Windows 7 printed document.pdf

8/10/2019 Windows 7 printed document.pdf

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EOL Offshore - Computation report

1 Datas1.0 Filenames1.1 Environment

1.1.1 General parameters1.1.2 Site Data1.1.3 Data fatigue1.1.3.1 Sea Conditions1.1.3.2 Wind conditions1.1.4 Data ultimate limit state

1.2 Support structure1.2.1 Scantling1.2.2 Structure shape1.2.3 Damping

1.3 Turbine2 Parameters

2.1 Computation params2.2 Costs params2.3 Optimisation Costs Values2.4 Alternative Costs params2.5 Alternative Costs Values

2.6 Material Database3 Computation results

3.1 Resonance modes and frequencies3.1.1 Resonance frequencies3.1.2 Resonance modes3.1.3 Campbell diagram

3.2 Results of fatigue computation3.2.1 ButtWeld between ringshells3.2.2 ButtWeld between segments

3.3 Results of ultimate strength limit3.3.1 Load cases3.3.2 Internal loads3.3.3 Stresses in shells

4 Optimisation4.1 Optimisation parameters

4.1.1 Generals4.1.2 Catalogues of variables

4.1.3 Equality restrictions4.2 Optimization results

4.2.1 General characteristics of the support structure4.2.2 Optimization graphs4.2.3 Optimised scantling4.2.3.1 Segments characteristics4.2.3.2 Ring characteristics4.2.4 Scantling comparison4.2.5 Computation results of the optimal scantling4.2.5.2 Campbell diagram4.2.5.3 Results of fatigue computation4.2.5.4 Results of ultimate limit state computation4.2.5.5 Restraints

5 Somes Variables5.1 RingShells Variables5.2 Segments Variables

1 Datas

1.0 Filenames

1.1 Environment

XML File Environment null

XML File EOL Saves\OPTIMISEDEOLTMP\EOL_299.XML

XML File Optimiser null

XML File Project \\psf\Home\Documents\EOLRelease\saves\Projects\almir_1.xml.gz

Page 1 of 32EOL OS Report

10/31/2014file://\\psf\Home\Documents\EOLRelease\Rapports\index.html


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. . enera parame ers

No postprocessor used

1.1.2 Site Data

1.1.3 Data fatigue

Data related to fatigue analysis are divided in two categories. Sea conditionsrefers to the list of sea states (or scatter diagram) considered for thefatigue analysis. Wind conditionsgives the variation of tower top loads and the associated number of loading cycle.

1.1.3.1 Sea Conditions

1.1.3.2 Wind conditions

1.1.4 Data ultimate limit state

1.2 Support structure

1.2.1 Scantling

The characteristics of the support structure of the monopile offshore wind turbine are summarized in the following tables.

1.2.1.1 Ring shell characteristics

Parameter Value Unit

Gravity acceleration9.8100004196167 m/s2

Sea water density 1025.0 kg/m3


Distance between clamping point and Mean Still Water level 32.0 m

Water depth 28.65 m

Sea state Significant wave height HS (m) Mean zero up-crossing period TZ (s) Probability of the sea state (%)

0 0.7 5.8 20.0

1 1.6 12.0 6.0

Wind load spectrum Number of loading cycles Fx (kN) My (kNm)

0 4.1E8 9.8 255.0

1 6.53E7 38.9 417.0

2 2760000.0 24.4 560.0

Weight : 674428 Kg

Cost : 841544 ur

id Vir Z Bottom Z Top Height Tickness Diameter Inf. Diameter Sup. Material

0 0.000 3.350 3.350 0.07000 4.000 3.800 S235 JR

1 3.350 6.700 3.350 0.07000 3.800 3.800 S235 JR

2 6.700 10.05 3.350 0.07000 3.800 3.800 S235 JR

3 10.05 13.40 3.350 0.07000 3.800 3.800 S235 JR

4 13.40 16.75 3.350 0.07000 3.800 3.800 S235 JR

5 16.75 20.10 3.350 0.07000 3.800 3.800 S235 JR

6 20.10 23.45 3.350 0.07000 3.800 3.800 S235 JR

7 23.45 26.80 3.350 0.07000 3.800 3.800 S235 JR

8 26.80 30.15 3.350 0.07000 3.800 3.800 S235 JR

9 30.15 33.50 3.350 0.07000 3.800 3.800 S235 JR

10 33.50 36.85 3.350 0.07000 3.800 3.800 S235 JR

11 36.85 40.20 3.350 0.07000 3.800 3.800 S235 JR

12 40.20 43.55 3.350 0.07000 3.800 3.800 S235 JR

13 43.55 46.90 3.350 0.07000 3.800 3.500 S235 JR

14 46.90 50.25 3.350 0.07000 3.500 3.500 S235 JR

15 50.25 53.60 3.350 0.07000 3.500 3.500 S235 JR

16 53.60 56.95 3.350 0.07000 3.500 3.500 S235 JR

17 56.95 60.30 3.350 0.07000 3.500 3.500 S235 JR

18 60.30 63.65 3.350 0.07000 3.500 3.500 S235 JR




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1.2.1.2 Segments characteristics

1.2.1.2 Ring characteristics

No rings

1.2.1.3 Drawing of the structure support

19 63.65 67.00 3.350 0.07000 3.500 3.500 S235 JR

20 67.00 70.35 3.350 0.07000 3.500 3.500 S235 JR

21 70.35 73.70 3.350 0.07000 3.500 3.500 S235 JR

22 73.70 77.05 3.350 0.07000 3.500 3.200 S235 JR

23 77.05 80.40 3.350 0.07000 3.200 3.200 S235 JR

24 80.40 83.75 3.350 0.07000 3.200 3.200 S235 JR

25 83.75 87.10 3.350 0.07000 3.200 3.200 S235 JR

26 87.10 90.45 3.350 0.07000 3.200 3.200 S235 JR

27 90.45 93.80 3.350 0.07000 3.200 3.200 S235 JR28 93.80 97.15 3.350 0.07000 3.200 3.200 S235 JR

29 97.15 100.5 3.350 0.07000 3.200 3.200 S235 JR

30 100.5 103.8 3.350 0.07000 3.200 3.000 S235 JR

31 103.8 107.2 3.350 0.07000 3.000 3.000 S235 JR

32 107.2 110.5 3.350 0.07000 3.000 3.000 S235 JR

33 110.5 113.9 3.350 0.07000 3.000 3.000 S235 JR

SegId

Zbottom Ztop Height TypeLongi stiff

profileNbr longi

stiffFatigue Weight

0 0.0 43.55000000000001 43.55000000000001 UNSTIFF IPN 80* 0.0 160.0 281001.912

1 43.55000000000001 73.70000000000002 30.150000000000006 UNSTIFF IPN 80* 0.0 160.0 179392.454

2 73.7 100.5 26.800000000000004 UNSTIFF IPN 80* 0.0 160.0 145676.8513 100.49999999999996 113.89999999999996 13.4 UNSTIFF IPN 80* 0.0 160.0 68356.506




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1.2.2 Structure shape

The assessment of hydrodynamic and aerodynamic loads applied on the structure is based on the following parameters:

1.2.3 Damping

The effect of damping on the offshore structure dynamics is based on the value of the logarithmic decrement (delta) in the first mode of the windturbine support structure. The following parameters were considered in this analysis:

1.3 Turbine

The characteristics of the wind turbine are summarized in the table below.

2 Parameters

2.1 Computation params

2.2 Costs params

Parameter Value

Hydrodynamic inertia coefficient Cm 2.0

Hydrodynamic drag coefficient Cd_hydro 1.0Aerodynamic drag coefficient Cd_aero 0.6000000238418579

Source of damping Logarithmic decrement (delta) in the first mode of the support structure

Aerodynamic damping induced by rotor 0.01

Structural damping 0.012


Hub height 115.0 m

Rotor diameter118.0 m

Number of blades 3.0 -

Tower top mass (nacelle + rotor + wind turbine and equipments) 190.0 t

Minimum rotor speed 4.0 1/min

Maximum rotor speed 14.2 1/min

Rated rotor speed 12.21/min

Technical design life time 20.0 year

Label Value

Rule DNV

Gamma FF 1.25

Gamma MF 1.15

DFAT Truncaturefalse

Label Value Description

ThetaF_Envir 3.0 Couts envirolages

kF 1.0 Couts generaux

ThetaW_Longi 2.0 Soudage longitudinale virolle

C2_Longi 1.033E-4 Soudage longitudinale virolle

n_Longi 1.904 Soudage longitudinale virolle

ThetaW_Circonf 2.0 Soudage circonferentiel entre deux virolles

C2_Circonf1.033E-4 Soudage circonferentiel entre deux virolles

n_Circonf 1.904Soudage circonferentiel entre deux virolles

ThetaC_Ring 3.0 Decoupe des anneaux

CC_Ring 8.529E-4 Decoupe des anneaux

nc_Ring 0.3643 Decoupe des anneaux

ThetaW_Ring 2.0 Soudage des anneaux sur la virolle

C2W_Ring2.349E-4 Soudage des anneaux sur la virolle

nw_Ring 2.0 Soudage des anneaux sur la virolle




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2.3 Optimisation Costs Values

There is no rings to have the costs

2.4 Alternative Costs params

_ .

