- ----- ----------

Spec Overall 33.12 mm/Sec 3.23 4.49 D 737.

Floor Ampltude 9.90 mm/Sec .81 1.12 D 882.

ACC Peak Total .18 G-s 2.63 3.66 5.

VEL Peak Total 21.41 mm/Sec 3.23 4.49 D 477.



1xRPM 1.13 mm/Sec 2.91 4.04 28.

2xRPM .45 mm/Sec 1.62 2.25 20.

Even 2x-10xRPM .45 mm/Sec 1.94 2.69 17.

Nonsyn 1-3xRPM 3.60 mm/Sec .81 1.12 D 320.

Nonsy 3-10xRPM 1.27 mm/Sec .81 1.12 D 114.


------- ------- -------


Total Amplitude 4.51 .2952 .5837



------ --------------- ------ ----- ---------------------------------

1 11.34 .38x 1.978 51 ( 6) 1 2 3 5 7 10

2 12.43 .41x 2.187 49 ( 5) 1 2 4 6 7

ROUTE WAVEFORM

05-MAY-08 13:00:38

RMS = .0026

PK(+) = .0125

PK(-) = .0293

CRESTF= 11.12

0 3 6 9 12 15 18 21 24 27

-0.04

-0.03

-0.02

-0.01

0

0.01

0.02

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -1Y Longitudinal

ROUTE SPECTRUM

05-MAY-08 13:00:38

OVRALL= 1.71 V-DG

RMS = 1.70

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.2

0.4

0.6

0.8

1.0

1.2

Frequency in Hz


1.83


**************************



Meas Point: 1Y --> Longitudinal





------------- --------- ----------- ----- ----------

Spec Overall 1.702 mm/Sec 3.233 4.491 38.


ACC Peak Total .016 G-s 2.632 3.656 0.




1xRPM .023 mm/Sec 2.910 4.042 1.

2xRPM .029 mm/Sec 1.617 2.245 1.

3xRPM .026 mm/Sec 1.132 1.572 2.

Odd 3x-9xRPM .026 mm/Sec 1.940 2.694 1.

Even 2x-10xRPM .029 mm/Sec 1.940 2.694 1.


Nonsy 3-10xRPM .056 mm/Sec .808 1.123 5.


------- ------- -------



ROUTE WAVEFORM

05-MAY-08 13:02:16

RMS = .0004

PK(+) = .0013

PK(-) = .0013

CRESTF= 3.31

0 3 6 9 12 15 18 21 24 27

-0.0018

-0.0012

-0.0006

0

0.0006

0.0012

0.0018

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -2V Vertical

ROUTE SPECTRUM

05-MAY-08 13:02:16

OVRALL= .2882 V-DG

RMS = .2863

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.02

0.04

0.06

0.08

0.10

0.12

0.140.16

Frequency in Hz


48.61


**************************








------------- --------- ----------- ----- ----------



ACC Peak Total .009 G-s 2.632 3.656 0.


DSP Peak Total 9.604 Microns 9.000 12.000 C 80.


1xRPM .062 mm/Sec 2.910 4.042 2.

2xRPM .006 mm/Sec 1.617 2.245 0.

3xRPM .024 mm/Sec 1.132 1.572 2.

Odd 3x-9xRPM .024 mm/Sec 1.940 2.694 1.

Even 2x-10xRPM .006 mm/Sec 1.940 2.694 0.


Nonsy 3-10xRPM .071 mm/Sec .808 1.123 6.


------- ------- -------





------ --------------- ------ ----- ---------------------------------

1 13.88 .46x .054 51 ( 7) 1 2 3 4 5 7 14

2 24.27 .81x .133 45 ( 6) 1 2 3 4 6 8

3 48.59 1.62x .128 50 ( 4) 1 2 3 4

ROUTE WAVEFORM

05-MAY-08 13:04:53

RMS = .2121

PK(+) = 1.28

PK(-) = 1.58

CRESTF= 7.45

0 3 6 9 12 15 18 21 24 27

-1.8

-1.5

-1.2

-0.9

-0.6

-0.3

0

0.3

0.6

0.9

1.2

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -2X Transverse

ROUTE SPECTRUM

05-MAY-08 13:04:53

OVRALL= 35.07 V-DG

RMS = 34.91

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

3

6

9

12

15

18

21

24

Frequency in Hz


1.07


**************************








------------- --------- ----------- ----- ----------

Spec Overall 34.91 mm/Sec 3.23 4.49 D 777.


ACC Peak Total .12 G-s 2.63 3.66 3.

VEL Peak Total 29.88 mm/Sec 3.23 4.49 D 665.



1xRPM 1.06 mm/Sec 2.91 4.04 26.

2xRPM .20 mm/Sec 1.62 2.25 9.

3xRPM .15 mm/Sec 1.13 1.57 10.

Odd 3x-9xRPM .15 mm/Sec 1.94 2.69 6.

Even 2x-10xRPM .20 mm/Sec 1.94 2.69 8.

Nonsyn 1-3xRPM 2.63 mm/Sec .81 1.12 D 234.

Nonsy 3-10xRPM .65 mm/Sec .81 1.12 58.

2x Line Freq .15 mm/Sec .03 .06 D 264.


------- ------- -------


Total Amplitude 3.23 .2117 .0



------ --------------- ------ ----- ---------------------------------

1 7.64 .25x 3.987 54 ( 4) 1 2 3 8

ROUTE WAVEFORM

05-MAY-08 13:06:21

RMS = .0110

PK(+) = .0350

PK(-) = .0306

CRESTF= 3.18

0 3 6 9 12 15 18 21 24 27

-0.04

-0.03

-0.02

-0.01

0

0.01

0.02

0.030.04

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -2Y Longitudinal

ROUTE SPECTRUM

05-MAY-08 13:06:21

OVRALL= 2.20 V-DG

RMS = 2.19

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

Frequency in Hz


3.64


**************************








------------- --------- ----------- ----- ----------



ACC Peak Total .032 G-s 2.632 3.656 1.




1xRPM .031 mm/Sec 2.910 4.042 1.

2xRPM .039 mm/Sec 1.617 2.245 2.

3xRPM .074 mm/Sec 1.132 1.572 5.

Odd 3x-9xRPM .074 mm/Sec 1.940 2.694 3.

Even 2x-10xRPM .039 mm/Sec 1.940 2.694 1.


Nonsy 3-10xRPM .079 mm/Sec .808 1.123 7.


------- ------- -------



ROUTE WAVEFORM

05-MAY-08 13:07:57

RMS = .0012

PK(+) = .0036

PK(-) = .0037

CRESTF= 3.12

0 3 6 9 12 15 18 21 24 27

-0.006

-0.004

-0.002

0.000

0.002

0.004

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -3V Vertical

ROUTE SPECTRUM

05-MAY-08 13:07:57

OVRALL= .5546 V-DG

RMS = .5518

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.05

0.10

0.15

0.20

0.25

0.30

0.35

Frequency in Hz


48.60


**************************








------------- --------- ----------- ----- ----------



ACC Peak Total .017 G-s 2.632 3.656 0.


DSP Peak Total 9.609 Microns 9.000 12.000 C 80.


1xRPM .105 mm/Sec 2.910 4.042 3.

2xRPM .024 mm/Sec 1.617 2.245 1.

3xRPM .016 mm/Sec 1.132 1.572 1.

4xRPM .023 mm/Sec .808 1.123 2.

Odd 3x-9xRPM .016 mm/Sec 1.940 2.694 1.

Even 2x-10xRPM .033 mm/Sec 1.940 2.694 1.


Nonsy 3-10xRPM .144 mm/Sec .808 1.123 13.


------- ------- -------



ROUTE WAVEFORM

05-MAY-08 13:08:49

RMS = .0947

PK(+) = .9963

PK(-) = .4707

CRESTF= 10.52

0 3 6 9 12 15 18 21 24 27

-0.6

-0.4

-0.2

-0.0

0.2

0.4

0.6

0.8

1.0

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -3X Transverse

ROUTE SPECTRUM

05-MAY-08 13:08:49

OVRALL= 1.38 V-DG

RMS = 1.37

LOAD = 100.0

RPM = 1800.

RPS = 30.00

0 40 80 120 160 200

0

0.1

0.2

0.3

0.4

0.5

0.6

0.70.8

Frequency in Hz


3.28


**************************








------------- --------- ----------- ----- ----------



ACC Peak Total .034 G-s 2.632 3.656 1.




1xRPM .098 mm/Sec 2.910 4.042 2.

2xRPM .065 mm/Sec 1.617 2.245 3.

3xRPM .132 mm/Sec 1.132 1.572 8.

Odd 3x-9xRPM .132 mm/Sec 1.940 2.694 5.

Even 2x-10xRPM .065 mm/Sec 1.940 2.694 2.


Nonsy 3-10xRPM .220 mm/Sec .808 1.123 20.


------- ------- -------





------ --------------- ------ ----- ---------------------------------

1 24.35 .81x .498 48 ( 5) 1 2 3 4 6

ROUTE WAVEFORM

05-MAY-08 13:10:04

RMS = .0106

PK(+) = .0355

PK(-) = .0355

CRESTF= 3.35

0 3 6 9 12 15 18 21 24 27

-0.04

-0.03

-0.02

-0.01

0

0.01

0.02

0.030.04

Time in Seconds

Acceleration in G-s

MPV2 - Floor 5

F5 -3Y Longitudinal

ROUTE SPECTRUM

05-MAY-08 13:10:04

OVRALL= 2.52 V-DG

RMS = 2.51

LOAD = 100.0

RPM = 1808.

RPS = 30.13

0 40 80 120 160 200

0

0.3

0.6

0.9

1.2

1.5

1.8

2.1

2.4

Frequency in Hz


3.62


**************************








------------- --------- ----------- ----- ----------



ACC Peak Total .038 G-s 2.632 3.656 1.




1xRPM .098 mm/Sec 2.910 4.042 2.

2xRPM .060 mm/Sec 1.617 2.245 3.

3xRPM .220 mm/Sec 1.132 1.572 14.

Odd 3x-9xRPM .220 mm/Sec 1.940 2.694 8.

Even 2x-10xRPM .060 mm/Sec 1.940 2.694 2.


Nonsy 3-10xRPM .443 mm/Sec .808 1.123 39.


------- ------- -------



Plot Existing Pipe 1V

Plot Existing Pipe 1H

Plot Existing Pipe 1A

*** ROTOR BEARING TECHNOLOGY & SOFTWARE, INC. *** Page # 2

STABILITY AND NATURAL FREQUENCY ANALYSIS PROGRAM FOR

AXISYMETRIC ROTATING SHAFTS *** ROSTAT *** [V5.3G1]

======================================================

PD7067_MITSUI PHENOL

Operating Speed Range 1000 to 6000 Rpm.

IRREGULARITY OF STRUTS & SNUBBERS INDUCED PIPING VIBRATION

>>> SHAFT ELEMENT DATA <<<

..............................

O.D. I.D. O.D. I.D.

Shaft * E L E M E N T * LENGTH (Left End Of Element) (Right End Of

Element)

No. STATIONS TYPE MAT. (Inch) (Inch) (Inch) (Inch) (Inch)

----- -------- ---- --- --------- ---------- ---------- ---------- ----------

-

1 1 2 1 1 1.000E+01 1.700E+00 0.000E+00 1.700E+00 0.000E+00

2 2 3 1 1 1.000E+01 1.900E+00 0.000E+00 1.900E+00 0.000E+00

3 3 4 1 1 2.500E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

4 4 5 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

5 5 6 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

6 6 7 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

7 7 8 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

8 8 9 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

9 9 10 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

10 10 11 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

11 11 12 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

12 12 13 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

13 13 14 1 1 1.250E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

14 14 15 -1 1 1.000E+00 2.000E+00 0.000E+00 1.025E+01 0.000E+00

15 15 16 1 1 2.500E-01 2.000E+00 0.000E+00 2.000E+00 0.000E+00

16 16 17 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

17 17 18 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

18 18 19 1 1 7.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

19 19 20 1 1 1.000E+00 1.000E+00 0.000E+00 1.000E+00 0.000E+00

20 20 21 1 1 1.500E+02 1.000E+00 5.000E-01 1.000E+00 5.000E-01

>>> DISC PROPERTY DATA <<<

............................

POLAR TRANSVERSE

MOMENT OF MOMENT OF Name/Description

DISC NODE WEIGHT INERTIA INERTIA

NUMBER NUMBER (LBS) (LB-IN^2) (LB-IN^2)

------ ------ ------------ ------------ ------------ ----------------

1 5 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 1

2 7 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 2

3 9 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 3

4 11 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 4

5 13 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 5

6 15 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 6

7 20 2.5000E+02 2.5000E+03 1.2500E+03 COUPLING

8 21 1.0000E+02 1.6000E+02 8.0000E+01 Pipe Elbow




======================================================




THE STABILITY ANALYSIS PERFORMED WAS FOR

SHAFT OPERATING SPEED OF ---------------> 1.0000E+03 (RPM)

WITH BEARING & HOUSING STIFFNESS AND DAMPING MATRICES

.........................................................

BEARING No. ( 1); AT Station No. ( 1) with Y-Elevation = 0.0000E+00

BEARING STIFFNESS MATRIX Size Specified = 2

[ Units are in LB/IN ]

1.288E+05 5.328E+04

-3.058E+05 2.220E+05

BEARING DAMPING MATRIX :-

[ Units are in LB-SEC/IN ]

1.587E+03 -1.216E+03

-1.249E+03 5.620E+03




3.410E+05 7.848E+04

-7.366E+05 7.160E+05



3.596E+03 -4.115E+03

-4.047E+03 1.364E+04




======================================================




>>> Analysis Performed With The Following Externally Applied Loads <<<

........................................................................

+Y Number of Concentrated Nodal

| Force & Moment Components ---------------> 1

| Gravity Loading Factor in X Direction ---> 0.000

+-----> +X Gravity Loading Factor in Y Direction ---> -1.000

/ Gravity Constant (In/Sec^2) -------------> 3.86400E+02

/

+Z

Station Load Degree Load Magnitude

Number Direction of-Freedom (LB) or (LB-IN)

-------- ------------ ------------ --------------

10 2 -- Y 38 -7.5000E+02

>>> COMPUTED DEFLECTIONS (Displ. & Rot.) at EACH SHAFT STATION <<<

[* Calculations Consider Housing Stiffness Not Bearings *]

....................................................................

Station Axial Horizontal Vertical Rotations Rotations

Number Location X-Deflection Y-Deflection About - X About - Y

(Inch) (Inch) (Inch) (In/In) (In/In)

------- ------------ ------------ ------------ ------------ ------------

1 0.00000E+00 0.00000E+00 0.00000E+00 -4.82026E+00 0.00000E+00

2 1.00000E+01 0.00000E+00 4.81632E+01 -4.80807E+00 0.00000E+00

3 2.00000E+01 0.00000E+00 9.61408E+01 -4.78463E+00 0.00000E+00

4 2.25000E+01 0.00000E+00 1.08094E+02 -4.77787E+00 0.00000E+00

5 2.35000E+01 0.00000E+00 1.12868E+02 -4.76405E+00 0.00000E+00

6 2.85000E+01 0.00000E+00 1.36649E+02 -4.74736E+00 0.00000E+00

7 2.95000E+01 0.00000E+00 1.41391E+02 -4.72976E+00 0.00000E+00

8 3.45000E+01 0.00000E+00 1.64990E+02 -4.70899E+00 0.00000E+00

9 3.55000E+01 0.00000E+00 1.69693E+02 -4.68755E+00 0.00000E+00

10 4.05000E+01 0.00000E+00 1.93071E+02 -4.66265E+00 0.00000E+00

11 4.15000E+01 0.00000E+00 1.97726E+02 -4.63725E+00 0.00000E+00

12 4.65000E+01 0.00000E+00 2.20841E+02 -4.60757E+00 0.00000E+00

13 4.75000E+01 0.00000E+00 2.25440E+02 -4.57726E+00 0.00000E+00

14 4.87500E+01 0.00000E+00 2.31157E+02 -4.56892E+00 0.00000E+00

15 4.97500E+01 0.00000E+00 2.35725E+02 -4.56840E+00 0.00000E+00

16 5.00000E+01 0.00000E+00 2.36867E+02 -4.56669E+00 0.00000E+00

17 6.00000E+01 0.00000E+00 2.77152E+02 -3.50172E+00 0.00000E+00

18 7.00000E+01 0.00000E+00 3.07122E+02 -2.50365E+00 0.00000E+00

19 7.70000E+01 0.00000E+00 3.24502E+02 -2.46247E+00 0.00000E+00

20 7.80000E+01 0.00000E+00 3.26919E+02 -2.37109E+00 0.00000E+00

21 2.28000E+02 0.00000E+00 0.00000E+00 4.45457E+00 0.00000E+00




======================================================




>>> COMPUTED ROTOR PARAMETERS <<<

...................................

