Vibration Assessment Part 2 - INDICO-FNAL (Indico)...^ASTM D4169 Truck Profile Update Rationale,...
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Vibration Assessment _ 2 Ang Lee May 19, 2020 5/19/2020 1
Transcript of Vibration Assessment Part 2 - INDICO-FNAL (Indico)...^ASTM D4169 Truck Profile Update Rationale,...
Vibration Assessment _ 2Ang Lee
May 19, 2020
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Next step
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Insert WRI M16-350-08
Assumed here is fixed boundary condition with PSD curve applied hereBasically, it is assumed the shipping frame is “very rigid”, whatever the road disturbance will be directly transmitted to the WRI.
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Information provided by Daniel Wenman (PSL)
Load step _ Static load
The vibration assessment Part 2
• The APA frame as shown in the previous slide with 2 locations supported. Each location has 3 WRI with total of 6.
• The WRI (M16-350-08) is modeled 3 springs as Kx,Ky (shear/roll) and Kz (normal).
Normal Shear/roll
Kv_Z Ks_Z Kv_X/Y Ks_X/YDamp critical
dumping
lbf/in lbs/in lbf/in lbs/in C/Cc Mass of WRI
2357 1496 719 818 0.15-0.2 1.69 kg
N/mm N/mm N/mm N/mm
412.7743 261.99 125.9163 143.2539
N/m N/m N/m N/m Cc C_dumping
412774.3 261990 125916.3 143253.9 1670.435 250.5653148 N*s/m
roll/shear
984.0713 147.6106909 N*s/m
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WRI data for M16-350-08
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PSD Curve for the Air Ride Truck (credit to Giuseppe Gallo)
Figure 9 – (Left) PSD of empty air ride trailer for each speed interval; (Right) PSD of loaded (21,000 kg) air
ride trailer for each speed interval. “Design Report for the DUNE APA shipping frames _ dynamic section”5/19/2020 6
The vibration assessment Part 2
• The model is run as 3 steps:
• a) Static as prestress.
• b) Follow by Modal analysis.
• c) Follow by Random Vibration with PSD for Truck with air suspension.
1.00E-09
1.00E-08
1.00E-07
1.00E-06
1.00E-05
1.00E-04
1.00E-03
1.00E-02
1.00E-01
1.00E+00
0.1 1 10 100
G^2
/HZ
Frequency (HZ)
PSD Curve fitting for ANSYS
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Static solution _ step 1 _ Deflection Y (mm)
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Static solution _ step 1_ Deflection Y (mm)
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Static solution _ step 1_
stress (MPa)
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Static solution _ step 1_ Stress (MPa)
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Smax < ~38 MPa
Static Solution _ Step 1_ Stress (MPa)_iso cap plot
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The area where the stress is less than < ~38 MPa.
The area where the stress is > ~38 MPa (1 %)
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Load step 2: Modal AnalysisFirst several mode shape is mostly from WRI (suspension system)_ low frequency4-6 Hz
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31 90.525
32 91.973
33 96.988
34 98.175
35 105.49
36 109.41
37 123.39
38 124.5
39 130.45
40 135.29
41 143.98
42 147.5
43 151.61
44 152.43
45 160.18
46 162.11
47 163.25
48 169.94
49 172.3
50 174.49
51 178.79
52 184.96
53 185.76
54 190.34
55 193.28
56 196.91
57 199.73
58 203.97
59 206.23
60 210.02
61 213.23
62 215.74
63 221.21
64 226.27
65 227.72
66 232.83
67 234.11
68 239.1
69 241.19
70 243.4
71 246.32
72 250.05
73 251.2
74 254.78
75 255.02
76 257.24
77 260.49
78 264.55
79 267.93
80 268.99
81 274.7
82 277.99
83 280.7
84 284.54
85 291.48
86 292.88
87 293.79
88 297.57
89 298.29
90 302.37
91 307.71
92 311.04
93 315.16
94 316.57
95 322.64
96 324.31
97 328.48
98 332.67
99 338.94
100 343.05
Mode Fre (Hz)
1 4.0155
2 5.0209
3 5.995
4 7.1365
5 9.345
6 10.394
7 12.579
8 16.318
9 19.875
10 21.558
11 23
12 27.693
13 36.009
14 36.841
15 39.056
16 39.821
17 44.157
18 45.23
19 50.088
20 56.725
21 58.138
22 61.423
23 62.524
24 65.661
25 66.386
26 71.819
27 73.766
28 76.943
29 88.15
30 89.47
Mode 10 _ 21.5 Hz
Mode 9 _ 19.87 Hz
Modal Analysis runs up to 100 mode
3rd load step _ Random Vibration
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1.00E-09
1.00E-08
1.00E-07
1.00E-06
1.00E-05
1.00E-04
1.00E-03
1.00E-02
1.00E-01
1.00E+00
0.1 1 10 100
G^2
/HZ
Frequency (HZ)
PSD Curve fitting for ANSYS
The model is run as 3 steps:a) Static as prestress.b) Follow by Modal analysis.c) Follow by Random Vibration with PSD for Truck with air suspension.