CC_Stiff8.529E-4 Dcoupe des raidisseur longi (stiff)

nc_Stiff 0.3643 Dcoupe des raidisseur longi (stiff)

ThetaW_Stiff 2.0 Soudage raidisseur longi sur la virolle

C2W_stiff2.349E-4 Soudage raidisseur longi sur la virolle

nw_stiff 2.0 Soudage raidisseur longi sur la virolle

kpe 2.9E-5 Peinture

kpi 1.5E-5 Peinture

#SegmentsKF0-Rolling

cost

KF1-Longitudinal

ringshell welding

KF2-Circumferentialringshell welding

KF3-Ringstiffenerscutting

KF4-Ringstiffenerswelding

KF5-Longitudinal

stiffeners cutting

KF6-Longitudinal

stiffenerswelding

KFP-Paintingcost

0 38929.3426 22882.1360 67681.6038 0.0000 0.0000 0.0000 0.0000 22635.4827

1 26339.5383 15737.3387 41687.4275 0.0000 0.0000 0.0000 0.0000 14458.9509

2 22846.2699 13889.0626 33465.2874 0.0000 0.0000 0.0000 0.0000 11748.7953

3 11235.6937 6910.7143 13481.4572 0.0000 0.0000 0.0000 0.0000 5515.3813

#RingShellKF0-Rolling

costKF1-Longitudinalringshell welding

KF2-Circumferentialringshell welding

KF5-Longitudinalstiffeners cutting

KF6-Longitudinalstiffeners welding

KFP-Paintingcost

0 3015.8888 1764.3777 0.0000 0.0000 0.0000 1784.6694

1 2992.7878 1759.8132 5642.6774 0.0000 0.0000 1737.56782 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

3 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

4 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

5 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

6 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

7 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

8 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

9 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

10 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

11 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

12 2992.7878 1759.8132 5639.9024 0.0000 0.0000 1737.5678

13 2957.8989 1755.3152 0.0000 0.0000 0.0000 1669.7785

14 2922.7049 1747.7529 5214.7187 0.0000 0.0000 1598.6465

15 2922.7049 1747.7529 5210.3870 0.0000 0.0000 1598.646516 2922.7049 1747.7529 5210.3870 0.0000 0.0000 1598.6465

17 2922.7049 1747.7529 5210.3870 0.0000 0.0000 1598.6465

18 2922.7049 1747.7529 5210.3870 0.0000 0.0000 1598.6465

19 2922.7049 1747.7529 5210.3870 0.0000 0.0000 1598.6465

20 2922.7049 1747.7529 5210.3870 0.0000 0.0000 1598.6465

21 2922.7049 1747.7529 5210.3870 0.0000 0.0000 1598.6465

22 2887.1807 1742.9938 0.0000 0.0000 0.0000 1530.7181

23 2851.2985 1735.1527 4784.6401 0.0000 0.0000 1459.7253

24 2851.2985 1735.1527 4780.1079 0.0000 0.0000 1459.7253

25 2851.2985 1735.1527 4780.1079 0.0000 0.0000 1459.7253

26 2851.2985 1735.1527 4780.1079 0.0000 0.0000 1459.7253

27 2851.2985 1735.1527 4780.1079 0.0000 0.0000 1459.7253

28 2851.2985 1735.1527 4780.1079 0.0000 0.0000 1459.7253

29 2851.2985 1735.1527 4780.1079 0.0000 0.0000 1459.7253

30 2827.1627 1731.4724 0.0000 0.0000 0.0000 1414.0478

31 2802.8437 1726.4139 4495.9045 0.0000 0.0000 1367.1112

32 2802.8437 1726.4139 4492.7763 0.0000 0.0000 1367.1112

33 2802.8437 1726.4139 4492.7763 0.0000 0.0000 1367.1112

Label Value Unit

DepositionRate 25.0 kg/h




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2.5 Alternative Costs Values

2.6 Material Database

Electricity Cost 0.25 /kWh

Electricity Current 500.0 A

Electricity Efficiency 90.0 %

Electricity Voltage 32.0 V

Labour cost 40.0 /h

O2 5.0 /m

C2H2 8.0 /m

#Segment #RingShell Preparation Longt. Preparation Circum. Weld Longt. Weld Circum.

0 0 49.3656 185.1780 4141.7449 7768.1643

0 1 49.3656 351.8383 4141.7449 14759.5122

0 2 49.3656 351.8383 4141.7449 14759.5122

0 3 49.3656 351.8383 4141.7449 14759.5122

0 4 49.3656 351.8383 4141.7449 14759.5122

0 5 49.3656 351.8383 4141.7449 14759.5122

0 6 49.3656 351.8383 4141.7449 14759.5122

0 7 49.3656 351.8383 4141.7449 14759.5122

0 8 49.3656 351.8383 4141.7449 14759.5122

0 9 49.3656 351.8383 4141.7449 14759.5122

0 10 49.3656 351.8383 4141.7449 14759.5122

0 11 49.3656 351.8383 4141.7449 14759.51220 12 49.3656 351.8383 4141.7449 14759.5122

1 13 49.3656 351.8383 4141.7449 14759.5122

1 14 49.3656 324.0616 4141.7449 13594.2875

1 15 49.3656 324.0616 4141.7449 13594.2875

1 16 49.3656 324.0616 4141.7449 13594.2875

1 17 49.3656 324.0616 4141.7449 13594.2875

1 18 49.3656 324.0616 4141.7449 13594.2875

1 19 49.3656 324.0616 4141.7449 13594.2875

1 20 49.3656 324.0616 4141.7449 13594.2875

1 21 49.3656 324.0616 4141.7449 13594.2875

2 22 49.3656 324.0616 4141.7449 13594.2875

2 23 49.3656 296.2849 4141.7449 12429.0629

2 24 49.3656 296.2849 4141.7449 12429.0629

2 25 49.3656 296.2849 4141.7449 12429.0629

2 26 49.3656 296.2849 4141.7449 12429.0629

2 27 49.3656 296.2849 4141.7449 12429.0629

2 28 49.3656 296.2849 4141.7449 12429.0629

2 29 49.3656 296.2849 4141.7449 12429.0629

3 30 49.3656 296.2849 4141.7449 12429.0629

3 31 49.3656 277.7671 4141.7449 11652.2464

3 32 49.3656 277.7671 4141.7449 11652.2464

3 33 49.3656 277.7671 4141.7449 11652.2464

TOTAL SUM 1678.4304 10879.2097 140819.3250 456379.6525

Label Value

Total Preparation cost 12557.6401

Total Welding cost 597198.9775

Total 609756.6176

#Material Label Weight Poisson WeldCost_Electrode WeldCost_Flux WeldCost_Labour Yield Stress Young modulus

0 S235 JR 7850 0.3000 30.00 20.00 30.00 235.0 2.100e+05

1 S355 JR 7850 0.3000 30.00 20.00 30.00 355.0 2.100e+05

2 S460 M 7850 0.3000 35.00 25.00 35.00 460.0 2.100e+05

3 S460 N 7850 0.3000 40.00 35.00 35.00 460.0 2.100e+05




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omputat on resu ts

3.1 Resonance modes and frequencies

The first three resonance frequencies and the corresponding modes of the monopile offshore wind turbine in the 2D plane are presented in thisparagraph.

3.1.1 Resonance frequencies

3.1.2 Resonance modes

3.1.3 Campbell diagram

The Campbell diagram characterizing the offshore wind turbine shows the eigen frequencies with +/- 5% variance compared to the rotational speedrange of the rotor. The Campbell diagram characterizing the offshore wind turbine shows the eigen frequencies with +/- 5% variance compared to therotational speed range of the rotor.

Numbering of resonance mode Resonance frequency(Hz)

1 0.209

2 1.377

3 4.037




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The 1n excitation frequency meets the 1st natural frequency of the support structure at the rotational frequency 12.536456561443794 rpm.

The 1n excitation frequency doesnt meet the 2nd natural frequency of the support structure.

An intersection between the 3 n excitation frequency and the 1st natural frequency of the support structure is found at the rotational frequency4.178818853814598 rpm.

The 3 n excitation frequency doesnt meet the 2nd natural frequency of the support structure.

So the control system should adjust the rotational speed to avoid the following value:

12.536456561443794 4.178818853814598

3.2 Results of fatigue computation

3.2.1 ButtWeld between ringshells

RingCumulative fatigue damage due to wave

actionCumulative fatigue damage due to wind

actionTotal cumulative fatigue damage

DFat

V0_BOTTOM 0.00830999 0.000126362 0.00843635

V0_TOP 8.79127 0.000126905 8.79139

V1_BOTTOM 8.79127 0.000126905 8.79139

V1_TOP 12.2637 0.000110348 12.2638

V2_BOTTOM 12.2637 0.000110348 12.2638

V2_TOP 6.16973 9.55667e-05 6.16983

V3_BOTTOM 6.16973 9.55667e-05 6.16983

V3_TOP 2.92256 8.24137e-05 2.92264

V4_BOTTOM 2.92256 8.24137e-05 2.92264

V4_TOP 1.50154 7.07509e-05 1.50161

V5_BOTTOM 1.50154 7.07509e-05 1.50161

V5_TOP 0.842231 6.04478e-05 0.842291

V6_BOTTOM 0.842231 6.04478e-05 0.842291

V6_TOP 0.508647 5.13818e-05 0.508698

V7_BOTTOM 0.508647 5.13818e-05 0.508698

V7_TOP 0.326155 4.34381e-05 0.326199

V8_BOTTOM 0.326155 4.34381e-05 0.326199

V8_TOP 0.219562 3.65090e-05 0.219598

V9_BOTTOM 0.219562 3.65090e-05 0.219598

V9_TOP 0.153841 3.04941e-05 0.153872

V10_BOTTOM 0.153841 3.04941e-05 0.153872

V10_TOP 0.111450 2.52997e-05 0.111476

V11_BOTTOM 0.111450 2.52997e-05 0.111476

V11_TOP 0.0830518 2.08388e-05 0.0830726

V12_BOTTOM 0.0830518 2.08388e-05 0.0830726

V12_TOP 0.0633653 3.15181e-05 0.0633968

V13_BOTTOM 0.0633653 3.15181e-05 0.0633968

V13_TOP 0.0580479 3.21682e-05 0.0580801

V14_BOTTOM 0.0580479 3.21682e-05 0.0580801

V14_TOP 0.0458517 2.58293e-05 0.0458775

V15_BOTTOM 0.0458517 2.58293e-05 0.0458775V15_TOP 0.0367613 2.05321e-05 0.0367819

V16_BOTTOM 0.0367613 2.05321e-05 0.0367819

V16_TOP 0.0298783 1.61426e-05 0.0298945

V17_BOTTOM 0.0298783 1.61426e-05 0.0298945

V17_TOP 0.0245896 1.25386e-05 0.0246022

V18_BOTTOM 0.0245896 1.25386e-05 0.0246022

V18_TOP 0.0204709 9.60958e-06 0.0204805

V19_BOTTOM 0.0204709 9.60958e-06 0.0204805

V19_TOP 0.0172226 7.25594e-06 0.0172299

V20_BOTTOM 0.0172226 7.25594e-06 0.0172299

V20_TOP 0.0146310 5.38833e-06 0.0146364




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3.2.2 ButtWeld between segments