Shaft Axial Polar Moment Transverse

Station Location Shaft of Inertia Moment Disc Bearing

# (Inch) Weight (lbs) (lb-in^2) (lb-in^2) Weight (lbs) Station

------- ---------- ------------ ------------ ------------ ------------ -------

1 0.0000E+00 3.2118E+00 1.1603E+00 2.7345E+01 0.0000E+00 Yes

2 1.0000E+01 7.2237E+00 2.9706E+00 6.1683E+01 0.0000E+00

3 2.0000E+01 5.1233E+00 2.3661E+00 3.5195E+01 0.0000E+00

4 2.2500E+01 1.4262E+00 6.6025E-01 9.8693E-01 0.0000E+00

5 2.3500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

6 2.8500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

7 2.9500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

8 3.4500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

9 3.5500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

10 4.0500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

11 4.1500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

12 4.6500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

13 4.7500E+01 7.5941E-01 3.4551E-01 2.2944E-01 5.0000E+01

14 4.8750E+01 3.4834E+00 2.3513E+01 5.4880E-01 0.0000E+00

15 4.9750E+01 6.7826E+00 5.3003E+01 3.9761E+01 5.0000E+01

16 5.0000E+01 1.2225E+00 1.9448E-01 9.3590E+00 0.0000E+00

17 6.0000E+01 2.2227E+00 2.7783E-01 1.8661E+01 0.0000E+00

18 7.0000E+01 4.2231E+00 1.6948E+00 2.2815E+01 0.0000E+00

19 7.7000E+01 3.2229E+00 1.5698E+00 1.3500E+01 0.0000E+00

20 7.8000E+01 1.6781E+01 2.0977E+00 3.1257E+04 2.5000E+02

21 2.2800E+02 1.6670E+01 2.0838E+00 3.1257E+04 1.0000E+02 Yes

------- ---------- ------------ ------------ ------------ ------------ -------

Total= 2.2800E+02 9.2209E+01 1.0152E+02 6.2787E+04 6.5000E+02

Total Shaft Weight (LBS) ---------------> 9.22087E+01

Total Disc Weight (LBS) ---------------> 6.50000E+02

OVER ALL Rotor Weight (LBS) ------------> 7.42209E+02

Total Shaft Length (Inch) --------------> 2.28000E+02

C. G. Location from Station 1 (Inch) ---> 8.21287E+01

>>> Computed Bearing REACTIONS <<<

..................................

Bearing Station Force (lbs) Force (lbs) Resultant Angle (Deg.)

Number. Number. X-Direction Y-Direction (lbs) From +X Axis

------- ------- ------------ ------------ ------------ ------------

1 1 0.00000E+00 -2.89365E+03 2.89365E+03 -9.00000E+01

2 21 0.00000E+00 -7.47024E+02 7.47024E+02 -9.00000E+01




======================================================




Shaft Element FORCES, MOMENTS and STRESSES

--------------------------------------------

ELEMENT FORCE-X FORCE-Y MOMENT-X MOMENT-Y FIBER-STR. SHEAR-STR.

# Node (Shear) (Shear) (IN-LB) (IN-LB) Max. (KSI) Max. (KSI)

------- ---------- ---------- ---------- ---------- ---------- ----------

1 1 0.000E+00 2.894E+03 1.462E+00 0.000E+00 3.032E-03 1.700E+00

2 0.000E+00 2.900E+03 2.897E+04 0.000E+00 6.006E+01 1.704E+00

2 2 0.000E+00 2.900E+03 2.897E+04 0.000E+00 4.302E+01 1.364E+00

3 0.000E+00 2.908E+03 5.802E+04 0.000E+00 8.616E+01 1.368E+00

3 3 0.000E+00 2.989E+03 5.786E+04 0.000E+00 7.367E+01 1.268E+00

4 0.000E+00 2.989E+03 6.526E+04 0.000E+00 8.309E+01 1.268E+00

4 4 0.000E+00 3.010E+03 6.530E+04 0.000E+00 8.315E+01 1.278E+00

5 0.000E+00 3.010E+03 6.831E+04 0.000E+00 6.958E+02 5.111E+00

5 5 0.000E+00 3.082E+03 6.834E+04 0.000E+00 8.701E+01 1.308E+00

6 0.000E+00 3.082E+03 8.374E+04 0.000E+00 1.066E+02 1.308E+00

6 6 0.000E+00 2.956E+03 8.377E+04 0.000E+00 1.067E+02 1.254E+00

7 0.000E+00 2.956E+03 8.675E+04 0.000E+00 8.837E+02 5.018E+00

7 7 0.000E+00 3.152E+03 8.676E+04 0.000E+00 1.105E+02 1.338E+00

8 0.000E+00 3.152E+03 1.025E+05 0.000E+00 1.305E+02 1.338E+00

8 8 0.000E+00 3.287E+03 1.023E+05 0.000E+00 1.303E+02 1.395E+00

9 0.000E+00 3.287E+03 1.056E+05 0.000E+00 1.075E+03 5.581E+00

9 9 0.000E+00 3.110E+03 1.056E+05 0.000E+00 1.345E+02 1.320E+00

10 0.000E+00 3.142E+03 1.212E+05 0.000E+00 1.543E+02 1.333E+00

10 10 0.000E+00 3.917E+03 1.211E+05 0.000E+00 1.542E+02 1.662E+00

11 0.000E+00 3.917E+03 1.252E+05 0.000E+00 1.275E+03 6.649E+00

11 11 0.000E+00 4.029E+03 1.251E+05 0.000E+00 1.593E+02 1.710E+00

12 0.000E+00 4.029E+03 1.453E+05 0.000E+00 1.850E+02 1.710E+00

12 12 0.000E+00 3.896E+03 1.450E+05 0.000E+00 1.847E+02 1.654E+00

13 0.000E+00 3.896E+03 1.491E+05 0.000E+00 1.519E+03 6.615E+00

13 13 0.000E+00 4.640E+03 1.491E+05 0.000E+00 1.898E+02 1.969E+00

14 0.000E+00 4.640E+03 1.548E+05 0.000E+00 1.970E+02 1.969E+00

14 14 0.000E+00 -1.752E+03 1.549E+05 0.000E+00 1.973E+02 7.435E-01

15 0.000E+00 -1.752E+03 1.549E+05 0.000E+00 1.465E+00 2.831E-02

15 15 0.000E+00 -2.213E+03 1.566E+05 0.000E+00 1.994E+02 9.394E-01

16 0.000E+00 -2.213E+03 1.561E+05 0.000E+00 1.987E+02 9.394E-01

16 16 0.000E+00 -9.544E+02 1.564E+05 0.000E+00 1.593E+03 1.620E+00

17 0.000E+00 -9.524E+02 1.468E+05 0.000E+00 1.496E+03 1.617E+00

17 17 0.000E+00 -9.526E+02 1.468E+05 0.000E+00 1.496E+03 1.617E+00

18 0.000E+00 -9.506E+02 1.373E+05 0.000E+00 1.399E+03 1.614E+00

18 18 0.000E+00 -9.403E+02 1.374E+05 0.000E+00 1.749E+02 3.991E-01

19 0.000E+00 -9.403E+02 1.307E+05 0.000E+00 1.664E+02 3.991E-01

19 19 0.000E+00 -9.086E+02 1.305E+05 0.000E+00 1.330E+03 1.543E+00

20 0.000E+00 -9.086E+02 1.296E+05 0.000E+00 1.320E+03 1.543E+00

20 20 0.000E+00 -8.804E+02 1.296E+05 0.000E+00 1.320E+03 1.495E+00

21 0.000E+00 -8.470E+02 -3.849E-04 0.000E+00 3.921E-06 1.438E+00

Execution Successfully COMPLETED on ---> 5/ 8/2008 @ 9:56: 9

Elapsed TIME for Execution ------------> 0.0073 ( MINUTES )

BASED ON 4000 RPM



AXISYMETRIC ROTATING SHAFTS *** ROSTAB *** [V5.3G1]

======================================================




THE ANALYSIS PERFORMED FOR THE FOLLOWING

ROTOR SYSTEM CONFIGURATION >>>>>>>>>>>>>

........................................

NUMBER OF * STATIONS * THE SHAFT IS MODELED BY -------> 21

NUMBER OF * SHAFT * ELEMENTS IN THE ROTOR SYSTEM --> 20

NUMBER OF * DISCS * IN THE ROTOR SYSTEM -----------> 8

NUMBER OF * BEARINGS * IN THE ROTOR SYSTEM -----------> 2

NUMBER OF * MATERIALS* THE SHAFTING IS COMPOSED OF ---> 1

NUMBER OF * MODES * (Mode Shapes) TO BE PLOTTED ---> 8

* GRAVITY * ---- ( Inch/SEC^2) -----------> 3.8640E+02

Units of measures used for this problem are ----------> [ US (English) ]

>>> MATERIAL DATA <<<

.............................

MATERIAL MODULUS OF SHEAR DENSITY MATERIAL

NUMBER ELASTICITY MODULUS DAMPING

# (LB/IN^2) (LB/IN^2) (LB/IN^3)

-------- ------------ ------------ ------------ ------------

1 2.9000E+07 1.1500E+07 2.8300E-01 0.0000E+00




======================================================





..............................

O.D. I.D. O.D. I.D.


Element)


----- -------- ---- --- --------- ---------- ---------- ---------- ----------

-

1 1 2 1 1 1.000E+01 1.700E+00 0.000E+00 1.700E+00 0.000E+00

2 2 3 1 1 1.000E+01 1.900E+00 0.000E+00 1.900E+00 0.000E+00

3 3 4 1 1 2.500E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

4 4 5 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

5 5 6 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

6 6 7 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

7 7 8 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

8 8 9 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

9 9 10 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

10 10 11 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

11 11 12 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

12 12 13 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

13 13 14 1 1 1.250E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

14 14 15 -1 1 1.000E+00 2.000E+00 0.000E+00 1.025E+01 0.000E+00

15 15 16 1 1 2.500E-01 2.000E+00 0.000E+00 2.000E+00 0.000E+00

16 16 17 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

17 17 18 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

18 18 19 1 1 7.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

19 19 20 1 1 1.000E+00 1.000E+00 0.000E+00 1.000E+00 0.000E+00

20 20 21 1 1 1.500E+02 1.000E+00 5.000E-01 1.000E+00 5.000E-01


............................

POLAR TRANSVERSE

MOMENT OF MOMENT OF Name/Description



------ ------ ------------ ------------ ------------ ----------------

1 5 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 1

2 7 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 2

3 9 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 3

4 11 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 4

5 13 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 5

6 15 5.0000E+01 8.0000E+02 4.0000E+02 PUMP STAGE 6

7 20 2.5000E+02 2.5000E+03 1.2500E+03 COUPLING

8 21 1.0000E+02 1.6000E+02 8.0000E+01 Pipe Elbow




======================================================




THE STABILITY ANALYSIS PERFORMED WAS FOR


WITH BEARING & HOUSING STIFFNESS AND DAMPING MATRICES

.........................................................




1.288E+05 5.328E+04

-3.058E+05 2.220E+05



1.587E+03 -1.216E+03

-1.249E+03 5.620E+03




3.410E+05 7.848E+04

-7.366E+05 7.160E+05



3.596E+03 -4.115E+03

-4.047E+03 1.364E+04




======================================================




>>> Analysis Performed With The Following Externally Applied Loads <<<

........................................................................

+Y Number of Concentrated Nodal

| Force & Moment Components ---------------> 1

| Gravity Loading Factor in X Direction ---> 0.000

+-----> +X Gravity Loading Factor in Y Direction ---> -1.000

/ Gravity Constant (In/Sec^2) -------------> 3.86400E+02

/

+Z

Station Load Degree Load Magnitude

Number Direction of-Freedom (LB) or (LB-IN)

-------- ------------ ------------ --------------

10 2 -- Y 38 -7.5000E+02

>>> COMPUTED DEFLECTIONS (Displ. & Rot.) at EACH SHAFT STATION <<<

[* Calculations Consider Housing Stiffness Not Bearings *]

....................................................................

Station Axial Horizontal Vertical Rotations Rotations

Number Location X-Deflection Y-Deflection About - X About - Y

(Inch) (Inch) (Inch) (In/In) (In/In)

------- ------------ ------------ ------------ ------------ ------------

1 0.00000E+00 0.00000E+00 0.00000E+00 7.56121E-01 0.00000E+00

2 1.00000E+01 0.00000E+00 -7.55306E+00 7.53598E-01 0.00000E+00

3 2.00000E+01 0.00000E+00 -1.50677E+01 7.48767E-01 0.00000E+00

4 2.25000E+01 0.00000E+00 -1.69380E+01 7.47377E-01 0.00000E+00

5 2.35000E+01 0.00000E+00 -1.76846E+01 7.44546E-01 0.00000E+00

6 2.85000E+01 0.00000E+00 -2.13993E+01 7.41188E-01 0.00000E+00

7 2.95000E+01 0.00000E+00 -2.21395E+01 7.37715E-01 0.00000E+00

8 3.45000E+01 0.00000E+00 -2.58183E+01 7.33713E-01 0.00000E+00

9 3.55000E+01 0.00000E+00 -2.65509E+01 7.29686E-01 0.00000E+00

10 4.05000E+01 0.00000E+00 -3.01882E+01 7.25121E-01 0.00000E+00

11 4.15000E+01 0.00000E+00 -3.09120E+01 7.20707E-01 0.00000E+00

12 4.65000E+01 0.00000E+00 -3.45041E+01 7.16222E-01 0.00000E+00

13 4.75000E+01 0.00000E+00 -3.52192E+01 7.12310E-01 0.00000E+00

14 4.87500E+01 0.00000E+00 -3.61089E+01 7.11291E-01 0.00000E+00

15 4.97500E+01 0.00000E+00 -3.68201E+01 7.11230E-01 0.00000E+00

16 5.00000E+01 0.00000E+00 -3.69979E+01 7.11035E-01 0.00000E+00

17 6.00000E+01 0.00000E+00 -4.34664E+01 5.80906E-01 0.00000E+00

18 7.00000E+01 0.00000E+00 -4.85823E+01 4.40548E-01 0.00000E+00

19 7.70000E+01 0.00000E+00 -5.16435E+01 4.34034E-01 0.00000E+00

20 7.80000E+01 0.00000E+00 -5.20700E+01 4.18763E-01 0.00000E+00

21 2.28000E+02 0.00000E+00 0.00000E+00 -7.30054E-01 0.00000E+00




======================================================




>>> COMPUTED ROTOR PARAMETERS <<<

...................................

