SBJ-33-C5-AMC-27-RE-110 15.08.2019 / 0 Page 126 of 126
10 Enclosures
The following documents are enclosed with this report:
Enclosure 1 Detailed results for ship collision, K12_06
Enclosure 2 10205546-11-NOT-076 AMC status 2 - Plastic capacity of column, rev 0 Enclosure 3 Verification of fracture criterion
Concept development, floating bridge E39 Bjørnafjorden
Appendix J – Enclosure 1
Ship collision simulations for the Bjørnafjorden
floating bridge Concept K12_06
Bjørnafjorden floating bridge Concept K12 06
Martin Storheim, Entail AS June 27, 2019
1
1 Introduction 7
2 Summary 9
2.1 Ship bow - pontoon collision . . . 9
2.2 Ship deck house - bridge girder collision . . . 11
3 Detailed results : Ship bow - pontoon collision 14 3.1 PontoonA3 0deg . . . 14
3.1.1 Overall response . . . 14
3.1.2 Envelope plots . . . 16
3.1.3 Time series . . . 25
3.2 PontoonA4 0deg . . . 32
3.2.1 Overall response . . . 32
3.2.2 Envelope plots . . . 34
3.2.3 Time series . . . 43
3.3 PontoonA5 0deg . . . 50
3.3.1 Overall response . . . 50
3.3.2 Envelope plots . . . 52
3.3.3 Time series . . . 61
3.4 PontoonA10 0deg . . . 68
3.4.1 Overall response . . . 68
3.4.2 Envelope plots . . . 70
3.4.3 Time series . . . 79
3.5 PontoonA20 0deg . . . 86
3.5.1 Overall response . . . 86
3.5.2 Envelope plots . . . 88
3.5.3 Time series . . . 97
3.6 PontoonA30 0deg . . . 104
3.6.1 Overall response . . . 104
3.6.2 Envelope plots . . . 106
3.6.3 Time series . . . 115
3.7 PontoonA38 0deg . . . 122
3.7.1 Overall response . . . 122
3.7.2 Envelope plots . . . 124
3.7.3 Time series . . . 133
3.8 PontoonA39 0deg . . . 140
3.8.1 Overall response . . . 140
3.8.2 Envelope plots . . . 142
3.8.3 Time series . . . 151
3.9 PontoonA40 0deg . . . 158
3.9.1 Overall response . . . 158
3.9.2 Envelope plots . . . 160
3.9.3 Time series . . . 169
3.10 PontoonA3 45deg . . . 176
3.10.1 Overall response . . . 176
3.10.2 Envelope plots . . . 178
3.10.3 Time series . . . 187
3.11 PontoonA4 45deg . . . 194
3.11.1 Overall response . . . 194
3.11.2 Envelope plots . . . 196
3.11.3 Time series . . . 205
3.12 PontoonA5 45deg . . . 212
3.12.1 Overall response . . . 212
3.12.2 Envelope plots . . . 214
3.12.3 Time series . . . 223
3.13 PontoonA10 45deg . . . 230
3.13.1 Overall response . . . 230
3.13.2 Envelope plots . . . 232
3.13.3 Time series . . . 241
3.14 PontoonA20 45deg . . . 248
3.14.1 Overall response . . . 248
3.14.2 Envelope plots . . . 250
3.14.3 Time series . . . 259
3.15 PontoonA30 45deg . . . 266
3.15.1 Overall response . . . 266
3.15.2 Envelope plots . . . 268
3.15.3 Time series . . . 277
3.16 PontoonA38 45deg . . . 284
3.16.1 Overall response . . . 284
3.16.2 Envelope plots . . . 286
3.16.3 Time series . . . 295
3.17 PontoonA39 45deg . . . 302
3.17.1 Overall response . . . 302
3.17.2 Envelope plots . . . 304
3.17.3 Time series . . . 313
3.18 PontoonA40 45deg . . . 320
3.18.1 Overall response . . . 320
3.18.2 Envelope plots . . . 322
3.18.3 Time series . . . 331
3.19 PontoonA3 80deg . . . 338
3.19.1 Overall response . . . 338
3.19.2 Envelope plots . . . 340
3.19.3 Time series . . . 349
3.20 PontoonA4 80deg . . . 356
3.20.1 Overall response . . . 356
3.20.2 Envelope plots . . . 358
3.20.3 Time series . . . 367
3.21 PontoonA5 80deg . . . 374
3.21.1 Overall response . . . 374
3.21.2 Envelope plots . . . 376
3.21.3 Time series . . . 385
3.22 PontoonA10 80deg . . . 392
3.22.1 Overall response . . . 392
3.22.2 Envelope plots . . . 394