3.3 Results of ultimate strength limit

3.3.1 Load cases

Load Case 0Type of analysis : E

Load Case 1Type of analysis : N

V21_BOTTOM 0.0146310 5.38833e-06 0.0146364

V21_TOP 0.0125389 7.67893e-06 0.0125466

V22_BOTTOM 0.0125389 7.67893e-06 0.0125466

V22_TOP 0.0129530 7.06263e-06 0.0129601

V23_BOTTOM 0.0129530 7.06263e-06 0.0129601

V23_TOP 0.0112640 4.91869e-06 0.0112689

V24_BOTTOM 0.0112640 4.91869e-06 0.0112689

V24_TOP 0.00986087 3.33117e-06 0.00986420

V25_BOTTOM 0.00986087 3.33117e-06 0.00986420

V25_TOP 0.00868725 2.18380e-06 0.00868943

V26_BOTTOM 0.00868725 2.18380e-06 0.00868943

V26_TOP 0.00769922 1.37777e-06 0.00770060

V27_BOTTOM 0.00769922 1.37777e-06 0.00770060

V27_TOP 0.00686225 8.30343e-07 0.00686308

V28_BOTTOM 0.00686225 8.30343e-07 0.00686308

V28_TOP 0.00614908 4.73423e-07 0.00614956

V29_BOTTOM 0.00614908 4.73423e-07 0.00614956

V29_TOP 0.00553786 4.10231e-07 0.00553827

V30_BOTTOM 0.00553786 4.10231e-07 0.00553827

V30_TOP 0.00570109 2.40234e-07 0.00570133

V31_BOTTOM 0.00570109 2.40234e-07 0.00570133

V31_TOP 0.00518146 1.05407e-07 0.00518157

V32_BOTTOM 0.00518146 1.05407e-07 0.00518157V32_TOP 0.00472911 4.03908e-08 0.00472915

V33_BOTTOM 0.00472911 4.03908e-08 0.00472915

V33_TOP 0.00000 0.00000 0.00000

Seg Wave Wind Total Wave Wind Total

S1 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000

S2 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000

S3 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000

S4 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000

Type Label Value Unit TypeOp

Tower top loads Fx 870.0 kN Operational

Fy -210.0 kN Operational

Fz -150.0 kN Operational

Mx 5300.0 kNm Operational

My -2840.0 kNm Operational

Mz -1240.0 kNm Operational

Wind / wave misalign 0.0

Wave conditions Sea state Regular

Wave height 4.8 m

Wave period 9.2 s

AerodynamicAerodynamic 0.04

Type Label Value Unit TypeOp

Tower top loads Fx 721.0 kN Operational

Fy 120.0 kNOperational

Fz 0.0 kNOperational

Mx 0.0 kNm Operational




10/32

3.3.2 Internal loads

3.3.2.1 Internal loads per load case

Load case : 0

My 2125.0 kNm Operational

Mz 3800.0 kNm Operational

Wind / wave misalign 0.0

Wave conditions Sea state Regular

Wave height 6.0 m

Wave period 25.0 s

AerodynamicAerodynamic 0.04

IdW Wind

(kN)FxWindProj

(kN)FyWindProj

(kN)FxWave

(kN)Fz

(kN)MxWindProj

(kNm)MyWindProj

(kNm)MyWave

(kNm)Mz

(kNm)PSD(kN)

33 19.18 1194 -284 38 -2943 8105 197 128 1674 0

32 18.94 1213 -284 41 -3168 9054 4291 267 1674 0

31 18.69 1231 -284 45 -3392 10004 8447 417 1674 0




11/32

Load case : 1

30 18.89 1250 -284 47 -3624 10954 12667 576 1674 0

29 19.06 1269 -284 50 -3864 11904 16951 743 1674 0

28 18.77 1288 -284 52 -4103 12853 21297 919 1674 0

27 18.47 1306 -284 54 -4343 13803 25705 1100 1674 0

26 18.16 1325 -284 56 -4583 14753 30173 1287 1674 0

25 17.84 1342 -284 57 -4823 15703 34700 1479 1674 0

24 17.50 1360 -284 58 -5062 16652 39285 1675 1674 0

23 17.15 1377 -284 60 -5302 17602 43928 1875 1674 0

22 17.35 1394 -284 61 -5553 18552 48628 2078 1674 021 17.49 1412 -284 63 -5816 19501 53388 2285 1674 0

20 17.04 1429 -284 65 -6079 20451 58203 2493 1674 0

19 16.56 1446 -284 67 -6341 21401 63074 2704 1674 0

18 16.05 1462 -284 69 -6604 22351 67997 2915 1674 0

17 15.49 1477 -284 70 -6867 23300 72972 3127 1674 0

16 14.87 1492 -284 72 -7130 24250 77995 3341 1674 0

15 14.19 1506 -284 72 -7392 25200 83064 3556 1674 0

14 13.42 1520 -284 73 -7655 26149 88177 3774 1674 0

13 12.90 1532 -284 73 -7929 27099 93333 3992 1674 0

12 12.13 1545 -284 75 -8215 28049 98527 4212 1674 0

11 10.61 1555 -284 75 -8500 28999 103755 4456 1674 0

10 8.25 1563 -284 76 -8786 29948 109007 4712 1674 -22

9 1.15 1565 -284 76 -9072 30898 114250 4966 1674 -67

8 0.00 1565 -284 186 -9357 31848 119492 5525 1674-1137 0.00 1565 -284 282 -9643 32798 124733 6380 1674-158

6 0.00 1565 -284 370 -9929 33747 129975 7493 1674-204

5 0.00 1565 -284 442 -10215 34697 135216 8823 1674-249

4 0.00 1565 -284 511 -10500 35647 140458 10420 1674-295

3 0.00 1565 -284 569 -10786 36596 145699 12265 1674-340

2 0.00 1565 -284 626 -11072 37546 150941 14289 1674-386

1 0.00 1565 -284 678 -11357 38496 156182 16473 1674-431

0 0.00 1565 -284 707 -11651 39446 161424 18742 1674-476




12/32

3.3.2.2 Design loads (envelop diagram)

Diagrames envelope des lments de rduction obtenus aprs iteration sur les load cases.

IdW Wind

(kN)FxWindProj

(kN)FyWindProj

(kN)FxWave

(kN)Fz

(kN)MxWindProj

(kNm)MyWindProj

(kNm)MyWave

(kNm)Mz

(kNm)PSD(kN)

33 12.52 878 144 17 -2741 -482 5511 58 4560 0

32 12.37 890 144 18 -2965 -965 8514 119 4560 0

31 12.21 902 144 18 -3189 -1447 11557 180 4560 0

30 12.33 915 144 18 -3422 -1930 14642 240 4560 0

29 12.44 927 144 17 -3661 -2412 17768 297 4560 0

28 12.26 939 144 17 -3901 -2894 20935 349 4560 0

27 12.06 951 144 16 -4141 -3377 24143 395 4560 0

26 11.86 963 144 15 -4380 -3859 27390 437 4560 0

25 11.65 975 144 16 -4620 -4342 30675 482 4560 0

24 11.43 986 144 16 -4860 -4824 33998 526 4560 0

23 11.20 998 144 17 -5100 -5306 37359 566 4560 0

22 11.33 1009 144 17 -5351 -5789 40757 600 4560 0

21 11.42 1020 144 17 -5614 -6271 44194 629 4560 0

20 11.13 1031 144 16 -5876 -6754 47668 651 4560 0

19 10.82 1042 144 16 -6139 -7236 51178 668 4560 0

18 10.48 1053 144 18 -6402 -7718 54722 712 4560 0

17 10.12 1063 144 19 -6664 -8201 58299 749 4560 0

16 9.72 1073 144 20 -6927 -8683 61909 777 4560 0

15 9.28 1082 144 21 -7190 -9166 65548 797 4560 014 8.78 1091 144 22 -7452 -9648 69217 807 4560 0

13 8.46 1099 144 22 -7727 -10130 72913 807 4560 0

12 7.96 1107 144 23 -8012 -10613 76635 797 4560 0

11 7.00 1114 144 24 -8298 -11095 80378 792 4560 0

10 5.55 1120 144 25 -8584 -11578 84138 828 4560 -23

9 1.13 1121 144 54 -8869 -12060 87894 952 4560 -63

8 0.00 1121 144 95 -9155 -12542 91649 1193 4560-104

7 0.00 1121 144 135 -9441 -13025 95403 1550 4560-144

6 0.00 1121 144 174 -9726 -13507 99158 2021 4560-185

5 0.00 1121 144 212 -10012 -13990 102912 2728 4560-225

4 0.00 1121 144 250 -10298 -14472 106666 3564 4560-265

3 0.00 1121 144 286 -10583 -14954 110421 4524 4560-306

2 0.00 1121 144 323 -10869 -15437 114175 5604 4560-346

1 0.00 1121 144 358 -11155 -15919 117930 6805 4560-387

0 0.00 1121 144 376 -11448 -16402 121684 8066 4560-427




13/32

Id Fx (kN) Fy (kN) Fz (kN) Mx (kNm) My (kNm) Mz (kNm) PSD (kN)

0 2271 284 -11651 39446 180166 4560 -476

1 2243 284 -11357 38496 172655 4560 -431

2 2191 284 -11072 37546 165229 4560 -386

3 2133 284 -10786 36596 157964 4560 -340

4 2075 284 -10500 35647 150878 4560 -295

5 2007 284 -10215 34697 144040 4560 -249

6 1934 284 -9929 33747 137468 4560 -204

7 1847 284 -9643 32798 131113 4560 -158

8 1750 284 -9357 31848 125017 4560 -113

9 1641 284 -9072 30898 119216 4560 -67

10 1640 284 -8786 29948 113718 4560 -23

11 1630 284 -8500 28999 108211 4560 0

12 1620 284 -8215 28049 102739 4560 0

13 1606 284 -7929 27099 97324 4560 0

14 1593 284 -7655 26149 91951 4560 0

15 1578 284 -7392 25200 86620 4560 0

16 1564 284 -7130 24250 81336 4560 0

17 1547 284 -6867 23300 76099 4560 0

18 1530 284 -6604 22351 70912 4560 0

19 1512 284 -6341 21401 65777 4560 0

20 1494 284 -6079 20451 60697 4560 0

21 1475 284 -5816 19501 55673 4560 0




14/32

3.3.3 Stresses in shells

Tableau rcapitulatif des contraintes existantes dans les coques + contraintes limites de voilement (pour chaque virole) + pourcentage de capacitrsistante rsiduelle