Shaft Axial Polar Moment Transverse

Station Location Shaft of Inertia Moment Disc Bearing

# (Inch) Weight (lbs) (lb-in^2) (lb-in^2) Weight (lbs) Station

------- ---------- ------------ ------------ ------------ ------------ -------

1 0.0000E+00 3.2118E+00 1.1603E+00 2.7345E+01 0.0000E+00 Yes

2 1.0000E+01 7.2237E+00 2.9706E+00 6.1683E+01 0.0000E+00

3 2.0000E+01 5.1233E+00 2.3661E+00 3.5195E+01 0.0000E+00

4 2.2500E+01 1.4262E+00 6.6025E-01 9.8693E-01 0.0000E+00

5 2.3500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

6 2.8500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

7 2.9500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

8 3.4500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

9 3.5500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

10 4.0500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

11 4.1500E+01 2.4264E+00 1.1790E+00 5.2044E+00 5.0000E+01

12 4.6500E+01 2.5376E+00 1.2159E+00 5.3165E+00 0.0000E+00

13 4.7500E+01 7.5941E-01 3.4551E-01 2.2944E-01 5.0000E+01

14 4.8750E+01 3.4834E+00 2.3513E+01 5.4880E-01 0.0000E+00

15 4.9750E+01 6.7826E+00 5.3003E+01 3.9761E+01 5.0000E+01

16 5.0000E+01 1.2225E+00 1.9448E-01 9.3590E+00 0.0000E+00

17 6.0000E+01 2.2227E+00 2.7783E-01 1.8661E+01 0.0000E+00

18 7.0000E+01 4.2231E+00 1.6948E+00 2.2815E+01 0.0000E+00

19 7.7000E+01 3.2229E+00 1.5698E+00 1.3500E+01 0.0000E+00

20 7.8000E+01 1.6781E+01 2.0977E+00 3.1257E+04 2.5000E+02

21 2.2800E+02 1.6670E+01 2.0838E+00 3.1257E+04 1.0000E+02 Yes

------- ---------- ------------ ------------ ------------ ------------ -------

Total= 2.2800E+02 9.2209E+01 1.0152E+02 6.2787E+04 6.5000E+02

Total Shaft Weight (LBS) ---------------> 9.22087E+01

Total Disc Weight (LBS) ---------------> 6.50000E+02

OVER ALL Rotor Weight (LBS) ------------> 7.42209E+02

Total Shaft Length (Inch) --------------> 2.28000E+02

C. G. Location from Station 1 (Inch) ---> 8.21287E+01

>>> Computed Bearing REACTIONS <<<

..................................

Bearing Station Force (lbs) Force (lbs) Resultant Angle (Deg.)

Number. Number. X-Direction Y-Direction (lbs) From +X Axis

------- ------- ------------ ------------ ------------ ------------

1 1 0.00000E+00 6.03182E+02 6.03182E+02 9.00000E+01

2 21 0.00000E+00 2.62037E+02 2.62037E+02 9.00000E+01




======================================================




>>> STABILITY ANALYSIS <<<

..................................

..................................

Growth Logarithmic Critical * F R E Q U E N C Y *

Number Factor Decrement Damping Hz Cyc/Sec REV/MIN

------ ----------- ----------- ----------- ----------- -----------

3 -2.3647E-03 7.3512E-08 1.1700E-08 3.2167E+04 1.9300E+06

5 2.3648E-03 -7.3514E-08 -1.1700E-08 3.2167E+04 1.9300E+06

7 -4.4126E-04 1.8724E-08 2.9801E-09 2.3566E+04 1.4140E+06

9 4.4129E-04 -1.8726E-08 -2.9803E-09 2.3566E+04 1.4139E+06

11 -3.3511E-02 2.9898E-06 4.7584E-07 1.1209E+04 6.7251E+05

13 -9.2764E-03 8.2762E-07 1.3172E-07 1.1209E+04 6.7251E+05

15 4.0816E-03 -5.4873E-07 -8.7333E-08 7.4383E+03 4.4630E+05

17 -4.0808E-03 5.4861E-07 8.7314E-08 7.4384E+03 4.4630E+05

19 -5.6600E-03 7.5833E-07 1.2069E-07 7.4638E+03 4.4783E+05

21 5.6535E-03 -7.5745E-07 -1.2055E-07 7.4638E+03 4.4783E+05

23 2.7773E-03 -3.6966E-07 -5.8833E-08 7.5132E+03 4.5079E+05

25 -2.7775E-03 3.6968E-07 5.8837E-08 7.5132E+03 4.5079E+05

27 8.0977E-03 -1.0807E-06 -1.7200E-07 7.4929E+03 4.4957E+05

29 -8.0970E-03 1.0806E-06 1.7199E-07 7.4929E+03 4.4957E+05

32 3.9725E-04 -9.5925E-08 -1.5267E-08 4.1412E+03 2.4847E+05

34 -3.9725E-04 9.5926E-08 1.5267E-08 4.1412E+03 2.4847E+05

36 -8.6109E-05 3.0594E-08 4.8693E-09 2.8145E+03 1.6887E+05

38 8.6399E-05 -3.0759E-08 -4.8954E-09 2.8089E+03 1.6854E+05

40 -7.1409E-01 4.3574E-04 6.9350E-05 1.6388E+03 9.8328E+04

42 -6.9237E-01 4.2265E-04 6.7267E-05 1.6382E+03 9.8289E+04

45 -3.2880E-05 3.4346E-08 5.4663E-09 9.5731E+02 5.7439E+04

47 3.3573E-05 -3.6295E-08 -5.7765E-09 9.2499E+02 5.5500E+04

49 -1.2054E-02 1.6087E-05 2.5603E-06 7.4931E+02 4.4959E+04

51 -6.6151E-03 8.8709E-06 1.4118E-06 7.4571E+02 4.4742E+04

53 -5.0726E-05 7.4754E-08 1.1897E-08 6.7857E+02 4.0714E+04

55 -1.6130E-02 2.2059E-05 3.5108E-06 7.3124E+02 4.3874E+04

57 -9.1152E-03 1.2537E-05 1.9953E-06 7.2706E+02 4.3624E+04

59 -9.5872E-03 1.3165E-05 2.0952E-06 7.2825E+02 4.3695E+04

61 -9.7821E-03 1.3880E-05 2.2091E-06 7.0474E+02 4.2284E+04

63 -1.7388E-04 2.4652E-07 3.9236E-08 7.0534E+02 4.2320E+04

65 -1.4596E-04 3.0317E-07 4.8251E-08 4.8144E+02 2.8886E+04

67 -1.4403E-04 2.9965E-07 4.7690E-08 4.8067E+02 2.8840E+04

69 -1.5892E+00 3.7510E-03 5.9700E-04 4.2366E+02 2.5420E+04

71 -2.0331E+00 4.9157E-03 7.8236E-04 4.1360E+02 2.4816E+04

73 -1.3474E+00 3.6626E-03 5.8292E-04 3.6790E+02 2.2074E+04

75 -9.8306E-01 2.7790E-03 4.4229E-04 3.5375E+02 2.1225E+04

77 -7.0721E-01 2.4617E-03 3.9180E-04 2.8728E+02 1.7237E+04

79 -5.2474E-01 1.9361E-03 3.0813E-04 2.7104E+02 1.6262E+04

81 -1.1246E-01 4.5523E-04 7.2452E-05 2.4704E+02 1.4822E+04

83 -1.1724E-01 4.8417E-04 7.7058E-05 2.4214E+02 1.4528E+04

85 -4.5750E-01 2.4374E-03 3.8793E-04 1.8770E+02 1.1262E+04

87 -3.9964E-01 2.3120E-03 3.6796E-04 1.7286E+02 1.0371E+04

89 -3.3642E-01 3.3791E-03 5.3780E-04 9.9559E+01 5.9735E+03

91 -1.2095E-02 1.3799E-04 2.1962E-05 8.7653E+01 5.2592E+03

93 -3.0920E-01 3.4595E-03 5.5060E-04 8.9375E+01 5.3625E+03

95 -5.0900E-02 7.0668E-04 1.1247E-04 7.2027E+01 4.3216E+03

97 -7.6656E-03 1.3860E-04 2.2059E-05 5.5306E+01 3.3183E+03

99 -4.2107E-02 9.1327E-04 1.4535E-04 4.6106E+01 2.7664E+03

101 -3.3887E-01 1.2133E-02 1.9311E-03 2.7929E+01 1.6757E+03

103 -1.8640E-01 7.9434E-03 1.2642E-03 2.3466E+01 1.4080E+03

105 -5.2196E+01 5.6483E+00 6.6853E-01 9.2410E+00 5.5446E+02

107 -6.9766E+01 6.4818E+00 7.1802E-01 1.0763E+01 6.4580E+02

109 9.0143E-03 -1.6224E-03 -2.5821E-04 5.5563E+00 3.3338E+02

111 -6.2295E-03 1.2916E-03 2.0557E-04 4.8230E+00 2.8938E+02

113 6.6701E-05 -1.5160E-04 -2.4128E-05 4.3998E-01 2.6399E+01

115 -4.1395E-05 1.0603E-04 1.6876E-05 3.9040E-01 2.3424E+01




======================================================




SHAFT Horizontal & Vertical RELATIVE AMPLITUDE VS. LENGTH for Mode # --> 1

---------------------------------------------------------------------------

FREQ.= 2.3424E+01 CPM, 3.9040E-01 Hz; Damping Ratio(C/Cc)= 0.0000

ORBIT DIRECTION ------> REVERSE ; GROWTH FACTOR = -4.1395E-05

+ *

. V

.

. V

. *

+ V*

. VV

. *

. V

. V

+ V*

.

. V

.

. . . .* * *...* . . * .

+ * *

.

. H

.

. H*

+ H

. H

. *

. HH

. H*

+ *

. H

.

. H

. *

+

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02

SHAFT LENGTH ( INCHES )

V ---> VERTICAL AMPLITUDE

H ---> HORIZONTAL AMPLITUDE

* ---> COMMON POINT

. ---> SHAFT CENTER LINE




======================================================





---------------------------------------------------------------------------

FREQ.= 2.6399E+01 CPM, 4.3998E-01 Hz; Damping Ratio(C/Cc)= 0.0000

ORBIT DIRECTION ------> FORWARD ; GROWTH FACTOR = 6.6701E-05

+

.

. * . .* * *...* . . * *

.

.

+ *

.

. *

. *

. *

+ *

. *

. *

. *

. **

+ *

.

. *

.

. *

+ *

.

.

.

.

+

.

.

.

.

+

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02




* ---> COMMON POINT





======================================================





---------------------------------------------------------------------------

FREQ.= 2.8938E+02 CPM, 4.8230E+00 Hz; Damping Ratio(C/Cc)= 0.0002

ORBIT DIRECTION ------> REVERSE ; GROWTH FACTOR = -6.2295E-03

+

.

.

.

. H*

+ HH

. *

. * H

. * V

. H V

+

.

. H

.

. * H

+ . . .* * *...* . * * *

.

. V

.

.

+ V H

. * H

. * V

. *

. VVV

+ *

.

.

.

.

+

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02




* ---> COMMON POINT





======================================================





---------------------------------------------------------------------------

FREQ.= 3.3338E+02 CPM, 5.5563E+00 Hz; Damping Ratio(C/Cc)= -0.0003

ORBIT DIRECTION ------> FORWARD ; GROWTH FACTOR = 9.0143E-03

+

.

.

. ****

. *

+ *

. *

. *

. *

.

+

. *

.

.

. *

+ . . .* * *...* . * * *

.

.

.

.

+

. *

. *

.

.

+

.

.

.

.

+

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02




* ---> COMMON POINT





======================================================





---------------------------------------------------------------------------


ORBIT DIRECTION ------> FORWARD ; GROWTH FACTOR = -5.2196E+01

+

.

.

.

. * *

+ H*

. HH * V

. V

. H H

. . . .* * *.*.* . . * .

+ V *

. * *

. V

. V

. H

+ H

. H *

.

.

. V

+ V

. V

.

.

. H

+

.

. V

.

.

+

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02




* ---> COMMON POINT





======================================================





---------------------------------------------------------------------------


ORBIT DIRECTION ------> FORWARD ; GROWTH FACTOR = -6.9766E+01

+

.

.

. H

.

+

.

.

.

.

+ V

.

.

.

.

+

.

.

.

.

+

.

.

.

. * * ** * ***** . . * .

+ V * *VVV* * * *

.

.

.

.

+

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02




* ---> COMMON POINT





======================================================





---------------------------------------------------------------------------


ORBIT DIRECTION ------> FORWARD ; GROWTH FACTOR = -1.8640E-01

+

.

. H

.

. V* * H

+ *

. V * *

. H

.

. VV H

+ * . .* * ***.* . . * *

.

. VV

. H * V

. *

+ H* * V

.

. V

.

.

+

.

.

.

.

+

.

.

.

.

+

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02




* ---> COMMON POINT





======================================================





---------------------------------------------------------------------------


ORBIT DIRECTION ------> FORWARD ; GROWTH FACTOR = -3.3887E-01

+

.

.

.

. H

+ V

.

.

. H

. *

+ *

. H

. V *

. *

.

+

.

.

.

. V * *

+ * . .* * **..* . . * *

.

.

.

.

+ *

. *

. *

.

.

+ *

..+.........+.........+.........+.........+.........+.........+.........+

0.00E+00 6.51E+01 1.30E+02 1.95E+02

2.93E+01 9.45E+01 1.60E+02 2.25E+02




* ---> COMMON POINT


Execution Successfully COMPLETED on ---> 5/ 8/2008 @ 9:56:49


STIFFINESS LOADING



AXISYMETRIC ROTATING SHAFTS *** ROTORMAP *** [V5.3G1]

======================================================






........................................






NUMBER OF * MODES * (Mode Shapes) for map file ----> 8

NUMBER OF * Speeds/Cases * to be Performed -----------> 12




.............................



# (LB/IN^2) (LB/IN^2) (LB/IN^3)

-------- ------------ ------------ ------------ ------------

1 2.9000E+07 1.1500E+07 2.8300E-01 0.0000E+00




======================================================





..............................

O.D. I.D. O.D. I.D.


Element)


----- -------- ---- --- --------- ---------- ---------- ---------- ----------

-

1 1 2 1 1 1.000E+01 1.700E+00 0.000E+00 1.700E+00 0.000E+00

2 2 3 1 1 1.000E+01 1.900E+00 0.000E+00 1.900E+00 0.000E+00

3 3 4 1 1 2.500E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

4 4 5 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

5 5 6 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

6 6 7 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

7 7 8 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

8 8 9 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

9 9 10 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

10 10 11 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

11 11 12 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

12 12 13 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

13 13 14 1 1 1.250E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

14 14 15 -1 1 1.000E+00 2.000E+00 0.000E+00 1.025E+01 0.000E+00

15 15 16 1 1 2.500E-01 2.000E+00 0.000E+00 2.000E+00 0.000E+00

16 16 17 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

17 17 18 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

18 18 19 1 1 7.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

19 19 20 1 1 1.000E+00 1.000E+00 0.000E+00 1.000E+00 0.000E+00

20 20 21 1 1 1.500E+02 1.000E+00 5.000E-01 1.000E+00 5.000E-01


............................