3.22.3 Time series . . . 403
3.23 PontoonA20 80deg . . . 410
3.23.1 Overall response . . . 410
3.23.2 Envelope plots . . . 412
3.23.3 Time series . . . 421
3.24 PontoonA30 80deg . . . 428
3.24.1 Overall response . . . 428
3.24.2 Envelope plots . . . 430
3.24.3 Time series . . . 439
3.25 PontoonA38 80deg . . . 446
3.25.1 Overall response . . . 446
3.25.2 Envelope plots . . . 448
3.25.3 Time series . . . 457
3.26 PontoonA39 80deg . . . 464
3.26.1 Overall response . . . 464
3.26.3 Time series . . . 475
3.27 PontoonA40 80deg . . . 482
3.27.1 Overall response . . . 482
3.27.2 Envelope plots . . . 484
3.27.3 Time series . . . 493
3.28 PontoonA3 180deg . . . 500
3.28.1 Overall response . . . 500
3.28.2 Envelope plots . . . 502
3.28.3 Time series . . . 511
3.29 PontoonA4 180deg . . . 518
3.29.1 Overall response . . . 518
3.29.2 Envelope plots . . . 520
3.29.3 Time series . . . 529
3.30 PontoonA5 180deg . . . 536
3.30.1 Overall response . . . 536
3.30.2 Envelope plots . . . 538
3.30.3 Time series . . . 547
3.31 PontoonA10 180deg . . . 554
3.31.1 Overall response . . . 554
3.31.2 Envelope plots . . . 556
3.31.3 Time series . . . 565
3.32 PontoonA20 180deg . . . 572
3.32.1 Overall response . . . 572
3.32.2 Envelope plots . . . 574
3.32.3 Time series . . . 583
3.33 PontoonA30 180deg . . . 590
3.33.1 Overall response . . . 590
3.33.2 Envelope plots . . . 592
3.33.3 Time series . . . 601
3.34 PontoonA38 180deg . . . 608
3.34.1 Overall response . . . 608
3.34.2 Envelope plots . . . 610
3.34.3 Time series . . . 619
3.35 PontoonA39 180deg . . . 626
3.35.1 Overall response . . . 626
3.35.2 Envelope plots . . . 628
3.35.3 Time series . . . 637
3.36 PontoonA40 180deg . . . 644
3.36.1 Overall response . . . 644
3.36.2 Envelope plots . . . 646
3.36.3 Time series . . . 655
4 Detailed results : Ship deck house - bridge girder collision 662 4.1 Deck house A7-A8 0deg . . . 662
4.1.1 Overall response . . . 662
4.1.2 Envelope plots . . . 664
4.1.3 Time series . . . 673
4.2 Deck house A8-A9 0deg . . . 680
4.2.1 Overall response . . . 680
4.2.2 Envelope plots . . . 682
4.2.3 Time series . . . 691
4.3 Deck house A13-A14 0deg . . . 698
4.3.1 Overall response . . . 698
4.3.2 Envelope plots . . . 700
4.3.3 Time series . . . 709
4.4 Deck house A16-A17 0deg . . . 716
4.4.1 Overall response . . . 716
4.4.2 Envelope plots . . . 718
4.4.3 Time series . . . 727
4.5 Deck house A20-A21 0deg . . . 734
4.5.1 Overall response . . . 734
4.5.2 Envelope plots . . . 736
4.5.3 Time series . . . 745
4.6 Deck house A23-A24 0deg . . . 752
4.6.1 Overall response . . . 752
4.6.2 Envelope plots . . . 754
4.6.3 Time series . . . 763
4.7 Deck house A27-A28 0deg . . . 770
4.7.1 Overall response . . . 770
4.7.2 Envelope plots . . . 772
4.7.3 Time series . . . 781
4.8 Deck house A30-A31 0deg . . . 788
4.8.1 Overall response . . . 788
4.8.2 Envelope plots . . . 790
4.8.3 Time series . . . 799
4.9 Deck house A35-A36 0deg . . . 806
4.9.1 Overall response . . . 806
4.9.2 Envelope plots . . . 808
4.9.3 Time series . . . 817
4.10 Deck house A35-A36 0deg . . . 824
4.10.1 Overall response . . . 824
4.10.2 Envelope plots . . . 826
4.10.3 Time series . . . 835
4.11 Deck house A39-A40 0deg . . . 842
4.11.1 Overall response . . . 842
4.11.2 Envelope plots . . . 844
4.11.3 Time series . . . 853
4.12 Deck house A7-A8 180deg . . . 860
4.12.1 Overall response . . . 860
4.12.2 Envelope plots . . . 862
4.12.3 Time series . . . 871