Drawing with constraints repartitions

Rules : DNV

3.3.3.1 - Buckling verification - DNV

3.3.3.1b - Buckling verification - DNV

-

23 1437 284 -5302 17602 45803 4560 0

24 1418 284 -5062 16652 40960 4560 0

25 1400 284 -4823 15703 36179 4560 0

26 1380 284 -4583 14753 31460 4560 0

27 1361 284 -4343 13803 26805 4560 0

28 1340 284 -4103 12853 22216 4560 0

29 1319 284 -3864 11904 18065 4560 0

30 1298 284 -3624 10954 14882 4560 0

31 1276 284 -3392 10004 11737 4560 0

32 1254 284 -3168 9054 8633 4560 0

33 1232 284 -2943 8105 5570 4560 0

Shell ring JSD FKSD yM JSD/FKSD ResidualRingshell 000 243.3 189.6 1.1841 1.2836 -28.4%

Ringshell 001 240.0 194.0 1.1669 1.2374 -23.7%

Ringshell 002 230.5 195.4 1.1612 1.1795 -17.9%

Ringshell 003 221.2 197.1 1.1547 1.1225 -12.2%

Ringshell 004 212.1 198.4 1.1500 1.0690 -6.9%

Ringshell 005 203.4 199.1 1.1500 1.0217 -2.2%

Ringshell 006 195.0 199.7 1.1500 0.9763 2.4%

Ringshell 007 186.8 200.4 1.1500 0.9325 6.8%

Ringshell 008 179.0 201.0 1.1500 0.8905 10.9%

Ringshell 009 171.6 201.7 1.1500 0.8507 14.9%

Ringshell 010 164.6 202.3 1.1500 0.8135 18.7%

Ringshell 011 157.3 202.6 1.1500 0.7762 22.4%

Ringshell 012 149.7 202.6 1.1500 0.7391 26.1%

Ringshell 013 154.1 202.7 1.1500 0.7603 24.0%Ringshell 014 158.5 202.8 1.1500 0.7815 21.8%

Ringshell 015 149.9 202.8 1.1500 0.7390 26.1%

Ringshell 016 141.3 202.8 1.1500 0.6969 30.3%

Ringshell 017 132.8 202.7 1.1500 0.6552 34.5%

Ringshell 018 124.4 202.7 1.1500 0.6139 38.6%

Ringshell 019 116.1 202.6 1.1500 0.5730 42.7%

Ringshell 020 107.9 202.5 1.1500 0.5326 46.7%

Ringshell 021 99.8 202.5 1.1500 0.4927 50.7%

Ringshell 022 100.0 202.6 1.1500 0.4937 50.6%

Ringshell 023 99.9 202.7 1.1500 0.4928 50.7%

Ringshell 024 90.6 202.6 1.1500 0.4473 55.3%

Ringshell 025 81.5 202.5 1.1500 0.4027 59.7%

Ringshell 026 72.6 202.3 1.1500 0.3589 64.1%

Ringshell 027 63.9 202.1 1.1500 0.3162 68.4%

Ringshell 028 55.5 201.9 1.1500 0.2748 72.5%

Ringshell 029 47.9 201.5 1.1500 0.2377 76.2%

Ringshell 030 44.6 202.2 1.1500 0.2204 78.0%

Ringshell 031 40.9 202.2 1.1500 0.2025 79.7%

Ringshell 032 34.9 201.9 1.1500 0.1731 82.7%

Ringshell 033 29.6 201.5 1.1500 0.1468 85.3%

Global nsdAv nksd 7107527.7 41140282.2 82.7%

Shell ring JSD FKSDSP yM JSD/FKSDSP Residual




15/32

3.3.3.1c - Stiffener verification - DNV

3.3.3.2 - Fatigue analysis

Shell ring A AReq Residual I IReq Residual

Shell ring Dfat Wind D fat Wave Total Limit Residual

Ringshell B.000 0.0001 0.0083 0.0084 1.0 99.2%

Ringshell T.000 0.0001 8.7913 8.7914 1.0 -779.1%

Ringshell B.001 0.0001 8.7913 8.7914 1.0 -779.1%

Ringshell T.001 0.0001 12.2637 12.2638 1.0 -1126.4%

Ringshell B.002 0.0001 12.2637 12.2638 1.0 -1126.4%

Ringshell T.002 0.0001 6.1697 6.1698 1.0 -517.0%

Ringshell B.003 0.0001 6.1697 6.1698 1.0 -517.0%

Ringshell T.003 0.0001 2.9226 2.9226 1.0 -192.3%

Ringshell B.004 0.0001 2.9226 2.9226 1.0 -192.3%

Ringshell T.004 0.0001 1.5015 1.5016 1.0 -50.2%

Ringshell B.005 0.0001 1.5015 1.5016 1.0 -50.2%

Ringshell T.005 0.0001 0.8422 0.8423 1.0 15.8%

Ringshell B.006 0.0001 0.8422 0.8423 1.0 15.8%

Ringshell T.006 0.0001 0.5086 0.5087 1.0 49.1%

Ringshell B.007 0.0001 0.5086 0.5087 1.0 49.1%

Ringshell T.007 0.0000 0.3262 0.3262 1.0 67.4%

Ringshell B.008 0.0000 0.3262 0.3262 1.0 67.4%

Ringshell T.008 0.0000 0.2196 0.2196 1.0 78.0%

Ringshell B.009 0.0000 0.2196 0.2196 1.0 78.0%

Ringshell T.009 0.0000 0.1538 0.1539 1.0 84.6%

Ringshell B.010 0.0000 0.1538 0.1539 1.0 84.6%

Ringshell T.010 0.0000 0.1115 0.1115 1.0 88.9%

Ringshell B.011 0.0000 0.1115 0.1115 1.0 88.9%

Ringshell T.011 0.0000 0.0831 0.0831 1.0 91.7%

Ringshell B.012 0.0000 0.0831 0.0831 1.0 91.7%

Ringshell T.012 0.0000 0.0634 0.0634 1.0 93.7%

Ringshell B.013 0.0000 0.0634 0.0634 1.0 93.7%

Ringshell T.013 0.0000 0.0580 0.0581 1.0 94.2%

Ringshell B.014 0.0000 0.0580 0.0581 1.0 94.2%

Ringshell T.014 0.0000 0.0459 0.0459 1.0 95.4%

Ringshell B.015 0.0000 0.0459 0.0459 1.0 95.4%

Ringshell T.015 0.0000 0.0368 0.0368 1.0 96.3%

Ringshell B.016 0.0000 0.0368 0.0368 1.0 96.3%

Ringshell T.016 0.0000 0.0299 0.0299 1.0 97.0%

Ringshell B.017 0.0000 0.0299 0.0299 1.0 97.0%

Ringshell T.017 0.0000 0.0246 0.0246 1.0 97.5%

Ringshell B.018 0.0000 0.0246 0.0246 1.0 97.5%

Ringshell T.018 0.0000 0.0205 0.0205 1.0 98.0%

Ringshell B.019 0.0000 0.0205 0.0205 1.0 98.0%

Ringshell T.019 0.0000 0.0172 0.0172 1.0 98.3%

Ringshell B.020 0.0000 0.0172 0.0172 1.0 98.3%

Ringshell T.020 0.0000 0.0146 0.0146 1.0 98.5%

Ringshell B.021 0.0000 0.0146 0.0146 1.0 98.5%Ringshell T.021 0.0000 0.0125 0.0125 1.0 98.7%