POLAR TRANSVERSE

MOMENT OF MOMENT OF



------ ------ ------------ ------------ ------------

1 5 5.0000E+01 0.0000E+00 0.0000E+00

2 7 5.0000E+01 0.0000E+00 0.0000E+00

3 9 5.0000E+01 0.0000E+00 0.0000E+00

4 11 5.0000E+01 0.0000E+00 0.0000E+00

5 13 5.0000E+01 0.0000E+00 0.0000E+00

6 15 5.0000E+01 0.0000E+00 0.0000E+00

7 20 2.5000E+02 0.0000E+00 0.0000E+00

8 21 1.0000E+02 0.0000E+00 0.0000E+00




======================================================




THE STABILITY/CRITICAL-SPEED ANALYSIS PERFORMED WERE FOR:-


BEARING NUMBER ( 1 ); AT Node/Station NUMBER ( 1 )



1.000E+04 0.000E+00

0.000E+00 1.000E+04



0.000E+00 0.000E+00

0.000E+00 0.000E+00




1.000E+04 0.000E+00

0.000E+00 1.000E+04



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 -9.7156E-06 3.0430E-10 4.8432E-11 3.1927E+04 1.9156E+06

3 -1.0910E-07 3.4171E-12 5.4384E-13 3.1927E+04 1.9156E+06

5 -4.1540E-07 3.0912E-11 4.9198E-12 1.3438E+04 8.0629E+05

7 1.1706E-06 -1.0650E-10 -1.6950E-11 1.0991E+04 6.5949E+05

9 -2.4773E-07 2.2539E-11 3.5871E-12 1.0991E+04 6.5949E+05

11 1.6639E-07 -1.2382E-11 -1.9706E-12 1.3438E+04 8.0629E+05

13 -6.5193E-09 8.8076E-13 1.4018E-13 7.4019E+03 4.4411E+05

15 4.8429E-08 -1.6207E-11 -2.5795E-12 2.9881E+03 1.7928E+05

17 1.7229E-08 -2.3277E-12 -3.7047E-13 7.4019E+03 4.4411E+05

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23 5.4064E-08 -8.1661E-12 -1.2997E-12 6.6206E+03 3.9723E+05

25 2.2783E-08 -3.4412E-12 -5.4769E-13 6.6206E+03 3.9723E+05

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29 2.8987E-08 -4.6955E-12 -7.4732E-13 6.1734E+03 3.7041E+05

31 7.7998E-09 -5.0369E-12 -8.0164E-13 1.5486E+03 9.2913E+04

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37 6.0359E-08 -8.5069E-11 -1.3539E-11 7.0953E+02 4.2572E+04

39 -1.5637E-08 2.2039E-11 3.5076E-12 7.0953E+02 4.2572E+04

41 4.1426E-08 -8.3649E-11 -1.3313E-11 4.9523E+02 2.9714E+04

43 3.8381E-10 -7.7500E-13 -1.2335E-13 4.9523E+02 2.9714E+04

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47 9.7671E-09 -2.3939E-11 -3.8100E-12 4.0800E+02 2.4480E+04

49 2.5624E-07 -5.7704E-10 -9.1839E-11 4.4407E+02 2.6644E+04

51 5.4679E-08 -1.2313E-10 -1.9597E-11 4.4407E+02 2.6644E+04

53 -2.5901E-07 9.7036E-10 1.5444E-10 2.6693E+02 1.6016E+04

55 -2.6108E-08 9.7811E-11 1.5567E-11 2.6693E+02 1.6016E+04

57 1.9745E-07 -1.1913E-09 -1.8960E-10 1.6575E+02 9.9447E+03

59 -4.5923E-08 2.7707E-10 4.4097E-11 1.6575E+02 9.9447E+03

61 -1.4804E-07 1.6029E-09 2.5511E-10 9.2358E+01 5.5415E+03

63 1.1371E-07 -8.2017E-10 -1.3053E-10 1.3864E+02 8.3184E+03

65 -5.9517E-09 4.2929E-11 6.8324E-12 1.3864E+02 8.3184E+03

67 2.1224E-08 -2.2980E-10 -3.6574E-11 9.2358E+01 5.5415E+03

69 1.3168E-07 -5.0697E-09 -8.0686E-10 2.5973E+01 1.5584E+03

71 2.9781E-09 -1.0282E-10 -1.6364E-11 2.8966E+01 1.7380E+03

73 1.7033E-08 -6.5579E-10 -1.0437E-10 2.5973E+01 1.5584E+03

75 -2.5739E-10 8.8859E-12 1.4142E-12 2.8966E+01 1.7380E+03

77 1.2772E-09 -2.4868E-10 -3.9579E-11 5.1360E+00 3.0816E+02

79 -1.3258E-08 2.5813E-09 4.1083E-10 5.1360E+00 3.0816E+02




======================================================








2.500E+04 0.000E+00

0.000E+00 2.500E+04



0.000E+00 0.000E+00

0.000E+00 0.000E+00




2.500E+04 0.000E+00

0.000E+00 2.500E+04



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 7.2177E-07 -2.2607E-11 -3.5980E-12 3.1927E+04 1.9156E+06

3 -3.8192E-08 1.1962E-12 1.9039E-13 3.1927E+04 1.9156E+06

5 5.1395E-07 -3.8246E-11 -6.0870E-12 1.3438E+04 8.0629E+05

7 -5.8320E-08 5.3060E-12 8.4447E-13 1.0991E+04 6.5949E+05

9 1.4999E-08 -1.1162E-12 -1.7765E-13 1.3438E+04 8.0629E+05

11 2.6179E-08 -2.3817E-12 -3.7907E-13 1.0991E+04 6.5949E+05

13 -3.1669E-09 1.0598E-12 1.6868E-13 2.9881E+03 1.7928E+05

15 2.1901E-08 -2.9588E-12 -4.7091E-13 7.4019E+03 4.4411E+05

17 1.5571E-08 -2.1036E-12 -3.3480E-13 7.4019E+03 4.4411E+05

19 1.6654E-07 -2.3500E-11 -3.7401E-12 7.0870E+03 4.2522E+05

21 -7.2778E-09 1.0269E-12 1.6344E-13 7.0870E+03 4.2522E+05

23 -4.8003E-08 7.2506E-12 1.1540E-12 6.6206E+03 3.9723E+05

25 -4.0074E-08 6.0530E-12 9.6336E-13 6.6206E+03 3.9723E+05

27 3.2097E-07 -5.1992E-11 -8.2748E-12 6.1734E+03 3.7041E+05

29 -7.1086E-09 1.1515E-12 1.8326E-13 6.1734E+03 3.7041E+05

31 -1.1059E-09 7.1415E-13 1.1366E-13 1.5486E+03 9.2917E+04

33 -1.7631E-08 5.9005E-12 9.3910E-13 2.9881E+03 1.7928E+05

35 -3.4925E-10 2.2552E-13 3.5893E-14 1.5486E+03 9.2917E+04

37 2.0726E-08 -2.9210E-11 -4.6490E-12 7.0953E+02 4.2572E+04

39 1.8100E-08 -2.5510E-11 -4.0601E-12 7.0953E+02 4.2572E+04

41 -1.5631E-07 3.1165E-10 4.9601E-11 5.0155E+02 3.0093E+04

43 -6.8712E-10 1.3700E-12 2.1804E-13 5.0155E+02 3.0093E+04

45 2.9537E-07 -7.0651E-10 -1.1245E-10 4.1807E+02 2.5084E+04

47 3.1648E-08 -7.5701E-11 -1.2048E-11 4.1807E+02 2.5084E+04

49 -1.2935E-07 2.8802E-10 4.5839E-11 4.4911E+02 2.6947E+04

51 3.7732E-08 -8.4014E-11 -1.3371E-11 4.4911E+02 2.6947E+04

53 3.1700E-07 -1.1189E-09 -1.7807E-10 2.8332E+02 1.6999E+04

55 -1.7850E-07 6.3004E-10 1.0027E-10 2.8332E+02 1.6999E+04

57 -4.0651E-08 1.9730E-10 3.1401E-11 2.0604E+02 1.2362E+04

59 3.5504E-08 -1.7232E-10 -2.7425E-11 2.0604E+02 1.2362E+04

61 2.1542E-07 -1.5077E-09 -2.3995E-10 1.4289E+02 8.5732E+03

63 -9.9781E-08 6.9832E-10 1.1114E-10 1.4289E+02 8.5732E+03

65 -3.0340E-07 3.0870E-09 4.9131E-10 9.8284E+01 5.8970E+03

67 2.0227E-09 -2.0580E-11 -3.2755E-12 9.8284E+01 5.8970E+03

69 -1.6678E-10 3.6417E-12 5.7959E-13 4.5797E+01 2.7478E+03

71 3.4001E-09 -7.4242E-11 -1.1816E-11 4.5797E+01 2.7478E+03

73 9.6009E-07 -3.5673E-08 -5.6775E-09 2.6914E+01 1.6148E+03

75 -9.5035E-07 3.5311E-08 5.6199E-09 2.6914E+01 1.6148E+03

77 -1.5261E-07 2.9583E-08 4.7083E-09 5.1589E+00 3.0953E+02

79 1.4149E-07 -2.7427E-08 -4.3651E-09 5.1589E+00 3.0953E+02




======================================================








5.000E+04 0.000E+00

0.000E+00 5.000E+04



0.000E+00 0.000E+00

0.000E+00 0.000E+00




5.000E+04 0.000E+00

0.000E+00 5.000E+04



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 2.5146E-07 -7.8760E-12 -1.2535E-12 3.1927E+04 1.9156E+06

3 -4.0513E-08 1.2689E-12 2.0195E-13 3.1927E+04 1.9156E+06

5 -1.4992E-07 1.1156E-11 1.7756E-12 1.3438E+04 8.0629E+05

7 -8.4106E-08 6.2588E-12 9.9612E-13 1.3438E+04 8.0629E+05

9 6.6592E-07 -6.0586E-11 -9.6425E-12 1.0991E+04 6.5949E+05

11 2.7721E-08 -2.5221E-12 -4.0140E-13 1.0991E+04 6.5949E+05

13 1.2122E-07 -1.6377E-11 -2.6064E-12 7.4019E+03 4.4411E+05

15 1.5963E-08 -2.1565E-12 -3.4323E-13 7.4019E+03 4.4411E+05

17 -8.4841E-07 1.1971E-10 1.9053E-11 7.0870E+03 4.2522E+05

19 7.9156E-07 -1.1169E-10 -1.7776E-11 7.0870E+03 4.2522E+05

21 -1.6223E-06 2.4504E-10 3.8999E-11 6.6206E+03 3.9723E+05

23 1.1177E-06 -1.6882E-10 -2.6869E-11 6.6206E+03 3.9723E+05

25 9.8877E-07 -1.6016E-10 -2.5491E-11 6.1734E+03 3.7041E+05

27 -5.6025E-07 9.0752E-11 1.4444E-11 6.1734E+03 3.7041E+05

29 2.7240E-07 -1.7589E-10 -2.7993E-11 1.5487E+03 9.2924E+04

31 -8.1491E-08 2.7272E-11 4.3405E-12 2.9881E+03 1.7928E+05

33 5.8256E-10 -1.9496E-13 -3.1029E-14 2.9881E+03 1.7928E+05

35 -4.0018E-10 2.5839E-13 4.1124E-14 1.5487E+03 9.2924E+04

37 5.0151E-08 -7.0682E-11 -1.1249E-11 7.0953E+02 4.2572E+04

39 -5.1909E-09 7.3160E-12 1.1644E-12 7.0953E+02 4.2572E+04

41 -2.5555E-08 4.8525E-11 7.7230E-12 5.2663E+02 3.1598E+04

43 3.5060E-09 -6.6574E-12 -1.0596E-12 5.2663E+02 3.1598E+04

45 1.7706E-07 -4.1308E-10 -6.5744E-11 4.2863E+02 2.5718E+04

47 1.6396E-08 -3.8252E-11 -6.0879E-12 4.2863E+02 2.5718E+04

49 -2.1993E-07 4.7501E-10 7.5600E-11 4.6299E+02 2.7779E+04

51 -3.1328E-09 6.7665E-12 1.0769E-12 4.6299E+02 2.7779E+04

53 1.9646E-08 -6.2660E-11 -9.9726E-12 3.1353E+02 1.8812E+04

55 1.6876E-08 -5.3827E-11 -8.5668E-12 3.1353E+02 1.8812E+04

57 -3.8959E-08 1.7044E-10 2.7126E-11 2.2859E+02 1.3715E+04

59 4.9767E-08 -2.1772E-10 -3.4651E-11 2.2859E+02 1.3715E+04

61 9.6834E-07 -6.7382E-09 -1.0724E-09 1.4371E+02 8.6225E+03

63 -9.0548E-07 6.3008E-09 1.0028E-09 1.4371E+02 8.6225E+03

65 -2.2062E-07 2.2053E-09 3.5099E-10 1.0004E+02 6.0024E+03

67 4.1751E-08 -4.1734E-10 -6.6422E-11 1.0004E+02 6.0024E+03

69 -7.4579E-11 1.1515E-12 1.8327E-13 6.4766E+01 3.8860E+03

71 -1.5802E-10 2.4399E-12 3.8833E-13 6.4766E+01 3.8860E+03

73 6.0460E-08 -2.2192E-09 -3.5320E-10 2.7244E+01 1.6346E+03

75 -7.8248E-09 2.8721E-10 4.5712E-11 2.7244E+01 1.6346E+03

77 1.2002E-07 -2.3230E-08 -3.6971E-09 5.1665E+00 3.0999E+02

79 -8.3537E-08 1.6169E-08 2.5734E-09 5.1665E+00 3.0999E+02




======================================================








1.000E+05 0.000E+00

0.000E+00 1.000E+05



0.000E+00 0.000E+00

0.000E+00 0.000E+00




1.000E+05 0.000E+00

0.000E+00 1.000E+05



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 4.0065E-06 -1.2549E-10 -1.9972E-11 3.1927E+04 1.9156E+06

3 1.7753E-08 -5.5606E-13 -8.8500E-14 3.1927E+04 1.9156E+06

5 6.5020E-08 -4.8385E-12 -7.7006E-13 1.3438E+04 8.0629E+05

7 2.0233E-07 -1.5057E-11 -2.3964E-12 1.3438E+04 8.0629E+05

9 5.4413E-07 -4.9504E-11 -7.8789E-12 1.0991E+04 6.5949E+05

11 -1.5357E-07 1.3972E-11 2.2237E-12 1.0991E+04 6.5949E+05

13 1.1161E-08 -1.5079E-12 -2.3999E-13 7.4019E+03 4.4411E+05

15 -1.3575E-07 1.8341E-11 2.9190E-12 7.4019E+03 4.4411E+05

17 -1.4389E-06 2.0303E-10 3.2313E-11 7.0870E+03 4.2522E+05

19 8.1230E-07 -1.1462E-10 -1.8242E-11 7.0870E+03 4.2522E+05

21 -2.4666E-06 3.9955E-10 6.3590E-11 6.1734E+03 3.7041E+05

23 2.4709E-06 -4.0024E-10 -6.3701E-11 6.1734E+03 3.7041E+05

25 3.2001E-07 -4.8335E-11 -7.6928E-12 6.6206E+03 3.9723E+05

27 -3.4783E-07 5.2538E-11 8.3617E-12 6.6206E+03 3.9723E+05

29 1.5129E-08 -5.0633E-12 -8.0585E-13 2.9881E+03 1.7928E+05

31 1.8917E-10 -1.2213E-13 -1.9437E-14 1.5490E+03 9.2940E+04

33 3.1594E-09 -1.0573E-12 -1.6828E-13 2.9881E+03 1.7928E+05

35 -1.0241E-09 6.6113E-13 1.0522E-13 1.5490E+03 9.2940E+04

37 -1.3413E-09 1.8903E-12 3.0085E-13 7.0955E+02 4.2573E+04

39 4.0163E-09 -5.6604E-12 -9.0087E-13 7.0955E+02 4.2573E+04

41 -5.0700E-09 8.1076E-12 1.2904E-12 6.2533E+02 3.7520E+04

43 7.4942E-10 -1.1984E-12 -1.9074E-13 6.2533E+02 3.7520E+04

45 -9.9171E-08 2.0851E-10 3.3186E-11 4.7562E+02 2.8537E+04

47 -4.6189E-09 9.7114E-12 1.5456E-12 4.7562E+02 2.8537E+04

49 9.6587E-08 -2.2281E-10 -3.5461E-11 4.3350E+02 2.6010E+04

51 8.2885E-09 -1.9120E-11 -3.0430E-12 4.3350E+02 2.6010E+04

53 1.9279E-08 -5.6660E-11 -9.0177E-12 3.4027E+02 2.0416E+04

55 1.1124E-07 -3.2691E-10 -5.2029E-11 3.4027E+02 2.0416E+04

57 1.8556E-06 -7.8213E-09 -1.2448E-09 2.3725E+02 1.4235E+04

59 -1.7776E-06 7.4926E-09 1.1925E-09 2.3725E+02 1.4235E+04

61 -3.3507E-07 2.3262E-09 3.7023E-10 1.4404E+02 8.6425E+03

63 1.4871E-07 -1.0324E-09 -1.6431E-10 1.4404E+02 8.6425E+03

65 1.0639E-07 -1.0549E-09 -1.6789E-10 1.0086E+02 6.0514E+03

67 -8.0877E-08 8.0190E-10 1.2763E-10 1.0086E+02 6.0514E+03

69 1.1960E-10 -1.3058E-12 -2.0782E-13 9.1593E+01 5.4956E+03

71 -3.5448E-10 3.8701E-12 6.1595E-13 9.1593E+01 5.4956E+03

73 1.6431E-08 -5.9939E-10 -9.5396E-11 2.7412E+01 1.6447E+03

75 -5.7064E-08 2.0817E-09 3.3132E-10 2.7412E+01 1.6447E+03

77 -1.2308E-08 2.3804E-09 3.7886E-10 5.1703E+00 3.1022E+02

79 1.0953E-08 -2.1185E-09 -3.3717E-10 5.1703E+00 3.1022E+02




======================================================








2.500E+05 0.000E+00

0.000E+00 2.500E+05



0.000E+00 0.000E+00

0.000E+00 0.000E+00




2.500E+05 0.000E+00

0.000E+00 2.500E+05



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 -6.6757E-06 2.0909E-10 3.3278E-11 3.1927E+04 1.9156E+06