4.13 Deck house A8-A9 180deg . . . 878
4.13.1 Overall response . . . 878
4.13.2 Envelope plots . . . 880
4.13.3 Time series . . . 889
4.14 Deck house A13-A14 180deg . . . 896
4.14.1 Overall response . . . 896
4.14.2 Envelope plots . . . 898
4.14.3 Time series . . . 907
4.15 Deck house A16-A17 180deg . . . 914
4.15.1 Overall response . . . 914
4.15.2 Envelope plots . . . 916
4.15.3 Time series . . . 925
4.16 Deck house A20-A21 180deg . . . 932
4.16.1 Overall response . . . 932
4.16.2 Envelope plots . . . 934
4.16.3 Time series . . . 943
4.17 Deck house A23-A24 180deg . . . 950
4.17.1 Overall response . . . 950
4.17.3 Time series . . . 961
4.18 Deck house A27-A28 180deg . . . 968
4.18.1 Overall response . . . 968
4.18.2 Envelope plots . . . 970
4.18.3 Time series . . . 979
4.19 Deck house A30-A31 180deg . . . 986
4.19.1 Overall response . . . 986
4.19.2 Envelope plots . . . 988
4.19.3 Time series . . . 997
4.20 Deck house A35-A36 180deg . . . 1004
4.20.1 Overall response . . . 1004
4.20.2 Envelope plots . . . 1006
4.20.3 Time series . . . 1015
4.21 Deck house A35-A36 180deg . . . 1022
4.21.1 Overall response . . . 1022
4.21.2 Envelope plots . . . 1024
4.21.3 Time series . . . 1033
4.22 Deck house A39-A40 180deg . . . 1040
4.22.1 Overall response . . . 1040
4.22.2 Envelope plots . . . 1042
4.22.3 Time series . . . 1051
1 Introduction
This report summarizes the ship collision simulations performed on the Bjørnafjorden floating bridge on concept K12 06 (end-anchored floating bridge). A global beam model of the floating bridge was established in the explicit nonlinear FE software LS-DYNA SMP s r9.1. The model includes all large structural elements, and is balanced with gravity loads, buoyancy and pretension in the cables. Fixed boundary conditons are given to the bridge girder along with the lower node of tower legs and supporting columns in the back span. The rotational flexibility of the bridge abutments has no consequence for the dynamic behavior of the bridge during a ship collision.
Note that at the moment the pretension in the cables are initialized in the complete bridge system, resulting in a force that pulls the floating bridge towards the cable-stayed bridge due to the pretension. Hence, the initial configuration of the bridge is somewhat different from the actual conditon.
Pontoons are included as rigid bodies with buoyancy applied as a draught-dependent load. Hydrostatic stiff- ness in roll and pitch are included as linear springs using the I44 and I55 spring stiffnesses as obtained from Wamit/Orcaflex simulations. Viscous drag damping in surge and sway is included as velocity-dependent vari- ables in nonlinear discrete dampers. Mooring stiffness is included as nonlinear springs, whereas mooring damping is included as a linear damping with coefficient 1M N/m/sfor each anchor group. This is likely below the actual values for the bridge mooring systems [1], and on the conservative side.
The local interaction between a deformable ship structure and the deformable bridge component was modelled with a nonlinear spring (Figure 1.1) calibrated to the force-indentation curves found from integrated analysis in LS-DYNA as presented by [2]. The spring allows release of the vessel after impact due to elastic rebound, which for local column forces may be non-conservative. However, the global bridge girder response is adequatly captured (see [3] for details).