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The Stress (MPa) of APA frame due to the PSD curve.
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Static + Random Vibration
The Stress (MPa) due to the Static + Random vibration (PSD) The combination stress is around 45 MPa.
SS 304 MaterialSyield=205 MPa minimumSu=515 MPa mininimum
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Iso cap stress plot for the stress due to the static + random vibration.
The area where the stress is below <~45 MPa
The area where the stress is above ~45 MPa
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The Stress (MPa) of due to the Static + Random vibration (PSD) combination
SS 304 MaterialSyield=205 MPa minimumSu=515 MPa mininimum
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The Stress (MPa) due to the Static + Random vibration (PSD) combination
for the steel section (S355)
S355 has yield stress of 355 MPa
Appendix A
• Change the PSD curve from Air Ride to regular truck PSD based on “ASTM D4169 Truck Profile Update Rationale, Revision Date Sept 22,2016”.
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Stress due to the Random Vibration
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PSD without Air ride (ASTM D4169)
PSD with Air Ride
Stress due to combination of the static + random vibration
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PSD without Air ride (ASTM D4169)
PSD with Air Ride
Stress due to combination of the static load and random vibration
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PSD without Air ride (ASTM D4169)
PSD with Air Ride
SS 304 MaterialSyield=205 MPa minimumSu=515 MPa minimum
Stress due to combination of the static load and random vibration
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PSD without Air ride (ASTM D4169)
PSD with Air Ride
SS 304 MaterialSyield=205 MPa minimumSu=515 MPa minimum
Stress due to combination of the static load and random vibration
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PSD without Air ride (ASTM D4169)
PSD with Air Ride
M16 Steel Bolt
Stress due to combination of the static load and random vibration
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PSD without Air ride (ASTM D4169)
PSD with Air Ride
S355 attachment plate
Stress due to combination of the static load and random vibration
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PSD without Air ride (ASTM D4169)
PSD with Air Ride
S355 tubing
Conclusion/Comments
1) The result indicates that that the stress difference is about 40%~50% between AIR Ride and without AIR ride for the combination of the static and random vibration. For the dynamics response only, the difference will be even high due to the offset of static load.
2) The comparison of PSD curve shows that there are several magnitude difference between Air Ride and without Air Ride. It seems very effectively to reduce G^2/Hz around the frequency range of 10-70 Hz where mostly APA and its lifting frame is oscillated at its natural frequency.
3) Therefore, truck air ride is highly recommended to reduce the stress and any other complication (wire tension loosening or …)
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1.00E-08
1.00E-07
1.00E-06
1.00E-05
1.00E-04
1.00E-03
1.00E-02
1.00E-01
1.00E+00
0.01 0.1 1 10 100
G^2
/Hz
Frequency (Hz)
PSD Curve
ASTM truck profile without Air Ride AIR ride PSD