3 -1.6009E-07 5.0144E-12 7.9806E-13 3.1927E+04 1.9156E+06

5 -6.6504E-07 4.9489E-11 7.8764E-12 1.3438E+04 8.0629E+05

7 -5.8519E-07 5.3240E-11 8.4735E-12 1.0991E+04 6.5949E+05

9 -1.5323E-08 1.1403E-12 1.8148E-13 1.3438E+04 8.0629E+05

11 2.8780E-08 -2.6184E-12 -4.1673E-13 1.0991E+04 6.5949E+05

13 -1.7599E-06 2.3776E-10 3.7840E-11 7.4019E+03 4.4411E+05

15 0.0000E+00 0.0000E+00 0.0000E+00 2.9881E+03 1.7928E+05

17 -5.7405E-08 7.7555E-12 1.2343E-12 7.4019E+03 4.4411E+05

19 -4.8603E-07 6.8580E-11 1.0915E-11 7.0870E+03 4.2522E+05

21 -1.1975E-06 1.6897E-10 2.6893E-11 7.0870E+03 4.2522E+05

23 -2.9269E-07 4.4210E-11 7.0362E-12 6.6206E+03 3.9723E+05

25 -4.9196E-08 7.4308E-12 1.1827E-12 6.6206E+03 3.9723E+05

27 -2.8969E-07 4.6925E-11 7.4683E-12 6.1734E+03 3.7040E+05

29 -1.2542E-07 2.0315E-11 3.2333E-12 6.1734E+03 3.7041E+05

31 1.5041E-07 -9.7033E-11 -1.5443E-11 1.5501E+03 9.3005E+04

33 -1.6728E-09 5.5982E-13 8.9098E-14 2.9881E+03 1.7928E+05

35 -4.5972E-07 5.0577E-10 8.0496E-11 9.0896E+02 5.4537E+04

37 -1.2005E-09 7.7450E-13 1.2327E-13 1.5501E+03 9.3005E+04

39 6.3187E-10 -6.9516E-13 -1.1064E-13 9.0896E+02 5.4537E+04

41 -2.1998E-07 3.1004E-10 4.9344E-11 7.0951E+02 4.2570E+04

43 -5.1565E-08 7.2677E-11 1.1567E-11 7.0951E+02 4.2570E+04

45 -2.2155E-07 4.6111E-10 7.3388E-11 4.8048E+02 2.8829E+04

47 -5.6261E-09 1.1709E-11 1.8636E-12 4.8048E+02 2.8829E+04

49 4.0066E-07 -9.2022E-10 -1.4646E-10 4.3540E+02 2.6124E+04

51 -1.0253E-08 2.3548E-11 3.7478E-12 4.3540E+02 2.6124E+04

53 1.7957E-07 -5.0555E-10 -8.0460E-11 3.5520E+02 2.1312E+04

55 -7.5997E-08 2.1395E-10 3.4052E-11 3.5520E+02 2.1312E+04

57 -7.1008E-08 2.9456E-10 4.6881E-11 2.4106E+02 1.4464E+04

59 8.1357E-08 -3.3749E-10 -5.3714E-11 2.4106E+02 1.4464E+04

61 9.0404E-09 -8.9221E-11 -1.4200E-11 1.0133E+02 6.0795E+03

63 -1.2704E-08 8.8087E-11 1.4019E-11 1.4422E+02 8.6532E+03

65 3.6326E-07 -3.5851E-09 -5.7059E-10 1.0133E+02 6.0795E+03

67 1.1005E-10 -7.5989E-13 -1.2094E-13 1.4482E+02 8.6893E+03

69 -3.6159E-07 2.5072E-09 3.9903E-10 1.4422E+02 8.6532E+03

71 3.9290E-10 -2.7130E-12 -4.3179E-13 1.4482E+02 8.6893E+03

73 -8.4323E-08 3.0647E-09 4.8777E-10 2.7514E+01 1.6508E+03

75 8.5490E-08 -3.1072E-09 -4.9452E-10 2.7514E+01 1.6508E+03

77 2.4211E-07 -4.6807E-08 -7.4495E-09 5.1726E+00 3.1036E+02

81 -7.3992E-10 1.4304E-10 2.2766E-11 5.1726E+00 3.1036E+02




======================================================








5.000E+05 0.000E+00

0.000E+00 5.000E+05



0.000E+00 0.000E+00

0.000E+00 0.000E+00




5.000E+05 0.000E+00

0.000E+00 5.000E+05



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 6.0946E-06 -1.9089E-10 -3.0381E-11 3.1927E+04 1.9156E+06

3 -1.4385E-07 4.5054E-12 7.1706E-13 3.1927E+04 1.9156E+06

5 -5.1685E-07 3.8461E-11 6.1213E-12 1.3438E+04 8.0629E+05

7 -8.1636E-08 6.0750E-12 9.6686E-13 1.3438E+04 8.0629E+05

9 2.6998E-06 -2.4563E-10 -3.9093E-11 1.0991E+04 6.5949E+05

11 -4.7701E-08 4.3398E-12 6.9071E-13 1.0991E+04 6.5949E+05

13 -4.1757E-07 5.6415E-11 8.9787E-12 7.4019E+03 4.4411E+05

15 -7.7125E-10 1.0420E-13 1.6583E-14 7.4019E+03 4.4411E+05

17 7.4769E-07 -1.0550E-10 -1.6791E-11 7.0870E+03 4.2522E+05

19 8.3783E-09 -1.1822E-12 -1.8815E-13 7.0870E+03 4.2522E+05

21 -3.5368E-07 5.3422E-11 8.5024E-12 6.6206E+03 3.9723E+05

23 2.4294E-08 -3.6695E-12 -5.8402E-13 6.6206E+03 3.9723E+05

25 1.3040E-07 -2.1124E-11 -3.3619E-12 6.1734E+03 3.7041E+05

27 -1.0192E-07 1.6509E-11 2.6275E-12 6.1734E+03 3.7041E+05

29 3.4226E-08 -1.1454E-11 -1.8230E-12 2.9881E+03 1.7928E+05

31 -5.8927E-07 4.7039E-10 7.4865E-11 1.2527E+03 7.5163E+04

33 -1.5909E-09 5.3243E-13 8.4739E-14 2.9881E+03 1.7928E+05

35 -3.3721E-07 2.1693E-10 3.4526E-11 1.5545E+03 9.3268E+04

37 2.9214E-08 -1.8793E-11 -2.9911E-12 1.5545E+03 9.3268E+04

39 -1.4727E-08 1.1756E-11 1.8710E-12 1.2527E+03 7.5163E+04

41 2.4265E-07 -3.4199E-10 -5.4429E-11 7.0951E+02 4.2571E+04

43 -5.2144E-10 7.3492E-13 1.1697E-13 7.0951E+02 4.2571E+04

45 -5.4287E-07 1.1271E-09 1.7939E-10 4.8163E+02 2.8898E+04

47 -2.4366E-08 5.0591E-11 8.0518E-12 4.8163E+02 2.8898E+04

49 2.2809E-07 -5.2327E-10 -8.3281E-11 4.3589E+02 2.6153E+04

51 2.2977E-09 -5.2714E-12 -8.3896E-13 4.3589E+02 2.6153E+04

53 7.5818E-08 -2.1096E-10 -3.3576E-11 3.5939E+02 2.1563E+04

55 -7.9604E-09 2.2150E-11 3.5253E-12 3.5939E+02 2.1563E+04

57 -2.8980E-08 1.1969E-10 1.9049E-11 2.4213E+02 1.4528E+04

59 3.1353E-08 -1.2949E-10 -2.0609E-11 2.4213E+02 1.4528E+04

61 -2.3538E-09 1.1493E-11 1.8291E-12 2.0481E+02 1.2288E+04

63 2.2083E-09 -1.0782E-11 -1.7160E-12 2.0481E+02 1.2288E+04

65 4.7352E-08 -4.6662E-10 -7.4265E-11 1.0148E+02 6.0887E+03

67 -2.6708E-07 1.8512E-09 2.9462E-10 1.4428E+02 8.6567E+03

69 2.4919E-07 -1.7272E-09 -2.7489E-10 1.4428E+02 8.6567E+03

71 -3.5834E-10 3.5312E-12 5.6201E-13 1.0148E+02 6.0887E+03

73 -1.4679E-07 5.3285E-09 8.4806E-10 2.7548E+01 1.6529E+03

75 1.2908E-07 -4.6857E-09 -7.4575E-10 2.7548E+01 1.6529E+03

79 1.7526E-07 -3.3878E-08 -5.3918E-09 5.1734E+00 3.1040E+02

81 -1.2821E-07 2.4782E-08 3.9442E-09 5.1734E+00 3.1040E+02




======================================================








1.000E+06 0.000E+00

0.000E+00 1.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




1.000E+06 0.000E+00

0.000E+00 1.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 8.0168E-06 -2.5110E-10 -3.9963E-11 3.1927E+04 1.9156E+06

3 -3.7508E-07 1.1748E-11 1.8697E-12 3.1927E+04 1.9156E+06

5 -4.4490E-07 3.3108E-11 5.2692E-12 1.3438E+04 8.0629E+05

7 -1.0833E-07 8.0615E-12 1.2830E-12 1.3438E+04 8.0629E+05

9 -6.3890E-07 5.8127E-11 9.2512E-12 1.0991E+04 6.5949E+05

11 6.5047E-09 -5.9180E-13 -9.4187E-14 1.0991E+04 6.5949E+05

13 -1.0382E-06 1.4026E-10 2.2324E-11 7.4019E+03 4.4411E+05

15 3.4875E-08 -4.7116E-12 -7.4987E-13 7.4019E+03 4.4411E+05

17 6.0559E-07 -8.5451E-11 -1.3600E-11 7.0870E+03 4.2522E+05

19 -3.3368E-08 4.7083E-12 7.4935E-13 7.0870E+03 4.2522E+05

21 4.3299E-07 -6.5401E-11 -1.0409E-11 6.6206E+03 3.9723E+05

23 9.2405E-08 -1.3957E-11 -2.2214E-12 6.6206E+03 3.9723E+05

25 -4.5898E-07 7.4347E-11 1.1833E-11 6.1734E+03 3.7041E+05

27 2.8731E-07 -4.6540E-11 -7.4071E-12 6.1734E+03 3.7041E+05

29 4.3874E-09 -1.4683E-12 -2.3369E-13 2.9881E+03 1.7928E+05

31 1.1538E-08 -3.8613E-12 -6.1455E-13 2.9881E+03 1.7928E+05

33 -5.4077E-07 3.0469E-10 4.8492E-11 1.7748E+03 1.0649E+05

35 -9.1095E-09 5.1326E-12 8.1688E-13 1.7748E+03 1.0649E+05

37 -1.2327E-06 8.0291E-10 1.2779E-10 1.5353E+03 9.2116E+04

39 9.9929E-07 -6.5089E-10 -1.0359E-10 1.5353E+03 9.2116E+04

41 7.7704E-08 -1.0952E-10 -1.7430E-11 7.0952E+02 4.2571E+04

43 -2.6189E-09 3.6911E-12 5.8746E-13 7.0952E+02 4.2571E+04

45 -1.7114E-07 3.5495E-10 5.6493E-11 4.8214E+02 2.8928E+04

47 1.8645E-09 -3.8671E-12 -6.1546E-13 4.8214E+02 2.8928E+04

49 1.5118E-07 -3.4665E-10 -5.5172E-11 4.3611E+02 2.6167E+04

51 1.0921E-09 -2.5042E-12 -3.9856E-13 4.3611E+02 2.6167E+04

53 -1.2709E-07 3.5173E-10 5.5980E-11 3.6131E+02 2.1679E+04

55 7.7366E-09 -2.1412E-11 -3.4079E-12 3.6131E+02 2.1679E+04

57 5.7327E-11 -1.9792E-13 -3.1500E-14 2.8964E+02 1.7378E+04

59 2.7548E-10 -9.5110E-13 -1.5137E-13 2.8964E+02 1.7378E+04

61 -1.8280E-07 7.5341E-10 1.1991E-10 2.4263E+02 1.4558E+04

63 1.4602E-07 -6.0183E-10 -9.5784E-11 2.4263E+02 1.4558E+04

65 4.1267E-07 -2.8597E-09 -4.5513E-10 1.4431E+02 8.6583E+03

67 -3.1866E-07 3.1378E-09 4.9940E-10 1.0155E+02 6.0932E+03

69 -2.6174E-09 1.8138E-11 2.8868E-12 1.4431E+02 8.6583E+03

71 2.7576E-09 -2.7154E-11 -4.3217E-12 1.0155E+02 6.0932E+03

73 1.6326E-07 -5.9227E-09 -9.4263E-10 2.7565E+01 1.6539E+03

75 -1.5528E-07 5.6332E-09 8.9655E-10 2.7565E+01 1.6539E+03

79 -2.5838E-07 4.9940E-08 7.9482E-09 5.1738E+00 3.1043E+02

81 1.2777E-08 -2.4695E-09 -3.9304E-10 5.1738E+00 3.1043E+02




======================================================








2.000E+06 0.000E+00

0.000E+00 2.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




2.000E+06 0.000E+00

0.000E+00 2.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 3.4869E-06 -1.0921E-10 -1.7382E-11 3.1927E+04 1.9156E+06