Ringshell B.022 0.0000 0.0125 0.0125 1.0 98.7%

Ringshell T.022 0.0000 0.0130 0.0130 1.0 98.7%

Ringshell B.023 0.0000 0.0130 0.0130 1.0 98.7%

Ringshell T.023 0.0000 0.0113 0.0113 1.0 98.9%

Ringshell B.024 0.0000 0.0113 0.0113 1.0 98.9%

Ringshell T.024 0.0000 0.0099 0.0099 1.0 99.0%

Ringshell B.025 0.0000 0.0099 0.0099 1.0 99.0%

Ringshell T.025 0.0000 0.0087 0.0087 1.0 99.1%

Ringshell B.026 0.0000 0.0087 0.0087 1.0 99.1%

Ringshell T.026 0.0000 0.0077 0.0077 1.0 99.2%




16/32

3.3.3.3 - Yield check

3.3.3.1 - Buckling verification - GL

Ringshell B.027 0.0000 0.0077 0.0077 1.0 99.2%

Ringshell T.027 0.0000 0.0069 0.0069 1.0 99.3%

Ringshell B.028 0.0000 0.0069 0.0069 1.0 99.3%

Ringshell T.028 0.0000 0.0061 0.0061 1.0 99.4%

Ringshell B.029 0.0000 0.0061 0.0061 1.0 99.4%

Ringshell T.029 0.0000 0.0055 0.0055 1.0 99.4%

Ringshell B.030 0.0000 0.0055 0.0055 1.0 99.4%

Ringshell T.030 0.0000 0.0057 0.0057 1.0 99.4%

Ringshell B.031 0.0000 0.0057 0.0057 1.0 99.4%

Ringshell T.031 0.0000 0.0052 0.0052 1.0 99.5%

Ringshell B.032 0.0000 0.0052 0.0052 1.0 99.5%

Ringshell T.032 0.0000 0.0047 0.0047 1.0 99.5%

Ringshell B.033 0.0000 0.0047 0.0047 1.0 99.5%

Ringshell T.033 0.0000 0.0000 0.0000 1.0 100.0%

Shell ring JSD fy,k fy,d JSD/fy,d Residual

Ringshell 000 243.3 215.0 195.5 1.2449 -24.5%

Ringshell 001 240.0 215.0 195.5 1.2280 -22.8%

Ringshell 002 230.5 215.0 195.5 1.1794 -17.9%

Ringshell 003 221.2 215.0 195.5 1.1317 -13.2%

Ringshell 004 212.1 215.0 195.5 1.0853 -8.5%

Ringshell 005 203.4 215.0 195.5 1.0405 -4.1%

Ringshell 006 195.0 215.0 195.5 0.9975 0.2%

Ringshell 007 186.8 215.0 195.5 0.9559 4.4%

Ringshell 008 179.0 215.0 195.5 0.9160 8.4%

Ringshell 009 171.6 215.0 195.5 0.8780 12.2%

Ringshell 010 164.6 215.0 195.5 0.8421 15.8%

Ringshell 011 157.3 215.0 195.5 0.8048 19.5%

Ringshell 012 149.7 215.0 195.5 0.7661 23.4%

Ringshell 013 154.1 215.0 195.5 0.7886 21.1%

Ringshell 014 158.5 215.0 195.5 0.8111 18.9%

Ringshell 015 149.9 215.0 195.5 0.7668 23.3%

Ringshell 016 141.3 215.0 195.5 0.7230 27.7%

Ringshell 017 132.8 215.0 195.5 0.6795 32.0%


Ringshell 020 107.9 215.0 195.5 0.5519 44.8%

Ringshell 021 99.8 215.0 195.5 0.5104 49.0%

Ringshell 022 100.0 215.0 195.5 0.5118 48.8%

Ringshell 023 99.9 215.0 195.5 0.5111 48.9%

Ringshell 024 90.6 215.0 195.5 0.4637 53.6%

Ringshell 025 81.5 215.0 195.5 0.4172 58.3%

Ringshell 026 72.6 215.0 195.5 0.3715 62.8%

Ringshell 027 63.9 215.0 195.5 0.3270 67.3%

Ringshell 028 55.5 215.0 195.5 0.2838 71.6%

Ringshell 029 47.9 215.0 195.5 0.2451 75.5%

Ringshell 030 44.6 215.0 195.5 0.2280 77.2%

Ringshell 031 40.9 215.0 195.5 0.2095 79.1%


Shell ring ASD+MSD FKSD ASD+MSD/FKSD Residual

Ringshell 000 249.2 189.6 1.3144 -31.4%

Ringshell 001 245.1 194.0 1.2636 -26.4%

Ringshell 002 235.0 195.4 1.2025 -20.3%

Ringshell 003 225.1 197.1 1.1424 -14.2%

Ringshell 004 215.5 198.4 1.0858 -8.6%

Ringshell 005 206.2 199.1 1.0356 -3.6%




17/32

3.3.3.1b - Buckling verification - GL

Ringshell 006 197.2 199.7 0.9873 1.3%

Ringshell 007 188.4 200.4 0.9405 5.9%

Ringshell 008 180.1 201.0 0.8957 10.4%

Ringshell 009 172.1 201.7 0.8530 14.7%

Ringshell 010 164.5 202.3 0.8127 18.7%

Ringshell 011 156.8 202.6 0.7739 22.6%

Ringshell 012 149.2 202.6 0.7366 26.3%

Ringshell 013 153.6 202.7 0.7577 24.2%

Ringshell 014 157.9 202.8 0.7787 22.1%

Ringshell 015 149.3 202.8 0.7360 26.4%

Ringshell 016 140.7 202.8 0.6938 30.6%

Ringshell 017 132.1 202.7 0.6519 34.8%

Ringshell 018 123.7 202.7 0.6104 39.0%

Ringshell 019 115.3 202.6 0.5693 43.1%

Ringshell 020 107.1 202.5 0.5287 47.1%

Ringshell 021 98.9 202.5 0.4885 51.1%

Ringshell 022 99.1 202.6 0.4890 51.1%

Ringshell 023 98.8 202.7 0.4874 51.3%

Ringshell 024 89.4 202.6 0.4415 55.9%

Ringshell 025 80.2 202.5 0.3962 60.4%

Ringshell 026 71.2 202.3 0.3518 64.8%

Ringshell 027 62.3 202.1 0.3082 69.2%

Ringshell 028 53.6 201.9 0.2656 73.4%Ringshell 029 45.8 201.5 0.2272 77.3%

Ringshell 030 42.1 202.2 0.2080 79.2%

Ringshell 031 37.9 202.2 0.1877 81.2%

Ringshell 032 31.4 201.9 0.1557 84.4%

Ringshell 033 25.4 201.5 0.1261 87.4%

Global nsdAv


18/32

3.3.3.4 - Summary

3.3.3.5 - Resonance check

4 Optimisation

4.1 Optimisation parameters

4.1.1 Generals

Ringshell 029 0.0 0.0 0.0000 Not a number





Global nsdAv 1.05 0.9732 NO

1 F < 0.95 && F > 1.05 0.1477 OK

2 F < 0.95 && F > 1.05 0.0504 OK

Function to optimize COST

Weighting coefficient fP 0.5

Population 50

Generation 300




19/32

4.1.2 Catalogues of variables

The catalogues of variables considered for the scantling of ring shells are summarized in the table below.

The values of the variables for the scantling of tower segments are given here after.

Ring shells diameter (m)

2.0

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

Ring shells ticknesses (m)

0.01

0.02

0.03

0.04

0.05

0.06

0.07

0.08

0.09

0.1

Material (m)

Material [ID=1, Label=S355 JR,

PoissonCoefficient=0.3,

SpecificWeight=7850.0,

YieldStress=355.0,YoungModulus=210000.0]

Nbr Longistiff

0.0

1.0

2.0

3.0

4.0

Profile of longistiff

Profile

[Flange_thickness=5.9,

Flange_width=42.0,

ID=0, Name=IPN 80*,

Web_height=80.0,Web_thickness=3.9]

Profile


Flange_width=50.0,

ID=1, Name=IPN 100*,

Web_height=100.0,

Web_thickness=4.5]

Profile


Flange_width=58.0,


Web_height=120.0,

Web_thickness=5.1]

Profile


Flange_width=66.0,ID=3, Name=IPN 140*,

Web_height=140.0,

Web_thickness=5.7]

Profile


Flange_width=74.0,


Web_height=160.0,

Web_thickness=6.3]

Profile


Flange_width=82.0,


Web_height=180.0,

Web_thickness=6.9]

Profile


Flange_width=90.0,


Web_height=200.0,

Web_thickness=7.5]

Profile


Flange_width=98.0,


Web_height=220.0,

Web_thickness=8.1]

Profile


Nbr Rings

0.0

1.0

2.0

3.0

4.0

Profile of rings

Profile


Flange_width=42.0,

ID=0, Name=IPN 80*,

Web_height=80.0,Web_thickness=3.9]

Profile


Flange_width=50.0,


Web_height=100.0,

Web_thickness=4.5]

Profile


Flange_width=58.0,


Web_height=120.0,

Web_thickness=5.1]

Profile


Flange_width=66.0,ID=3, Name=IPN 140*,

Web_height=140.0,

Web_thickness=5.7]

Profile


Flange_width=74.0,


Web_height=160.0,

Web_thickness=6.3]

Profile


Flange_width=82.0,


Web_height=180.0,

Web_thickness=6.9]

Profile


Flange_width=90.0,


Web_height=200.0,

Web_thickness=7.5]

Profile


Flange_width=98.0,


Web_height=220.0,

Web_thickness=8.1]

Profile





20/32

ange_w = . ,


Web_height=240.0,

Web_thickness=8.7]

Profile


Flange_width=113.0,


Web_height=260.0,

Web_thickness=9.4]

Profile[Flange_thickness=15.2,

Flange_width=119.0,


Web_height=280.0,

Web_thickness=10.1]

Profile


Flange_width=125.0,


Web_height=300.0,

Web_thickness=10.8]

Profile


Flange_width=131.0,


Web_height=320.0,

Web_thickness=11.5]

Profile


Flange_width=46.0,

ID=13, Name=IPE 80*,

Web_height=80.0,

Web_thickness=3.8]

Profile


Flange_width=55.0,


Web_height=100.0,

Web_thickness=4.1]

Profile


Flange_width=64.0,

ID=15, Name=IPE 120,Web_height=120.0,

Web_thickness=4.4]

Profile


Flange_width=73.0,

ID=17, Name=IPE 140,

Web_height=140.0,

Web_thickness=4.7]

Profile


Flange_width=82.0,


Web_height=160.0,

Web_thickness=5.0]

Profile

[Flange_thickness=8.5,Flange_width=100.0,


Web_height=200.0,

Web_thickness=5.6]

Profile


Flange_width=91.0,


Web_height=180.0,

Web_thickness=5.3]

Profile


Flange width=120.0,

ange_w = . ,


Web_height=240.0,

Web_thickness=8.7]

Profile


Flange_width=113.0,


Web_height=260.0,

Web_thickness=9.4]

Profile[Flange_thickness=15.2,

Flange_width=119.0,


Web_height=280.0,

Web_thickness=10.1]

Profile


Flange_width=125.0,


Web_height=300.0,

Web_thickness=10.8]

Profile


Flange_width=131.0,


Web_height=320.0,

Web_thickness=11.5]

Profile


Flange_width=46.0,


Web_height=80.0,

Web_thickness=3.8]

Profile


Flange_width=55.0,


Web_height=100.0,

Web_thickness=4.1]

Profile


Flange_width=64.0,

ID=15, Name=IPE 120,Web_height=120.0,

Web_thickness=4.4]

Profile


Flange_width=73.0,


Web_height=140.0,

Web_thickness=4.7]

Profile


Flange_width=82.0,


Web_height=160.0,

Web_thickness=5.0]

Profile

[Flange_thickness=8.5,Flange_width=100.0,


Web_height=200.0,

Web_thickness=5.6]

Profile


Flange_width=91.0,


Web_height=180.0,

Web_thickness=5.3]