3 7.1712E-08 -2.2461E-12 -3.5748E-13 3.1927E+04 1.9156E+06

5 1.1103E-06 -1.0102E-10 -1.6077E-11 1.0991E+04 6.5949E+05

7 -5.3959E-08 4.9091E-12 7.8131E-13 1.0991E+04 6.5949E+05

9 -1.4995E-06 1.1159E-10 1.7760E-11 1.3438E+04 8.0629E+05

11 3.1723E-09 -2.3607E-13 -3.7571E-14 1.3438E+04 8.0629E+05

13 -1.8448E-07 2.4923E-11 3.9667E-12 7.4019E+03 4.4411E+05

15 2.6361E-08 -3.5614E-12 -5.6681E-13 7.4019E+03 4.4411E+05

17 -1.8251E-05 2.5753E-09 4.0988E-10 7.0870E+03 4.2522E+05

19 1.8187E-05 -2.5662E-09 -4.0842E-10 7.0870E+03 4.2522E+05

21 2.3249E-06 -3.7660E-10 -5.9938E-11 6.1734E+03 3.7041E+05

23 -2.1565E-06 3.4933E-10 5.5597E-11 6.1734E+03 3.7041E+05

25 3.8417E-08 -5.8027E-12 -9.2352E-13 6.6206E+03 3.9723E+05

27 -2.1143E-07 3.1935E-11 5.0826E-12 6.6206E+03 3.9723E+05

29 -7.7762E-09 2.6024E-12 4.1419E-13 2.9881E+03 1.7928E+05

31 2.9586E-09 -1.1909E-12 -1.8954E-13 2.4843E+03 1.4906E+05

33 -2.8806E-08 1.8666E-11 2.9707E-12 1.5432E+03 9.2595E+04

35 -8.9367E-09 3.5973E-12 5.7252E-13 2.4843E+03 1.4906E+05

37 -4.0745E-09 1.3636E-12 2.1702E-13 2.9881E+03 1.7928E+05

39 6.0295E-09 -3.9070E-12 -6.2182E-13 1.5432E+03 9.2595E+04

41 -6.8845E-08 9.7031E-11 1.5443E-11 7.0952E+02 4.2571E+04

43 -1.0524E-09 1.4833E-12 2.3607E-13 7.0952E+02 4.2571E+04

45 -2.9969E-08 6.8701E-11 1.0934E-11 4.3622E+02 2.6173E+04

47 5.4027E-08 -1.1200E-10 -1.7826E-11 4.8238E+02 2.8943E+04

49 9.8606E-08 -2.0442E-10 -3.2534E-11 4.8238E+02 2.8943E+04

51 2.5711E-09 -5.8941E-12 -9.3808E-13 4.3622E+02 2.6173E+04

53 2.9660E-08 -8.1879E-11 -1.3031E-11 3.6224E+02 2.1734E+04

55 -3.2990E-09 9.1072E-12 1.4495E-12 3.6224E+02 2.1734E+04

57 5.4551E-07 -1.3318E-09 -2.1196E-10 4.0961E+02 2.4577E+04

59 -5.4647E-07 1.3341E-09 2.1233E-10 4.0961E+02 2.4577E+04

61 1.8441E-08 -1.2778E-10 -2.0337E-11 1.4432E+02 8.6592E+03

63 -4.1818E-07 1.7218E-09 2.7403E-10 2.4287E+02 1.4572E+04

65 4.2541E-07 -1.7516E-09 -2.7877E-10 2.4287E+02 1.4572E+04

67 6.5484E-11 -4.5374E-13 -7.2215E-14 1.4432E+02 8.6592E+03

69 -7.8053E-08 7.6830E-10 1.2228E-10 1.0159E+02 6.0955E+03

71 -4.2592E-09 4.1924E-11 6.6725E-12 1.0159E+02 6.0955E+03

73 1.6368E-08 -5.9360E-10 -9.4474E-11 2.7574E+01 1.6544E+03

75 -2.6490E-08 9.6069E-10 1.5290E-10 2.7574E+01 1.6544E+03

77 4.6454E-09 -8.9784E-10 -1.4290E-10 5.1740E+00 3.1044E+02

79 -4.9498E-09 9.5668E-10 1.5226E-10 5.1740E+00 3.1044E+02




======================================================








3.000E+06 0.000E+00

0.000E+00 3.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




3.000E+06 0.000E+00

0.000E+00 3.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 -2.5034E-06 7.8410E-11 1.2479E-11 3.1927E+04 1.9156E+06

3 1.6671E-07 -5.2215E-12 -8.3103E-13 3.1927E+04 1.9156E+06

5 2.1879E-07 -1.6282E-11 -2.5913E-12 1.3438E+04 8.0629E+05

7 -7.8842E-08 5.8671E-12 9.3377E-13 1.3438E+04 8.0629E+05

9 -7.2635E-07 6.6083E-11 1.0517E-11 1.0991E+04 6.5949E+05

11 -1.6997E-08 1.5463E-12 2.4611E-13 1.0991E+04 6.5949E+05

13 -2.0107E-07 2.7164E-11 4.3233E-12 7.4019E+03 4.4411E+05

15 2.4251E-08 -3.2763E-12 -5.2144E-13 7.4019E+03 4.4411E+05

17 2.0012E-07 -2.8237E-11 -4.4941E-12 7.0870E+03 4.2522E+05

19 -9.0222E-09 1.2731E-12 2.0261E-13 7.0870E+03 4.2522E+05

21 1.0718E-07 -1.7362E-11 -2.7633E-12 6.1734E+03 3.7041E+05

23 8.6497E-08 -1.4011E-11 -2.2299E-12 6.1734E+03 3.7041E+05

25 -7.3967E-07 1.1172E-10 1.7781E-11 6.6206E+03 3.9723E+05

27 9.0833E-08 -1.3720E-11 -2.1836E-12 6.6206E+03 3.9723E+05

29 -5.1572E-08 1.7259E-11 2.7469E-12 2.9881E+03 1.7928E+05

31 -1.8097E-07 5.9611E-11 9.4874E-12 3.0358E+03 1.8215E+05

33 5.7742E-08 -1.9020E-11 -3.0272E-12 3.0358E+03 1.8215E+05

35 -1.5549E-08 5.2036E-12 8.2818E-13 2.9881E+03 1.7928E+05

37 -1.6947E-06 1.0975E-09 1.7468E-10 1.5441E+03 9.2648E+04

39 1.6899E-06 -1.0944E-09 -1.7417E-10 1.5441E+03 9.2648E+04

41 5.6287E-08 -7.9331E-11 -1.2626E-11 7.0952E+02 4.2571E+04

43 8.5663E-09 -1.2073E-11 -1.9215E-12 7.0952E+02 4.2571E+04

45 1.7907E-07 -4.1046E-10 -6.5327E-11 4.3625E+02 2.6175E+04

47 -6.3578E-09 1.4574E-11 2.3195E-12 4.3626E+02 2.6175E+04

49 -3.4668E-08 7.1856E-11 1.1436E-11 4.8246E+02 2.8948E+04

51 1.1480E-08 -2.3795E-11 -3.7871E-12 4.8246E+02 2.8947E+04

53 -9.9629E-10 1.9859E-12 3.1607E-13 5.0167E+02 3.0100E+04

55 2.3538E-09 -4.6919E-12 -7.4673E-13 5.0167E+02 3.0100E+04

57 -3.5252E-07 9.7238E-10 1.5476E-10 3.6254E+02 2.1752E+04

59 1.7290E-07 -4.7693E-10 -7.5906E-11 3.6254E+02 2.1752E+04

61 -4.4294E-07 1.8232E-09 2.9016E-10 2.4295E+02 1.4577E+04

63 2.8841E-07 -1.1871E-09 -1.8893E-10 2.4295E+02 1.4577E+04

65 2.9603E-07 -2.0512E-09 -3.2645E-10 1.4432E+02 8.6594E+03

67 -2.2212E-07 1.5390E-09 2.4494E-10 1.4432E+02 8.6594E+03

69 -2.4276E-07 2.3892E-09 3.8026E-10 1.0160E+02 6.0962E+03

71 2.1547E-07 -2.1207E-09 -3.3752E-10 1.0160E+02 6.0962E+03

73 8.0291E-08 -2.9116E-09 -4.6339E-10 2.7576E+01 1.6546E+03

75 1.1494E-08 -4.1681E-10 -6.6337E-11 2.7576E+01 1.6546E+03

77 2.2759E-09 -4.3987E-10 -7.0008E-11 5.1740E+00 3.1044E+02

79 6.6008E-08 -1.2757E-08 -2.0304E-09 5.1740E+00 3.1044E+02




======================================================








4.000E+06 0.000E+00

0.000E+00 4.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




4.000E+06 0.000E+00

0.000E+00 4.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 4.2617E-06 -1.3348E-10 -2.1245E-11 3.1927E+04 1.9156E+06

3 3.5965E-07 -1.1265E-11 -1.7928E-12 3.1927E+04 1.9156E+06

5 7.4506E-08 -6.7785E-12 -1.0788E-12 1.0991E+04 6.5949E+05

7 -1.5087E-07 1.1227E-11 1.7869E-12 1.3438E+04 8.0629E+05

9 6.0536E-09 -4.5048E-13 -7.1696E-14 1.3438E+04 8.0629E+05

11 3.3246E-08 -3.0247E-12 -4.8139E-13 1.0991E+04 6.5949E+05

13 -1.9006E-07 5.4277E-11 8.6384E-12 3.5017E+03 2.1010E+05

15 4.1406E-07 -5.5940E-11 -8.9030E-12 7.4019E+03 4.4411E+05

17 1.3888E-08 -1.8763E-12 -2.9862E-13 7.4019E+03 4.4411E+05

19 3.4107E-07 -4.8126E-11 -7.6595E-12 7.0870E+03 4.2522E+05

21 -6.7716E-07 9.5550E-11 1.5207E-11 7.0870E+03 4.2522E+05

23 -1.9290E-07 3.1247E-11 4.9731E-12 6.1734E+03 3.7041E+05

25 -3.7579E-08 6.0873E-12 9.6882E-13 6.1734E+03 3.7041E+05

27 7.0237E-07 -1.0609E-10 -1.6885E-11 6.6206E+03 3.9723E+05

29 -4.9349E-08 7.4539E-12 1.1863E-12 6.6206E+03 3.9723E+05

31 4.8924E-08 -1.3971E-11 -2.2236E-12 3.5017E+03 2.1010E+05

33 -1.5102E-07 5.0541E-11 8.0438E-12 2.9881E+03 1.7928E+05

35 4.3547E-08 -1.4573E-11 -2.3194E-12 2.9881E+03 1.7928E+05

37 9.3814E-06 -6.0741E-09 -9.6673E-10 1.5445E+03 9.2669E+04

39 -9.3114E-06 6.0288E-09 9.5951E-10 1.5445E+03 9.2669E+04

41 1.9748E-07 -2.7833E-10 -4.4297E-11 7.0952E+02 4.2571E+04

43 4.6167E-09 -6.5068E-12 -1.0356E-12 7.0952E+02 4.2571E+04

45 1.5443E-09 -2.6659E-12 -4.2430E-13 5.7928E+02 3.4757E+04

47 -1.3425E-08 2.3175E-11 3.6884E-12 5.7928E+02 3.4757E+04

49 -3.8934E-07 8.0693E-10 1.2843E-10 4.8250E+02 2.8950E+04

51 -1.0832E-09 2.2449E-12 3.5729E-13 4.8250E+02 2.8950E+04

53 -2.7084E-07 7.4677E-10 1.1885E-10 3.6269E+02 2.1761E+04

55 1.9711E-08 -5.4346E-11 -8.6494E-12 3.6269E+02 2.1761E+04

57 4.1468E-07 -9.5050E-10 -1.5128E-10 4.3627E+02 2.6176E+04

59 4.1559E-09 -9.5260E-12 -1.5161E-12 4.3627E+02 2.6176E+04

61 -3.9459E-07 1.6239E-09 2.5845E-10 2.4299E+02 1.4580E+04

63 1.1718E-08 -4.8223E-11 -7.6750E-12 2.4299E+02 1.4580E+04

65 3.8908E-08 -2.6959E-10 -4.2906E-11 1.4433E+02 8.6596E+03

67 -6.9813E-09 4.8372E-11 7.6986E-12 1.4433E+02 8.6596E+03

69 3.3005E-07 -3.2482E-09 -5.1697E-10 1.0161E+02 6.0966E+03

71 -1.4019E-08 1.3797E-10 2.1958E-11 1.0161E+02 6.0966E+03

73 -5.6721E-07 2.0567E-08 3.2734E-09 2.7578E+01 1.6547E+03

75 6.3290E-07 -2.2950E-08 -3.6525E-09 2.7578E+01 1.6547E+03

79 -1.2362E-09 2.3892E-10 3.8025E-11 5.1741E+00 3.1044E+02

81 -8.6376E-08 1.6694E-08 2.6569E-09 5.1741E+00 3.1044E+02




======================================================








5.000E+06 0.000E+00

0.000E+00 5.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




5.000E+06 0.000E+00

0.000E+00 5.000E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 -6.1989E-06 1.9416E-10 3.0901E-11 3.1927E+04 1.9156E+06