Profile


Flange width=120.0,




21/32


22/32

4.2.2 Optimization graphs

4.2.3 Optimised scantling

4.2.3.1 Segments characteristics

Number of violated restrictions 14 53 73.58490566037736

id Vir Z Bottom Z Top Height Tickness Diameter Inf. Diameter Sup. Material

0 0.000 3.350 3.350 0.06000 4.000 2.900 S355 JR

1 0.000 3.350 3.350 0.09000 2.900 2.600 S355 JR

2 0.000 3.350 3.350 0.09000 2.600 2.700 S355 JR

3 0.000 3.350 3.350 0.06000 2.700 2.500 S355 JR

4 0.000 3.350 3.350 0.1000 2.500 2.900 S355 JR

5 0.000 3.350 3.350 0.08000 2.900 2.800 S355 JR

6 0.000 3.350 3.350 0.08000 2.800 2.700 S355 JR

7 0.000 3.350 3.350 0.05000 2.700 2.700 S355 JR

8 0.000 3.350 3.350 0.08000 2.700 2.800 S355 JR

9 0.000 3.350 3.350 0.08000 2.800 2.700 S355 JR

10 0.000 3.350 3.350 0.1000 2.700 2.300 S355 JR

11 0.000 3.350 3.350 0.08000 2.300 2.800 S355 JR

12 0.000 3.350 3.350 0.09000 2.800 2.200 S355 JR

13 0.000 3.350 3.350 0.08000 2.200 2.700 S355 JR

14 0.000 3.350 3.350 0.09000 2.700 2.400 S355 JR

15 0.000 3.350 3.350 0.09000 2.400 2.300 S355 JR

16 0.000 3.350 3.350 0.06000 2.300 2.800 S355 JR

17 0.000 3.350 3.350 0.05000 2.800 2.400 S355 JR

18 0.000 3.350 3.350 0.06000 2.400 2.500 S355 JR

19 0.000 3.350 3.350 0.06000 2.500 2.800 S355 JR

20 0.000 3.350 3.350 0.04000 2.800 2.700 S355 JR

21 0.000 3.350 3.350 0.07000 2.700 2.900 S355 JR

22 0.000 3.350 3.350 0.08000 2.900 2.500 S355 JR

23 0.000 3.350 3.350 0.09000 2.500 2.400 S355 JR

24 0.000 3.350 3.350 0.07000 2.400 2.300 S355 JR

25 0.000 3.350 3.350 0.07000 2.300 2.400 S355 JR26 0.000 3.350 3.350 0.08000 2.400 2.100 S355 JR

27 0.000 3.350 3.350 0.08000 2.100 2.400 S355 JR

28 0.000 3.350 3.350 0.08000 2.400 2.500 S355 JR

29 0.000 3.350 3.350 0.07000 2.500 2.300 S355 JR

30 0.000 3.350 3.350 0.06000 2.300 2.400 S355 JR

31 0.000 3.350 3.350 0.04000 2.400 2.600 S355 JR

32 0.000 3.350 3.350 0.04000 2.600 2.700 S355 JR

33 0.000 3.350 3.350 0.04000 2.700 2.500 S355 JR




23/32

4.2.3.2 Ring characteristics

No rings

4.2.3.3 Drawing of the structure support

4.2.4 Scantling comparison

4.2.4.1 Ringshells

egId

Zbottom Ztop Height Typeong sprofile

r ongstiff

Fatigue Weight

0 0.0 43.55000000000001 43.55000000000001 UNSTIFF IPN 80* 0.0 160.0 225954.850

1 43.55000000000001 73.70000000000002 30.150000000000006 UNSTIFF IPN 80* 0.0 160.0 123064.842

2 73.7 100.5 26.800000000000004 UNSTIFF IPN 80* 0.0 160.0 119057.965

3 100.49999999999996 113.89999999999996 13.4 UNSTIFF IPN 80* 0.0 160.0 36565.856

Diam Inf.

Id Initial Optimal %

0 4.0 4.0 0

1 3.8 2.9 -31

2 3.8 2.6 -46

3 3.8 2.7 -41

4 3.8 2.5 -52

5 3.8 2.9 -31

6 3.8 2.8 -36

7 3.8 2.7 -41

8 3.8 2.7 -41

-

Diam Sup.


0 3.8 2.9 -31

1 3.8 2.6 -46

2 3.8 2.7 -41

3 3.8 2.5 -52

4 3.8 2.9 -31

5 3.8 2.8 -36

6 3.8 2.7 -41

7 3.8 2.7 -41

8 3.8 2.8 -36

-

Ticknesses


0 0.07 0.06 -17

1 0.07 0.09 22

2 0.07 0.09 22

3 0.07 0.06 -17

4 0.07 0.1 30

5 0.07 0.08 12

6 0.07 0.08 12

7 0.07 0.05 -40

8 0.07 0.08 12

Material


0 S235 JR S355 JR -

1 S235 JR S355 JR -

2 S235 JR S355 JR -

3 S235 JR S355 JR -

4 S235 JR S355 JR -

5 S235 JR S355 JR -

6 S235 JR S355 JR -

7 S235 JR S355 JR -

8 S235 JR S355 JR -

-




24/32

4.2.4.2 Segments

4.2.5 Computation results of the optimal scantling

4.2.5.1 Resonance mode and frequencies

4.2.5.2 Campbell diagram

The Campbell diagram characterizing the offshore wind turbine shows the eigen frequencies with +/- 5% variance compared to the rotational speedrange of the rotor. The Campbell diagram characterizing the offshore wind turbine shows the eigen frequencies with +/- 5% variance compared to therotational speed range of the rotor.

. .

10 3.8 2.7 -41

11 3.8 2.3 -65

12 3.8 2.8 -36

13 3.8 2.2 -73

14 3.5 2.7 -30

15 3.5 2.4 -46

16 3.5 2.3 -52

17 3.5 2.8 -25

18 3.5 2.4 -46

19 3.5 2.5 -40

20 3.5 2.8 -25

21 3.5 2.7 -30

22 3.5 2.9 -21

23 3.2 2.5 -28

24 3.2 2.4 -33

25 3.2 2.3 -39

26 3.2 2.4 -33

27 3.2 2.1 -52

28 3.2 2.4 -33

29 3.2 2.5 -28

30 3.2 2.3 -39

31 3.0 2.4 -25

32 3.0 2.6 -15

33 3.0 2.7 -11

. .

10 3.8 2.3 -65

11 3.8 2.8 -36

12 3.8 2.2 -73

13 3.5 2.7 -30

14 3.5 2.4 -46

15 3.5 2.3 -52

16 3.5 2.8 -25

17 3.5 2.4 -46

18 3.5 2.5 -40

19 3.5 2.8 -25

20 3.5 2.7 -30

21 3.5 2.9 -21

22 3.2 2.5 -28

23 3.2 2.4 -33

24 3.2 2.3 -39

25 3.2 2.4 -33

26 3.2 2.1 -52

27 3.2 2.4 -33

28 3.2 2.5 -28

29 3.2 2.3 -39

30 3.0 2.4 -25

31 3.0 2.6 -15

32 3.0 2.7 -11

33 3.0 2.5 -20

. .

10 0.07 0.1 30

11 0.07 0.08 12

12 0.07 0.09 22

13 0.07 0.08 12

14 0.07 0.09 22

15 0.07 0.09 22

16 0.07 0.06 -17

17 0.07 0.05 -40

18 0.07 0.06 -17

19 0.07 0.06 -17

20 0.07 0.04 -75

21 0.07 0.07 0

22 0.07 0.08 12

23 0.07 0.09 22

24 0.07 0.07 0

25 0.07 0.07 0

26 0.07 0.08 12

27 0.07 0.08 12

28 0.07 0.08 12

29 0.07 0.07 0

30 0.07 0.06 -17

31 0.07 0.04 -75

32 0.07 0.04 -75

33 0.07 0.04 -75

10 S235 JR S355 JR -

11 S235 JR S355 JR -

12 S235 JR S355 JR -

13 S235 JR S355 JR -

14 S235 JR S355 JR -

15 S235 JR S355 JR -

16 S235 JR S355 JR -

17 S235 JR S355 JR -

18 S235 JR S355 JR -

19 S235 JR S355 JR -

20 S235 JR S355 JR -

21 S235 JR S355 JR -

22 S235 JR S355 JR -

23 S235 JR S355 JR -

24 S235 JR S355 JR -

25 S235 JR S355 JR -

26 S235 JR S355 JR -

27 S235 JR S355 JR -

28 S235 JR S355 JR -

29 S235 JR S355 JR -

30 S235 JR S355 JR -

31 S235 JR S355 JR -

32 S235 JR S355 JR -

33 S235 JR S355 JR -

Ring Nbr

Id Initial Optimal

0 0 0

1 0 0

2 0 0

3 0 0

Stiff Id

Id Initial Optimal

0 --- ---

1 --- ---

2 --- ---

3 --- ---

Stiff Nbr

Id Initial Optimal

0 0.0 0.0

1 0.0 0.0

2 0.0 0.0

3 0.0 0.0

Numbering of resonance modeResonance frequency

(Hz)

1 0.140

2 0.992

3 2.868




25/32

The 1n excitation frequency meets the 1st natural frequency of the support structure at the rotational frequency 8.41476629203867 rpm.

The 1n excitation frequency doesnt meet the 2nd natural frequency of the support structure.

The 3 n excitation frequency doesnt meet the 1st natural frequency of the support structure.

The 3 n excitation frequency doesnt meet the 2nd natural frequency of the support structure.

So the control system should adjust the rotational speed to avoid the following value:

8.41476629203867

4.2.5.3 Results of fatigue computation

RingCumulative fatigue damage due to wave

actionCumulative fatigue damage due to wind

actionTotal cumulative fatigue damage

DFat

V0_BOTTOM 0.341461 0.00140507 0.342866

V0_TOP 533.061 0.00122415 533.063

V1_BOTTOM 484.025 0.00203211 484.027

V1_TOP 5592.56 0.00181777 5592.56

V2_BOTTOM 5592.56 0.00181777 5592.56

V2_TOP 604.366 0.0162949 604.382

V3_BOTTOM 737.172 0.00981608 737.181

V3_TOP 12857.8 0.000314178 12857.8

V4_BOTTOM 9997.97 0.000594958 9997.97

V4_TOP 1870.02 0.00127017 1870.02

V5_BOTTOM 2088.18 0.000961002 2088.18

V5_TOP 995.694 0.00119553 995.695

V6_BOTTOM 995.694 0.00119553 995.695

V6_TOP 75.6692 0.00997187 75.6791

V7_BOTTOM 95.3407 0.00554149 95.3462

V7_TOP 819.053 0.000398044 819.053

V8_BOTTOM 650.038 0.000716278 650.038

V8_TOP 394.923 0.000722075 394.924

V9_BOTTOM 394.923 0.000722075 394.924

V9_TOP 259.983 0.000812005 259.984

V10_BOTTOM 232.806 0.00107324 232.807

V10_TOP 308.352 0.000794640 308.352

V11_BOTTOM 344.348 0.000601219 344.349V11_TOP 96.7895 0.00106079 96.7906

V12_BOTTOM 91.3132 0.00122905 91.3144

V12_TOP 195.507 0.000697595 195.508

V13_BOTTOM 207.232 0.000602091 207.233

V13_TOP 147.830 0.000430584 147.830

V14_BOTTOM 139.466 0.000498883 139.466

V14_TOP 86.9969 0.000792110 86.9977

V15_BOTTOM 86.9969 0.000792110 86.9977

V15_TOP 65.6784 0.000907743 65.6793

V16_BOTTOM 80.2203 0.000546825 80.2208

V16_TOP 11.8995 0.00200335 11.9015




26/32

4.2.5.4 Results of ultimate limit state computation

Design loads (envelop diagrams) of the optimal support structure are summarized below.

Diagrames envelope des lments de rduction obtenus aprs iteration sur les load cases.

V17_BOTTOM 0.00000 0.00159507 0.00159507

V17_TOP 0.00000 0.000608159 0.000608159

V18_BOTTOM 0.00000 0.000763824 0.000763824

V18_TOP 0.00000 0.000215164 0.000215164

V19_BOTTOM 0.00000 0.000215164 0.000215164

V19_TOP 0.00000 0.00110396 0.00110396

V20_BOTTOM 0.00000 0.000665028 0.000665028

V20_TOP 0.00000 2.24174e-05 2.24174e-05

V21_BOTTOM 0.00000 4.51213e-05 4.51213e-05

V21_TOP 0.00000 4.46215e-05 4.46215e-05

V22_BOTTOM 0.00000 5.27271e-05 5.27271e-05

V22_TOP 0.00000 4.75444e-05 4.75444e-05

V23_BOTTOM 0.00000 5.50858e-05 5.50858e-05

V23_TOP 0.00000 0.000184828 0.000184828

V24_BOTTOM 0.00000 0.000135001 0.000135001

V24_TOP 0.00000 7.39042e-05 7.39042e-05

V25_BOTTOM 0.00000 7.39042e-05 7.39042e-05

V25_TOP 0.00000 6.44116e-05 6.44116e-05

V26_BOTTOM 0.00000 7.61122e-05 7.61122e-05

V26_TOP 0.00000 2.46296e-05 2.46296e-05

V27_BOTTOM 0.00000 2.46296e-05 2.46296e-05

V27_TOP 0.00000 7.72053e-06 7.72053e-06

V28_BOTTOM 0.00000 7.72053e-06 7.72053e-06V28_TOP 0.00000 1.36032e-05 1.36032e-05

V29_BOTTOM 0.00000 1.15120e-05 1.15120e-05

V29_TOP 0.00000 1.13352e-05 1.13352e-05

V30_BOTTOM 0.00000 9.34854e-06 9.34854e-06

V30_TOP 0.00000 1.46975e-05 1.46975e-05

V31_BOTTOM 0.00000 8.85379e-06 8.85379e-06

V31_TOP 0.00000 2.38593e-06 2.38593e-06

V32_BOTTOM 0.00000 2.38593e-06 2.38593e-06

V32_TOP 0.00000 1.47575e-06 1.47575e-06

V33_BOTTOM 0.00000 1.47575e-06 1.47575e-06

V33_TOP 0.00000 0.00000 0.00000




27/32

4.2.5.5 Restraints

3.3.3.1 - Buckling verification - DNV

Shell ring JSD FKSD yM JSD/FKSD Residual

Ringshell 000 243.3 189.6 1.1841 1.2836 -28.4%

Ringshell 001 240.0 194.0 1.1669 1.2374 -23.7%

Ringshell 002 230.5 195.4 1.1612 1.1795 -17.9%

Ringshell 003 221.2 197.1 1.1547 1.1225 -12.2%

Ringshell 004 212.1 198.4 1.1500 1.0690 -6.9%

Ringshell 005 203.4 199.1 1.1500 1.0217 -2.2%

Ringshell 006 195.0 199.7 1.1500 0.9763 2.4%

Ringshell 007 186.8 200.4 1.1500 0.9325 6.8%

Ringshell 008 179.0 201.0 1.1500 0.8905 10.9%


Ringshell 011 157.3 202.6 1.1500 0.7762 22.4%

Ringshell 012 149.7 202.6 1.1500 0.7391 26.1%

Ringshell 013 154.1 202.7 1.1500 0.7603 24.0%

Ringshell 014 158.5 202.8 1.1500 0.7815 21.8%

Ringshell 015 149.9 202.8 1.1500 0.7390 26.1%

Ringshell 016 141.3 202.8 1.1500 0.6969 30.3%

Ringshell 017 132.8 202.7 1.1500 0.6552 34.5%

Ringshell 018 124.4 202.7 1.1500 0.6139 38.6%

Ringshell 019 116.1 202.6 1.1500 0.5730 42.7%

Ringshell 020 107.9 202.5 1.1500 0.5326 46.7%

Ringshell 021 99.8 202.5 1.1500 0.4927 50.7%

Ringshell 022 100.0 202.6 1.1500 0.4937 50.6%


Ringshell 025 81.5 202.5 1.1500 0.4027 59.7%

Ringshell 026 72.6 202.3 1.1500 0.3589 64.1%

Ringshell 027 63.9 202.1 1.1500 0.3162 68.4%

Ringshell 028 55.5 201.9 1.1500 0.2748 72.5%

Ringshell 029 47.9 201.5 1.1500 0.2377 76.2%

Ringshell 030 44.6 202.2 1.1500 0.2204 78.0%

Ringshell 031 40.9 202.2 1.1500 0.2025 79.7%

Ringshell 032 34.9 201.9 1.1500 0.1731 82.7%

Ringshell 033 29.6 201.5 1.1500 0.1468 85.3%

Global nsdAv nksd 7107527.7 41140282.2 82.7%




28/32

3.3.3.1b - Buckling verification - DNV

3.3.3.1c - Stiffener verification - DNV

3.3.3.2 - Fatigue analysis

Shell ring JSD FKSDSP yM JSD/FKSDSP Residual

Shell ring A AReq Residual I IReq Residual

Shell ring Dfat Wind D fat Wave Total Limit Residual

Ringshell B.000 0.0001 0.0083 0.0084 1.0 99.2%

Ringshell T.000 0.0001 8.7913 8.7914 1.0 -779.1%

Ringshell B.001 0.0001 8.7913 8.7914 1.0 -779.1%

Ringshell T.001 0.0001 12.2637 12.2638 1.0 -1126.4%

Ringshell B.002 0.0001 12.2637 12.2638 1.0 -1126.4%

Ringshell T.002 0.0001 6.1697 6.1698 1.0 -517.0%

Ringshell B.003 0.0001 6.1697 6.1698 1.0 -517.0%

Ringshell T.003 0.0001 2.9226 2.9226 1.0 -192.3%

Ringshell B.004 0.0001 2.9226 2.9226 1.0 -192.3%

Ringshell T.004 0.0001 1.5015 1.5016 1.0 -50.2%

Ringshell B.005 0.0001 1.5015 1.5016 1.0 -50.2%

Ringshell T.005 0.0001 0.8422 0.8423 1.0 15.8%

Ringshell B.006 0.0001 0.8422 0.8423 1.0 15.8%

Ringshell T.006 0.0001 0.5086 0.5087 1.0 49.1%

Ringshell B.007 0.0001 0.5086 0.5087 1.0 49.1%

Ringshell T.007 0.0000 0.3262 0.3262 1.0 67.4%

Ringshell B.008 0.0000 0.3262 0.3262 1.0 67.4%

Ringshell T.008 0.0000 0.2196 0.2196 1.0 78.0%

Ringshell B.009 0.0000 0.2196 0.2196 1.0 78.0%

Ringshell T.009 0.0000 0.1538 0.1539 1.0 84.6%

Ringshell B.010 0.0000 0.1538 0.1539 1.0 84.6%

Ringshell T.010 0.0000 0.1115 0.1115 1.0 88.9%

Ringshell B.011 0.0000 0.1115 0.1115 1.0 88.9%

Ringshell T.011 0.0000 0.0831 0.0831 1.0 91.7%

Ringshell B.012 0.0000 0.0831 0.0831 1.0 91.7%

Ringshell T.012 0.0000 0.0634 0.0634 1.0 93.7%

Ringshell B.013 0.0000 0.0634 0.0634 1.0 93.7%

Ringshell T.013 0.0000 0.0580 0.0581 1.0 94.2%

Ringshell B.014 0.0000 0.0580 0.0581 1.0 94.2%

Ringshell T.014 0.0000 0.0459 0.0459 1.0 95.4%

Ringshell B.015 0.0000 0.0459 0.0459 1.0 95.4%

Ringshell T.015 0.0000 0.0368 0.0368 1.0 96.3%

Ringshell B.016 0.0000 0.0368 0.0368 1.0 96.3%

Ringshell T.016 0.0000 0.0299 0.0299 1.0 97.0%

Ringshell B.017 0.0000 0.0299 0.0299 1.0 97.0%

Ringshell T.017 0.0000 0.0246 0.0246 1.0 97.5%

Ringshell B.018 0.0000 0.0246 0.0246 1.0 97.5%

Ringshell T.018 0.0000 0.0205 0.0205 1.0 98.0%

Ringshell B.019 0.0000 0.0205 0.0205 1.0 98.0%

Ringshell T.019 0.0000 0.0172 0.0172 1.0 98.3%

Ringshell B.020 0.0000 0.0172 0.0172 1.0 98.3%

Ringshell T.020 0.0000 0.0146 0.0146 1.0 98.5%

Ringshell B.021 0.0000 0.0146 0.0146 1.0 98.5%

Ringshell T.021 0.0000 0.0125 0.0125 1.0 98.7%

Ringshell B.022 0.0000 0.0125 0.0125 1.0 98.7%

Ringshell T.022 0.0000 0.0130 0.0130 1.0 98.7%

Ringshell B.023 0.0000 0.0130 0.0130 1.0 98.7%

Ringshell T.023 0.0000 0.0113 0.0113 1.0 98.9%

Ringshell B.024 0.0000 0.0113 0.0113 1.0 98.9%

Ringshell T.024 0.0000 0.0099 0.0099 1.0 99.0%




29/32

3.3.3.3 - Yield check

3.3.3.1 - Buckling verification - GL

ngs e . . . . . .