3 3.7457E-08 -1.1732E-12 -1.8672E-13 3.1927E+04 1.9156E+06

5 1.4082E-07 -1.0479E-11 -1.6678E-12 1.3438E+04 8.0629E+05

7 -1.1831E-08 8.8038E-13 1.4012E-13 1.3438E+04 8.0629E+05

9 1.8406E-06 -1.6746E-10 -2.6651E-11 1.0991E+04 6.5949E+05

11 -1.2166E-08 1.1069E-12 1.7617E-13 1.0991E+04 6.5949E+05

13 -1.1252E-07 1.5201E-11 2.4193E-12 7.4019E+03 4.4411E+05

15 -3.6380E-10 4.9149E-14 7.8224E-15 7.4019E+03 4.4411E+05

17 -3.6578E-08 5.1613E-12 8.2145E-13 7.0870E+03 4.2522E+05

19 -8.6880E-08 1.2259E-11 1.9511E-12 7.0870E+03 4.2522E+05

21 -3.1468E-08 4.7531E-12 7.5647E-13 6.6206E+03 3.9723E+05

23 1.0977E-07 -1.6579E-11 -2.6387E-12 6.6206E+03 3.9723E+05

25 5.7781E-06 -9.3596E-10 -1.4896E-10 6.1734E+03 3.7041E+05

27 -5.8190E-06 9.4259E-10 1.5002E-10 6.1734E+03 3.7041E+05

29 -7.4506E-09 4.8234E-12 7.6767E-13 1.5447E+03 9.2680E+04

31 1.6025E-09 -4.0957E-13 -6.5186E-14 3.9127E+03 2.3476E+05

33 -8.4287E-10 2.1542E-13 3.4285E-14 3.9127E+03 2.3476E+05

35 -2.9802E-08 9.9738E-12 1.5874E-12 2.9881E+03 1.7928E+05

37 3.0218E-08 -1.0113E-11 -1.6095E-12 2.9881E+03 1.7928E+05

39 2.9395E-09 -1.9030E-12 -3.0287E-13 1.5447E+03 9.2680E+04

41 2.2082E-08 -3.1122E-11 -4.9533E-12 7.0952E+02 4.2571E+04

43 3.8194E-09 -5.3831E-12 -8.5675E-13 7.0952E+02 4.2571E+04

45 1.5576E-06 -2.4049E-09 -3.8276E-10 6.4766E+02 3.8859E+04

47 -1.5567E-06 2.4037E-09 3.8256E-10 6.4766E+02 3.8859E+04

49 1.0978E-06 -2.2752E-09 -3.6210E-10 4.8252E+02 2.8951E+04

51 -9.1725E-07 1.9010E-09 3.0255E-10 4.8252E+02 2.8951E+04

53 1.5765E-07 -3.6135E-10 -5.7510E-11 4.3628E+02 2.6177E+04

55 -1.4818E-08 3.3964E-11 5.4055E-12 4.3628E+02 2.6177E+04

57 -2.5229E-07 6.9545E-10 1.1068E-10 3.6278E+02 2.1767E+04

59 -7.1415E-08 1.9686E-10 3.1331E-11 3.6278E+02 2.1767E+04

61 -3.3324E-07 1.3713E-09 2.1824E-10 2.4302E+02 1.4581E+04

63 1.2849E-08 -5.2872E-11 -8.4149E-12 2.4302E+02 1.4581E+04

65 1.7078E-07 -1.1833E-09 -1.8833E-10 1.4433E+02 8.6597E+03

67 1.9791E-09 -1.3712E-11 -2.1824E-12 1.4433E+02 8.6597E+03

69 9.8284E-08 -9.6722E-10 -1.5394E-10 1.0161E+02 6.0968E+03

71 -2.4770E-09 2.4377E-11 3.8797E-12 1.0161E+02 6.0968E+03

73 5.5637E-07 -2.0174E-08 -3.2108E-09 2.7579E+01 1.6547E+03

75 -5.0268E-07 1.8227E-08 2.9009E-09 2.7579E+01 1.6547E+03

77 -9.1206E-08 1.7627E-08 2.8055E-09 5.1741E+00 3.1045E+02

79 1.1043E-07 -2.1342E-08 -3.3967E-09 5.1741E+00 3.1045E+02




======================================================








7.500E+06 0.000E+00

0.000E+00 7.500E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




7.500E+06 0.000E+00

0.000E+00 7.500E+06



0.000E+00 0.000E+00

0.000E+00 0.000E+00




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

1 -4.6939E-07 1.4702E-11 2.3399E-12 3.1927E+04 1.9156E+06

3 -1.2515E-08 3.9198E-13 6.2385E-14 3.1927E+04 1.9156E+06

5 -8.6983E-07 6.4728E-11 1.0302E-11 1.3438E+04 8.0629E+05

7 -2.1950E-08 1.6334E-12 2.5996E-13 1.3438E+04 8.0629E+05

9 1.3904E-06 -1.2650E-10 -2.0132E-11 1.0991E+04 6.5949E+05

11 -3.8650E-08 3.5163E-12 5.5964E-13 1.0991E+04 6.5949E+05

13 -9.4951E-09 3.1777E-12 5.0574E-13 2.9881E+03 1.7928E+05

15 -5.0920E-07 1.0635E-10 1.6925E-11 4.7882E+03 2.8729E+05

17 -1.5025E-09 3.1379E-13 4.9941E-14 4.7882E+03 2.8729E+05

19 -1.8925E-07 2.5567E-11 4.0692E-12 7.4019E+03 4.4411E+05

21 -9.8480E-08 1.3305E-11 2.1175E-12 7.4019E+03 4.4411E+05

23 8.7475E-07 -1.2343E-10 -1.9645E-11 7.0870E+03 4.2522E+05

25 -4.3281E-08 6.1071E-12 9.7198E-13 7.0870E+03 4.2522E+05

27 -1.0458E-06 1.5796E-10 2.5140E-11 6.6206E+03 3.9723E+05

29 2.2075E-07 -3.3343E-11 -5.3068E-12 6.6206E+03 3.9723E+05

31 4.2123E-07 -6.8233E-11 -1.0860E-11 6.1734E+03 3.7040E+05

33 -1.5636E-08 2.5328E-12 4.0311E-13 6.1734E+03 3.7041E+05

35 2.8378E-07 -1.8369E-10 -2.9235E-11 1.5449E+03 9.2693E+04

37 5.1260E-09 -1.7155E-12 -2.7303E-13 2.9881E+03 1.7928E+05

39 -9.1495E-10 5.9225E-13 9.4259E-14 1.5449E+03 9.2693E+04

41 3.4561E-09 -4.3571E-12 -6.9345E-13 7.9321E+02 4.7593E+04

43 3.8419E-08 -4.8435E-11 -7.7086E-12 7.9321E+02 4.7593E+04

45 4.3180E-07 -6.0859E-10 -9.6860E-11 7.0952E+02 4.2571E+04

47 -4.6905E-07 6.6108E-10 1.0521E-10 7.0952E+02 4.2571E+04

49 -6.2293E-08 1.2909E-10 2.0546E-11 4.8255E+02 2.8953E+04

51 5.5225E-09 -1.1444E-11 -1.8214E-12 4.8255E+02 2.8953E+04

53 1.3880E-07 -3.1813E-10 -5.0632E-11 4.3630E+02 2.6178E+04

55 -1.0733E-08 2.4600E-11 3.9152E-12 4.3630E+02 2.6178E+04

57 -7.1203E-08 1.9621E-10 3.1228E-11 3.6289E+02 2.1774E+04

59 1.0496E-08 -2.8924E-11 -4.6035E-12 3.6289E+02 2.1774E+04

61 5.5706E-08 -2.2920E-10 -3.6478E-11 2.4305E+02 1.4583E+04

63 -1.3322E-07 5.4814E-10 8.7239E-11 2.4305E+02 1.4583E+04

65 1.1476E-07 -7.9513E-10 -1.2655E-10 1.4433E+02 8.6598E+03

67 1.1394E-08 -7.8945E-11 -1.2565E-11 1.4433E+02 8.6598E+03

69 -3.9565E-08 3.8934E-10 6.1966E-11 1.0162E+02 6.0971E+03

71 -9.2869E-09 9.1389E-11 1.4545E-11 1.0162E+02 6.0971E+03

73 -4.4879E-07 1.6273E-08 2.5899E-09 2.7580E+01 1.6548E+03

75 4.5617E-07 -1.6540E-08 -2.6324E-09 2.7580E+01 1.6548E+03

79 -9.5240E-09 1.8407E-09 2.9296E-10 5.1741E+00 3.1045E+02

81 -4.1770E-08 8.0729E-09 1.2848E-09 5.1741E+00 3.1045E+02




======================================================




CRITICAL-SPEED MAP OUTPUT DATA

==============================

Bearing Mode # 1 Mode # 2 Mode # 3 Mode # 4 Mode # 5

Stiffness Freq.(CPM) Freq.(CPM) Freq.(CPM) Freq.(CPM) Freq.(CPM)

1.000E+04 3.0816E+02 1.5584E+03 1.7380E+03 5.5415E+03 8.3184E+03

2.500E+04 3.0953E+02 1.6148E+03 2.7478E+03 5.8970E+03 8.5732E+03

5.000E+04 3.0999E+02 1.6346E+03 3.8860E+03 6.0024E+03 8.6225E+03

1.000E+05 3.1022E+02 1.6447E+03 5.4956E+03 6.0514E+03 8.6425E+03

2.500E+05 3.1036E+02 1.6508E+03 6.0795E+03 8.6532E+03 1.4464E+04

5.000E+05 3.1040E+02 1.6529E+03 6.0887E+03 8.6567E+03 1.2288E+04

1.000E+06 3.1043E+02 1.6539E+03 6.0932E+03 8.6583E+03 1.4558E+04

2.000E+06 3.1044E+02 1.6544E+03 6.0955E+03 8.6592E+03 1.4572E+04

3.000E+06 3.1044E+02 1.6546E+03 6.0962E+03 8.6594E+03 1.4577E+04

4.000E+06 3.1044E+02 1.6547E+03 6.0966E+03 8.6596E+03 1.4580E+04

5.000E+06 3.1045E+02 1.6547E+03 6.0968E+03 8.6597E+03 1.4581E+04

7.500E+06 3.1045E+02 1.6548E+03 6.0971E+03 8.6598E+03 1.4583E+04

Bearing Mode # 6 Mode # 7 Mode # 8 Mode #

Stiffness Freq.(CPM) Freq.(CPM) Freq.(CPM) Freq.(CPM) Freq.(CPM)

1.000E+04 9.9447E+03 1.6016E+04 2.4480E+04

2.500E+04 1.2362E+04 1.6999E+04 2.5084E+04

5.000E+04 1.3715E+04 1.8812E+04 2.5718E+04

1.000E+05 1.4235E+04 2.0416E+04 2.6010E+04

2.500E+05 2.1312E+04 2.6124E+04 2.8829E+04

5.000E+05 1.4528E+04 2.1563E+04 2.6153E+04

1.000E+06 1.7378E+04 2.1679E+04 2.6167E+04

2.000E+06 2.1734E+04 2.4577E+04 2.6173E+04

3.000E+06 2.1752E+04 2.6175E+04 2.8948E+04

4.000E+06 2.1761E+04 2.6176E+04 2.8950E+04

5.000E+06 2.1767E+04 2.6177E+04 2.8951E+04

7.500E+06 2.1774E+04 2.6178E+04 2.8953E+04

Execution Successfully COMPLETED on ---> 5/ 8/2008 @ 9:57:48


STABILITY MAPPING




======================================================






........................................






NUMBER OF * MODES * (Mode Shapes) for map file ----> 8

NUMBER OF * Speeds/Cases * to be Performed -----------> 3




.............................



# (LB/IN^2) (LB/IN^2) (LB/IN^3)

-------- ------------ ------------ ------------ ------------

1 2.9000E+07 1.1500E+07 2.8300E-01 0.0000E+00




======================================================





..............................

O.D. I.D. O.D. I.D.


Element)


----- -------- ---- --- --------- ---------- ---------- ---------- ----------

-

1 1 2 1 1 1.000E+01 1.700E+00 0.000E+00 1.700E+00 0.000E+00

2 2 3 1 1 1.000E+01 1.900E+00 0.000E+00 1.900E+00 0.000E+00

3 3 4 1 1 2.500E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

4 4 5 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

5 5 6 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

6 6 7 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

7 7 8 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

8 8 9 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

9 9 10 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

10 10 11 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

11 11 12 1 1 5.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

12 12 13 -1 1 1.000E+00 2.000E+00 0.000E+00 1.000E+00 0.000E+00

13 13 14 1 1 1.250E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

14 14 15 -1 1 1.000E+00 2.000E+00 0.000E+00 1.025E+01 0.000E+00

15 15 16 1 1 2.500E-01 2.000E+00 0.000E+00 2.000E+00 0.000E+00

16 16 17 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

17 17 18 1 1 1.000E+01 1.000E+00 0.000E+00 1.000E+00 0.000E+00

18 18 19 1 1 7.000E+00 2.000E+00 0.000E+00 2.000E+00 0.000E+00

19 19 20 1 1 1.000E+00 1.000E+00 0.000E+00 1.000E+00 0.000E+00

20 20 21 1 1 1.500E+02 1.000E+00 5.000E-01 1.000E+00 5.000E-01


............................