Ringshell T.025 0.0000 0.0087 0.0087 1.0 99.1%

Ringshell B.026 0.0000 0.0087 0.0087 1.0 99.1%

Ringshell T.026 0.0000 0.0077 0.0077 1.0 99.2%

Ringshell B.027 0.0000 0.0077 0.0077 1.0 99.2%

Ringshell T.027 0.0000 0.0069 0.0069 1.0 99.3%

Ringshell B.028 0.0000 0.0069 0.0069 1.0 99.3%

Ringshell T.028 0.0000 0.0061 0.0061 1.0 99.4%

Ringshell B.029 0.0000 0.0061 0.0061 1.0 99.4%

Ringshell T.029 0.0000 0.0055 0.0055 1.0 99.4%

Ringshell B.030 0.0000 0.0055 0.0055 1.0 99.4%

Ringshell T.030 0.0000 0.0057 0.0057 1.0 99.4%

Ringshell B.031 0.0000 0.0057 0.0057 1.0 99.4%

Ringshell T.031 0.0000 0.0052 0.0052 1.0 99.5%

Ringshell B.032 0.0000 0.0052 0.0052 1.0 99.5%

Ringshell T.032 0.0000 0.0047 0.0047 1.0 99.5%

Ringshell B.033 0.0000 0.0047 0.0047 1.0 99.5%

Ringshell T.033 0.0000 0.0000 0.0000 1.0 100.0%

Shell ring JSD fy,k fy,d JSD/fy,d Residual

Ringshell 000 243.3 215.0 195.5 1.2449 -24.5%

Ringshell 001 240.0 215.0 195.5 1.2280 -22.8%

Ringshell 002 230.5 215.0 195.5 1.1794 -17.9%

Ringshell 003 221.2 215.0 195.5 1.1317 -13.2%

Ringshell 004 212.1 215.0 195.5 1.0853 -8.5%

Ringshell 005 203.4 215.0 195.5 1.0405 -4.1%

Ringshell 006 195.0 215.0 195.5 0.9975 0.2%

Ringshell 007 186.8 215.0 195.5 0.9559 4.4%

Ringshell 008 179.0 215.0 195.5 0.9160 8.4%

Ringshell 009 171.6 215.0 195.5 0.8780 12.2%

Ringshell 010 164.6 215.0 195.5 0.8421 15.8%

Ringshell 011 157.3 215.0 195.5 0.8048 19.5%

Ringshell 012 149.7 215.0 195.5 0.7661 23.4%

Ringshell 013 154.1 215.0 195.5 0.7886 21.1%

Ringshell 014 158.5 215.0 195.5 0.8111 18.9%

Ringshell 015 149.9 215.0 195.5 0.7668 23.3%

Ringshell 016 141.3 215.0 195.5 0.7230 27.7%

Ringshell 017 132.8 215.0 195.5 0.6795 32.0%

Ringshell 018 124.4 215.0 195.5 0.6365 36.3%

Ringshell 019 116.1 215.0 195.5 0.5940 40.6%

Ringshell 020 107.9 215.0 195.5 0.5519 44.8%

Ringshell 021 99.8 215.0 195.5 0.5104 49.0%

Ringshell 022 100.0 215.0 195.5 0.5118 48.8%

Ringshell 023 99.9 215.0 195.5 0.5111 48.9%

Ringshell 024 90.6 215.0 195.5 0.4637 53.6%

Ringshell 025 81.5 215.0 195.5 0.4172 58.3%

Ringshell 026 72.6 215.0 195.5 0.3715 62.8%

Ringshell 027 63.9 215.0 195.5 0.3270 67.3%


Ringshell 030 44.6 215.0 195.5 0.2280 77.2%

Ringshell 031 40.9 215.0 195.5 0.2095 79.1%

Ringshell 032 34.9 215.0 195.5 0.1788 82.1%

Ringshell 033 29.6 215.0 195.5 0.1514 84.9%

Shell ring ASD+MSD FKSD ASD+MSD/FKSD Residual

Ringshell 000 249.2 189.6 1.3144 -31.4%

Ringshell 001 245.1 194.0 1.2636 -26.4%




30/32

3.3.3.1b - Buckling verification - GL

ngs e . . . - .

Ringshell 003 225.1 197.1 1.1424 -14.2%

Ringshell 004 215.5 198.4 1.0858 -8.6%

Ringshell 005 206.2 199.1 1.0356 -3.6%

Ringshell 006 197.2 199.7 0.9873 1.3%

Ringshell 007 188.4 200.4 0.9405 5.9%

Ringshell 008 180.1 201.0 0.8957 10.4%

Ringshell 009 172.1 201.7 0.8530 14.7%

Ringshell 010 164.5 202.3 0.8127 18.7%

Ringshell 011 156.8 202.6 0.7739 22.6%

Ringshell 012 149.2 202.6 0.7366 26.3%

Ringshell 013 153.6 202.7 0.7577 24.2%

Ringshell 014 157.9 202.8 0.7787 22.1%

Ringshell 015 149.3 202.8 0.7360 26.4%

Ringshell 016 140.7 202.8 0.6938 30.6%

Ringshell 017 132.1 202.7 0.6519 34.8%

Ringshell 018 123.7 202.7 0.6104 39.0%

Ringshell 019 115.3 202.6 0.5693 43.1%

Ringshell 020 107.1 202.5 0.5287 47.1%

Ringshell 021 98.9 202.5 0.4885 51.1%

Ringshell 022 99.1 202.6 0.4890 51.1%

Ringshell 023 98.8 202.7 0.4874 51.3%

Ringshell 024 89.4 202.6 0.4415 55.9%

Ringshell 025 80.2 202.5 0.3962 60.4%

Ringshell 026 71.2 202.3 0.3518 64.8%

Ringshell 027 62.3 202.1 0.3082 69.2%

Ringshell 028 53.6 201.9 0.2656 73.4%

Ringshell 029 45.8 201.5 0.2272 77.3%

Ringshell 030 42.1 202.2 0.2080 79.2%

Ringshell 031 37.9 202.2 0.1877 81.2%

Ringshell 032 31.4 201.9 0.1557 84.4%

Ringshell 033 25.4 201.5 0.1261 87.4%

Global nsdAv


31/32

3.3.3.4 - Summary

3.3.3.5 - Resonance check

5 Somes Variables










Global nsdAv 1.05 0.9732 NO

1 F < 0.95 && F > 1.05 0.1477 OK

2 F < 0.95 && F > 1.05 0.0504 OK




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5.1 RingShells Variables

5.2 Segments Variables

RingShell DiamSup

idVar

Value Minimum Maximum

0 3.800 2.000 5.000

1 3.800 2.000 5.000

2 3.800 2.000 5.000

3 3.800 2.000 5.000

4 3.800 2.000 5.000

5 3.800 2.000 5.000

6 3.800 2.000 5.000

7 3.800 2.000 5.000

8 3.800 2.000 5.000

9 3.800 2.000 5.000

103.800 2.000 5.000

113.800 2.000 5.000

123.800 2.000 5.000

133.500 2.000 5.000

143.500 2.000 5.000

153.500 2.000 5.000

163.500 2.000 5.000

173.500 2.000 5.000

183.500 2.000 5.000

193.500 2.000 5.000

203.500 2.000 5.000

213.500 2.000 5.000

223.200 2.000 5.000

233.200 2.000 5.000

243.200 2.000 5.000

253.200 2.000 5.000

263.200 2.000 5.000

273.200 2.000 5.000

283.200 2.000 5.000

293.200 2.000 5.000

303.000 2.000 5.000313.000 2.000 5.000

323.000 2.000 5.000

333.000 2.000 5.000

RingShell DiamInf

idVar


1 3.800 2.000 5.000

2 3.800 2.000 5.000

3 3.800 2.000 5.000

4 3.800 2.000 5.000

5 3.800 2.000 5.000

6 3.800 2.000 5.000

7 3.800 2.000 5.000

8 3.800 2.000 5.000

9 3.800 2.000 5.000

103.800 2.000 5.000

113.800 2.000 5.000

123.800 2.000 5.000

133.800 2.000 5.000

143.500 2.000 5.000

153.500 2.000 5.000

163.500 2.000 5.000

173.500 2.000 5.000

183.500 2.000 5.000

193.500 2.000 5.000

203.500 2.000 5.000

213.500 2.000 5.000

223.500 2.000 5.000

233.200 2.000 5.000

243.200 2.000 5.000

253.200 2.000 5.000

263.200 2.000 5.000

273.200 2.000 5.000

283.200 2.000 5.000

293.200 2.000 5.000

303.200 2.000 5.000

313.000 2.000 5.000323.000 2.000 5.000

333.000 2.000 5.000

RingShell Thickness

idVar


0 0.07000 0.01000 0.1000

1 0.07000 0.01000 0.1000

2 0.07000 0.01000 0.1000

3 0.07000 0.01000 0.1000

4 0.07000 0.01000 0.1000

5 0.07000 0.01000 0.1000

6 0.07000 0.01000 0.1000

7 0.07000 0.01000 0.1000

8 0.07000 0.01000 0.1000

9 0.07000 0.01000 0.1000

10 0.07000 0.01000 0.1000

11 0.07000 0.01000 0.1000

12 0.07000 0.01000 0.1000

13 0.07000 0.01000 0.1000

14 0.07000 0.01000 0.1000

15 0.07000 0.01000 0.1000

16 0.07000 0.01000 0.1000

17 0.07000 0.01000 0.1000

18 0.07000 0.01000 0.1000

19 0.07000 0.01000 0.1000

20 0.07000 0.01000 0.1000

21 0.07000 0.01000 0.1000

22 0.07000 0.01000 0.1000

23 0.07000 0.01000 0.1000

24 0.07000 0.01000 0.1000

25 0.07000 0.01000 0.1000

26 0.07000 0.01000 0.1000

27 0.07000 0.01000 0.1000

28 0.07000 0.01000 0.1000

29 0.07000 0.01000 0.1000

30 0.07000 0.01000 0.100031 0.07000 0.01000 0.1000

32 0.07000 0.01000 0.1000

33 0.07000 0.01000 0.1000

RingShell Material

id Var Value

0 S235 JR

1 S235 JR

2 S235 JR

3 S235 JR

4 S235 JR

5 S235 JR

6 S235 JR

7 S235 JR

8 S235 JR

9 S235 JR

10 S235 JR

11 S235 JR

12 S235 JR

13 S235 JR

14 S235 JR

15 S235 JR

16 S235 JR

17 S235 JR18 S235 JR

19 S235 JR

20 S235 JR

21 S235 JR

22 S235 JR

23 S235 JR

24 S235 JR

25 S235 JR

26 S235 JR

27 S235 JR

28 S235 JR

29 S235 JR

30 S235 JR

31 S235 JR32 S235 JR

33 S235 JR

Segment Ring Id There's noSegment Ring Id enabled at all

Segment Ring Amount There's noSegment Ring Amount enabled atall

Segment Stiff Id There's noSegment Stiff Id enabled at all

Segment Stiff Amount There's noSegment Stiff Amount enabled atall

Segment Ring Disposition There'sno Segment Ring Dispositionenabled at all


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