POLAR TRANSVERSE

MOMENT OF MOMENT OF



------ ------ ------------ ------------ ------------

1 5 5.0000E+01 8.0000E+02 4.0000E+02

2 7 5.0000E+01 8.0000E+02 4.0000E+02

3 9 5.0000E+01 8.0000E+02 4.0000E+02

4 11 5.0000E+01 8.0000E+02 4.0000E+02

5 13 5.0000E+01 8.0000E+02 4.0000E+02

6 15 5.0000E+01 8.0000E+02 4.0000E+02

7 20 2.5000E+02 2.5000E+03 1.2500E+03

8 21 1.0000E+02 1.6000E+02 8.0000E+01




======================================================




THE STABILITY/CRITICAL-SPEED ANALYSIS PERFORMED WERE FOR:-





1.288E+05 5.328E+04

-3.058E+05 2.220E+05



1.587E+03 -1.216E+03

-1.249E+03 5.620E+03




3.410E+05 7.848E+04

-7.366E+05 7.160E+05



3.596E+03 -4.115E+03

-4.047E+03 1.364E+04




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

3 -1.0380E-03 3.2269E-08 5.1357E-09 3.2167E+04 1.9300E+06

5 1.0383E-03 -3.2278E-08 -5.1372E-09 3.2167E+04 1.9300E+06

7 -4.3198E-03 1.8330E-07 2.9174E-08 2.3566E+04 1.4140E+06

9 4.3197E-03 -1.8330E-07 -2.9174E-08 2.3566E+04 1.4139E+06

11 -2.9703E-02 2.6500E-06 4.2177E-07 1.1209E+04 6.7251E+05

13 -1.3084E-02 1.1674E-06 1.8579E-07 1.1209E+04 6.7251E+05

15 1.1030E-03 -1.4829E-07 -2.3600E-08 7.4383E+03 4.4630E+05

17 -1.1035E-03 1.4835E-07 2.3610E-08 7.4384E+03 4.4630E+05

19 -1.6494E-03 2.1954E-07 3.4940E-08 7.5132E+03 4.5079E+05

21 1.6495E-03 -2.1954E-07 -3.4942E-08 7.5132E+03 4.5079E+05

23 9.7086E-04 -1.3008E-07 -2.0702E-08 7.4638E+03 4.4783E+05

25 -9.7303E-04 1.3037E-07 2.0748E-08 7.4638E+03 4.4783E+05

27 2.9166E-03 -3.8925E-07 -6.1951E-08 7.4929E+03 4.4957E+05

29 -2.9190E-03 3.8956E-07 6.2001E-08 7.4929E+03 4.4957E+05

32 3.9784E-04 -9.6070E-08 -1.5290E-08 4.1412E+03 2.4847E+05

34 -3.9784E-04 9.6068E-08 1.5290E-08 4.1412E+03 2.4847E+05

36 -3.7568E-05 1.3348E-08 2.1244E-09 2.8145E+03 1.6887E+05

38 3.7902E-05 -1.3493E-08 -2.1475E-09 2.8089E+03 1.6854E+05

40 -7.1413E-01 4.3577E-04 6.9354E-05 1.6388E+03 9.8328E+04

42 -6.9232E-01 4.2262E-04 6.7263E-05 1.6382E+03 9.8289E+04

45 -4.9977E-05 5.2205E-08 8.3087E-09 9.5731E+02 5.7439E+04

47 4.9786E-05 -5.3823E-08 -8.5662E-09 9.2499E+02 5.5500E+04

49 -1.2000E-02 1.6015E-05 2.5488E-06 7.4931E+02 4.4959E+04

51 -6.6016E-03 8.8528E-06 1.4090E-06 7.4571E+02 4.4742E+04

53 -2.9290E-05 4.3164E-08 6.8698E-09 6.7857E+02 4.0714E+04

55 -1.6146E-02 2.2080E-05 3.5142E-06 7.3124E+02 4.3874E+04

57 -9.1760E-03 1.2621E-05 2.0086E-06 7.2706E+02 4.3624E+04

59 -9.6265E-03 1.3219E-05 2.1038E-06 7.2825E+02 4.3695E+04

61 -9.7429E-03 1.3825E-05 2.2003E-06 7.0474E+02 4.2284E+04

63 -1.8113E-04 2.5681E-07 4.0872E-08 7.0534E+02 4.2320E+04

65 -1.6132E-04 3.3508E-07 5.3330E-08 4.8144E+02 2.8886E+04

67 -1.2921E-04 2.6881E-07 4.2782E-08 4.8067E+02 2.8840E+04

69 -1.5892E+00 3.7510E-03 5.9699E-04 4.2366E+02 2.5420E+04

71 -2.0331E+00 4.9157E-03 7.8236E-04 4.1360E+02 2.4816E+04

73 -1.3475E+00 3.6627E-03 5.8293E-04 3.6790E+02 2.2074E+04

75 -9.8302E-01 2.7789E-03 4.4227E-04 3.5375E+02 2.1225E+04

77 -7.0725E-01 2.4619E-03 3.9182E-04 2.8728E+02 1.7237E+04

79 -5.2471E-01 1.9359E-03 3.0811E-04 2.7104E+02 1.6262E+04

81 -1.1244E-01 4.5515E-04 7.2440E-05 2.4704E+02 1.4822E+04

83 -1.1724E-01 4.8421E-04 7.7064E-05 2.4214E+02 1.4528E+04

85 -4.5751E-01 2.4375E-03 3.8794E-04 1.8770E+02 1.1262E+04

87 -3.9964E-01 2.3119E-03 3.6796E-04 1.7286E+02 1.0371E+04

89 -3.3643E-01 3.3793E-03 5.3783E-04 9.9556E+01 5.9734E+03

91 -1.2099E-02 1.3803E-04 2.1968E-05 8.7653E+01 5.2592E+03

93 -3.0925E-01 3.4602E-03 5.5071E-04 8.9372E+01 5.3623E+03

95 -5.0889E-02 7.0653E-04 1.1245E-04 7.2027E+01 4.3216E+03

97 -7.6618E-03 1.3854E-04 2.2049E-05 5.5306E+01 3.3183E+03

99 -4.2077E-02 9.1265E-04 1.4525E-04 4.6104E+01 2.7662E+03

101 -3.3925E-01 1.2155E-02 1.9346E-03 2.7910E+01 1.6746E+03

103 -1.8659E-01 7.9563E-03 1.2663E-03 2.3452E+01 1.4071E+03

105 -5.2195E+01 5.6482E+00 6.6853E-01 9.2410E+00 5.5446E+02

107 -6.9766E+01 6.4818E+00 7.1802E-01 1.0763E+01 6.4580E+02

109 8.9489E-03 -1.6269E-03 -2.5893E-04 5.5006E+00 3.3003E+02

111 -6.1380E-03 1.2885E-03 2.0507E-04 4.7637E+00 2.8582E+02

113 -2.3767E+00 9.7354E+01 9.9792E-01 2.4413E-02 1.4648E+00

115 2.3767E+00 -9.7231E+01 -9.9792E-01 2.4444E-02 1.4666E+00




======================================================








1.596E+05 1.983E+05

-5.062E+05 1.410E+05



1.014E+03 -4.122E+02

-4.094E+02 2.408E+03




3.330E+05 2.126E+05

-7.697E+05 4.157E+05



1.303E+03 -8.538E+02

-8.590E+02 3.594E+03




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

3 7.0943E-03 -2.2054E-07 -3.5101E-08 3.2167E+04 1.9300E+06

5 -7.0942E-03 2.2054E-07 3.5100E-08 3.2167E+04 1.9300E+06

7 -1.4596E-04 6.1935E-09 9.8573E-10 2.3566E+04 1.4140E+06

9 1.4603E-04 -6.1968E-09 -9.8625E-10 2.3566E+04 1.4139E+06

11 -3.1789E-02 2.8361E-06 4.5138E-07 1.1209E+04 6.7251E+05

13 -2.8210E-02 2.5168E-06 4.0056E-07 1.1209E+04 6.7251E+05

15 -7.8151E-04 1.0507E-07 1.6722E-08 7.4382E+03 4.4629E+05

17 7.7845E-04 -1.0465E-07 -1.6656E-08 7.4385E+03 4.4631E+05

19 2.4285E-03 -3.2538E-07 -5.1785E-08 7.4637E+03 4.4782E+05

21 -2.4278E-03 3.2528E-07 5.1770E-08 7.4639E+03 4.4784E+05

23 -6.7117E-04 8.9332E-08 1.4218E-08 7.5132E+03 4.5079E+05

25 6.7122E-04 -8.9340E-08 -1.4219E-08 7.5132E+03 4.5079E+05

27 3.4813E-03 -4.6461E-07 -7.3944E-08 7.4930E+03 4.4958E+05

29 -3.4870E-03 4.6538E-07 7.4067E-08 7.4928E+03 4.4957E+05

31 -1.7181E-03 4.1489E-07 6.6032E-08 4.1412E+03 2.4847E+05

33 1.7181E-03 -4.1488E-07 -6.6030E-08 4.1413E+03 2.4848E+05

35 -2.0800E-04 7.3671E-08 1.1725E-08 2.8234E+03 1.6940E+05

37 2.1172E-04 -7.5589E-08 -1.2030E-08 2.8009E+03 1.6806E+05

39 -1.1055E+00 6.7409E-04 1.0728E-04 1.6399E+03 9.8396E+04

41 -1.0644E+00 6.5012E-04 1.0347E-04 1.6373E+03 9.8236E+04

44 2.2263E-05 -2.2086E-08 -3.5151E-09 1.0080E+03 6.0481E+04

46 -1.8515E-05 2.1070E-08 3.3533E-09 8.7877E+02 5.2726E+04

48 -4.4561E-02 5.7873E-05 9.2107E-06 7.6998E+02 4.6199E+04

50 -2.0530E-02 2.6059E-05 4.1474E-06 7.8782E+02 4.7269E+04

52 2.7039E-05 -3.4480E-08 -5.4876E-09 7.8420E+02 4.7052E+04

54 -4.8821E-03 6.5547E-06 1.0432E-06 7.4482E+02 4.4689E+04

56 -1.0241E-02 1.4455E-05 2.3006E-06 7.0845E+02 4.2507E+04

58 -1.1760E-02 1.6841E-05 2.6804E-06 6.9830E+02 4.1898E+04

60 -9.0171E-03 1.3498E-05 2.1483E-06 6.6802E+02 4.0081E+04

62 -3.5130E-04 5.4992E-07 8.7523E-08 6.3881E+02 3.8329E+04

65 -2.8733E-03 5.9443E-06 9.4607E-07 4.8337E+02 2.9002E+04

67 -1.4267E+00 3.2171E-03 5.1202E-04 4.4349E+02 2.6609E+04

69 -1.4709E-05 3.0653E-08 4.8786E-09 4.7987E+02 2.8792E+04

71 -3.8272E+00 9.5002E-03 1.5120E-03 4.0285E+02 2.4171E+04

73 -2.6697E+00 6.8932E-03 1.0971E-03 3.8729E+02 2.3238E+04

75 -8.5649E-01 2.5920E-03 4.1253E-04 3.3044E+02 1.9826E+04

77 -1.7101E+00 5.4482E-03 8.6711E-04 3.1387E+02 1.8832E+04

79 -2.1463E-01 8.2599E-04 1.3146E-04 2.5985E+02 1.5591E+04

81 -3.7410E-01 1.4890E-03 2.3698E-04 2.5125E+02 1.5075E+04

83 -3.4145E-01 1.4544E-03 2.3148E-04 2.3477E+02 1.4086E+04

85 -9.1726E-01 4.3166E-03 6.8700E-04 2.1250E+02 1.2750E+04

87 -1.2820E-03 7.9009E-06 1.2575E-06 1.6225E+02 9.7353E+03

89 -5.1303E-01 3.3509E-03 5.3331E-04 1.5310E+02 9.1861E+03

91 -8.9697E-02 6.5038E-04 1.0351E-04 1.3791E+02 8.2749E+03

93 -7.0435E-01 6.5027E-03 1.0349E-03 1.0832E+02 6.4990E+03

95 -3.7467E-01 4.8693E-03 7.7497E-04 7.6945E+01 4.6167E+03

97 -8.8581E+01 2.5684E+00 3.7838E-01 3.4488E+01 2.0693E+03

99 -1.5400E+02 4.0375E+00 5.4059E-01 3.8143E+01 2.2886E+03

101 7.3329E-02 -2.2195E-03 -3.5325E-04 3.3038E+01 1.9823E+03

103 -5.8463E-02 1.7570E-03 2.7963E-04 3.3275E+01 1.9965E+03

105 -2.5260E-02 8.9512E-04 1.4246E-04 2.8219E+01 1.6932E+03

107 -8.5859E-02 5.0865E-03 8.0954E-04 1.6880E+01 1.0128E+03

109 1.4913E-02 -2.3210E-03 -3.6940E-04 6.4251E+00 3.8550E+02

111 -2.0018E-03 5.4677E-04 8.7021E-05 3.6611E+00 2.1967E+02

113 -2.2987E+00 2.3579E+01 9.6628E-01 9.7488E-02 5.8493E+00

115 2.2988E+00 -2.3574E+01 -9.6627E-01 9.7514E-02 5.8508E+00




======================================================








1.542E+05 2.324E+05

-5.925E+05 1.395E+05



7.721E+02 -2.567E+02

-2.547E+02 1.880E+03




3.573E+05 3.070E+05

-8.517E+05 3.607E+05



1.125E+03 -6.501E+02

-6.434E+02 2.675E+03




======================================================





..................................

..................................



------ ----------- ----------- ----------- ----------- -----------

3 2.8935E-02 -8.9950E-07 -1.4316E-07 3.2167E+04 1.9300E+06

5 -2.8935E-02 8.9950E-07 1.4316E-07 3.2167E+04 1.9300E+06

7 -8.7563E-06 3.7156E-10 5.9135E-11 2.3566E+04 1.4140E+06

9 8.6945E-06 -3.6895E-10 -5.8720E-11 2.3565E+04 1.4139E+06

11 -2.7976E-02 2.4960E-06 3.9725E-07 1.1209E+04 6.7251E+05

13 -4.0014E-02 3.5700E-06 5.6818E-07 1.1208E+04 6.7251E+05

15 -3.6296E-04 4.8798E-08 7.7664E-09 7.4381E+03 4.4629E+05

17 3.5998E-04 -4.8393E-08 -7.7020E-09 7.4386E+03 4.4632E+05

19 2.7143E-03 -3.6368E-07 -5.7881E-08 7.4636E+03 4.4782E+05

21 -2.7147E-03 3.6370E-07 5.7885E-08 7.4640E+03 4.4784E+05

23 -9.0276E-04 1.2016E-07 1.9123E-08 7.5132E+03 4.5079E+05

25 9.0331E-04 -1.2023E-07 -1.9135E-08 7.5132E+03 4.5079E+05

27 -1.1079E-03 1.4786E-07 2.3532E-08 7.4928E+03 4.4957E+05

29 1.1014E-03 -1.4699E-07 -2.3393E-08 7.4930E+03 4.4958E+05

31 -7.1028E-05 1.7152E-08 2.7298E-09 4.1412E+03 2.4847E+05

33 7.1032E-05 -1.7152E-08 -2.7298E-09 4.1413E+03 2.4848E+05

35 -8.1837E-06 2.8921E-09 4.6030E-10 2.8296E+03 1.6978E+05

37 9.0681E-06 -3.2434E-09 -5.1620E-10 2.7959E+03 1.6775E+05

39 -1.4105E+00 8.5967E-04 1.3682E-04 1.6408E+03 9.8447E+04

41 -1.3372E+00 8.1702E-04 1.3003E-04 1.6367E+03 9.8205E+04

44 1.2690E-05 -1.2163E-08 -1.9358E-09 1.0433E+03 6.2598E+04

46 -1.0569E-05 1.2441E-08 1.9801E-09 8.4947E+02 5.0968E+04

48 -5.9749E-02 7.5023E-05 1.1940E-05 7.9640E+02 4.7784E+04

50 -1.3816E-02 1.6911E-05 2.6914E-06 8.1698E+02 4.9019E+04

52 -1.4521E-02 1.7772E-05 2.8284E-06 8.1709E+02 4.9025E+04

54 -1.5276E-02 1.9814E-05 3.1534E-06 7.7098E+02 4.6259E+04

56 -9.3889E-03 1.3451E-05 2.1408E-06 6.9802E+02 4.1881E+04

58 -1.1681E-02 1.7133E-05 2.7268E-06 6.8178E+02 4.0907E+04

60 -8.3789E-03 1.2971E-05 2.0645E-06 6.4595E+02 3.8757E+04

62 -7.5076E-04 1.2242E-06 1.9484E-07 6.1324E+02 3.6795E+04

65 -1.9420E-02 3.9954E-05 6.3588E-06 4.8605E+02 2.9163E+04

67 -1.1519E+00 2.5109E-03 3.9963E-04 4.5877E+02 2.7526E+04

69 -8.4490E-06 1.7621E-08 2.8045E-09 4.7947E+02 2.8768E+04

71 -3.2763E+00 8.1776E-03 1.3015E-03 4.0064E+02 2.4038E+04

73 -5.1821E+00 1.3025E-02 2.0730E-03 3.9784E+02 2.3871E+04

75 -2.9687E+00 8.9498E-03 1.4244E-03 3.3171E+02 1.9903E+04

77 -7.4395E-01 2.3674E-03 3.7678E-04 3.1425E+02 1.8855E+04

79 -2.5480E-01 9.1456E-04 1.4556E-04 2.7860E+02 1.6716E+04

81 -1.4267E-01 5.8482E-04 9.3077E-05 2.4396E+02 1.4638E+04

83 -1.4943E+00 6.4619E-03 1.0284E-03 2.3125E+02 1.3875E+04

85 -6.1468E-03 2.7815E-05 4.4269E-06 2.2099E+02 1.3259E+04

87 -6.0452E-01 2.6728E-03 4.2539E-04 2.2618E+02 1.3571E+04

89 -1.0253E-01 5.9147E-04 9.4136E-05 1.7335E+02 1.0401E+04

91 -5.8232E-01 4.1107E-03 6.5424E-04 1.4166E+02 8.4996E+03

93 -1.1252E+00 9.4748E-03 1.5080E-03 1.1876E+02 7.1256E+03

95 -4.0652E-01 5.8142E-03 9.2536E-04 6.9918E+01 4.1951E+03

97 -1.1049E+02 2.1547E+00 3.2439E-01 5.1279E+01 3.0767E+03

99 -1.7102E+02 2.9496E+00 4.2495E-01 5.7979E+01 3.4787E+03

101 5.2357E-01 -1.4500E-02 -2.3077E-03 3.6109E+01 2.1666E+03

103 -8.9578E-02 3.1562E-03 5.0233E-04 2.8381E+01 1.7029E+03

105 -1.0508E-02 4.9488E-04 7.8763E-05 2.1234E+01 1.2740E+03

107 -6.3513E-02 4.4658E-03 7.1075E-04 1.4222E+01 8.5333E+02

109 1.5844E-02 -2.2977E-03 -3.6570E-04 6.8955E+00 4.1373E+02

111 -1.0448E-03 3.4251E-04 5.4513E-05 3.0505E+00 1.8303E+02

113 -2.1916E+00 1.5031E+01 9.2264E-01 1.4581E-01 8.7484E+00

115 2.1918E+00 -1.5029E+01 -9.2262E-01 1.4583E-01 8.7500E+00




======================================================




>>> STABILITY-MAP OUTPUT DATA <<<

Freq. = Frequency (Cpm)

P = Precession ( orbit direction)

C/Cc = Critical Damping Ratio (+ Stable, - Unstable)

LogDec= Logarithmic Decriment (+ Stable, - Unstable)

=====================================================

Speed-RPM Kyy Mode Number ---> 1 Mode Number ---> 2

Stiffness Freq.(CPM) P C/Cc LogDec Freq.(CPM) P C/Cc LogDec

1.000E+03 2.220E+05 1.4648E+00 F 1.00 97.35 1.4666E+00 F -1.00 -97.23

4.000E+03 1.410E+05 5.8493E+00 F 0.97 23.58 2.1967E+02 R 0.00 0.00

6.000E+03 1.395E+05 8.7484E+00 F 0.92 15.03 1.8303E+02 R 0.00 0.00



1.000E+03 2.220E+05 2.8582E+02 R 0.00 0.00 3.3003E+02 F 0.00 0.00

4.000E+03 1.410E+05 3.8550E+02 F 0.00 0.00 1.0128E+03 ? 0.00 0.01

6.000E+03 1.395E+05 4.1373E+02 F 0.00 0.00 8.5333E+02 R 0.00 0.00



1.000E+03 2.220E+05 5.5446E+02 F 0.67 5.65 6.4580E+02 F 0.72 6.48

4.000E+03 1.410E+05 1.6932E+03 F 0.00 0.00 1.9823E+03 F 0.00 0.00

6.000E+03 1.395E+05 1.2740E+03 R 0.00 0.00 1.7029E+03 F 0.00 0.00



1.000E+03 2.220E+05 1.4071E+03 F 0.00 0.01 1.6746E+03 F 0.00 0.01

4.000E+03 1.410E+05 1.9965E+03 ? 0.00 0.00 2.0693E+03 F 0.38 2.57

6.000E+03 1.395E+05 2.1666E+03 F 0.00 -0.01 3.0767E+03 F 0.32 2.15

Execution Successfully COMPLETED on ---> 5/ 8/2008 @ 9:59: 1


PLOT 1

DEFLECTION CALCULATION

STABILITY MAPPING PLOT

MODE SHAPE

Executive Summary ODS FRF AND ROTORDYNAMIC APPROACH

Documents

Transcript of Executive Summary ODS FRF AND ROTORDYNAMIC APPROACH