0 2 4 6 8 10
Displacement [m]
0 10 20 30 40 50 60
Force [MN]
Deck house 0 deg Deck house 10 deg Pontoon
Figure 1.1: Applied nonlinear spring stiffness for the selected collision scenarios
Two sets of simulations were performed; impact from a ship bow to a pontoon and impact from a deckhouse structure to the bridge girder. A range of impact locations and heading relative to the bridge transverse axis were defined. The energies (initial mass and velocity along with a 10% added mass) were defined as in Table 1.
This report lists the main results.
Table 1: Revised ship collision scenarios as pr. updated design bases in Jan. 2019
CC 125m Displacement Velocity LOA Energy
w.o. added mass w. added mass
Element [tonne] [m/s] [m] [MJ] [MJ]
Bridge girder North (of Axis 23) 14855 5.8 139 250 275
Bridge girder South (of Axis 23) 21123 6.2 208 406 447
Pontoon, Axis 3 14565 5.7 140 237 261
Pontoon, Axis 4-5 13878 5.6 130 218 240
Pontoon, Axis 6-23 13259 5.5 130 201 221
Pontoon, Axis 24-35 10649 5.1 120 138 152
2 Summary
2.1 Ship bow - pontoon collision
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 150
100 50 0 50
Axial force [MN]
A3 0deg A4 0deg A5 0deg A10 0deg A20 0deg A30 0deg A38 0deg A39 0deg A40 0deg A3 45deg A4 45deg A5 45deg A10 45deg A20 45deg A30 45deg A38 45deg A39 45deg A40 45deg
A3 80deg A4 80deg A5 80deg A10 80deg A20 80deg A30 80deg A38 80deg A39 80deg A40 80deg A3 180deg A4 180deg A5 180deg A10 180deg A20 180deg A30 180deg A38 180deg A39 180deg A40 180deg
Figure 2.1: Bridgegirder : Axial force [MN]A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
15 10 5 0 5 10 15 20
Shear force weak axis [MN]
A3 0deg A4 0deg A5 0deg A10 0deg A20 0deg A30 0deg A38 0deg A39 0deg A40 0deg A3 45deg A4 45deg A5 45deg A10 45deg A20 45deg A30 45deg A38 45deg A39 45deg A40 45deg
A3 80deg
A4 80deg
A5 80deg
A10 80deg
A20 80deg
A30 80deg
A38 80deg
A39 80deg
A40 80deg
A3 180deg
A4 180deg
A5 180deg
A10 180deg
A20 180deg
A30 180deg
A38 180deg
A39 180deg
A40 180deg
Figure 2.2: Bridgegirder : Shear force weak axis [MN]A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 80
60 40 20 0 20 40 60 80
Shear force strong axis [MN]
A4 0deg A5 0deg A10 0deg A20 0deg A30 0deg A38 0deg A39 0deg A40 0deg A3 45deg A4 45deg A5 45deg A10 45deg A20 45deg A30 45deg A38 45deg A39 45deg A40 45deg
A4 80deg A5 80deg A10 80deg A20 80deg A30 80deg A38 80deg A39 80deg A40 80deg A3 180deg A4 180deg A5 180deg A10 180deg A20 180deg A30 180deg A38 180deg A39 180deg A40 180deg
Figure 2.3: Bridgegirder : Shear force strong axis [MN]A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 4
2 0 2 4
Bending moment strong axis [GNm]
A3 0deg A4 0deg A5 0deg A10 0deg A20 0deg A30 0deg A38 0deg A39 0deg A40 0deg A3 45deg A4 45deg A5 45deg A10 45deg A20 45deg A30 45deg A38 45deg A39 45deg A40 45deg
A3 80deg A4 80deg A5 80deg A10 80deg A20 80deg A30 80deg A38 80deg A39 80deg A40 80deg A3 180deg A4 180deg A5 180deg A10 180deg A20 180deg A30 180deg A38 180deg A39 180deg A40 180deg
Figure 2.4: Bridgegirder : Bending moment strong axis [GNm]A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 500
400 300 200 100 0 100 200 300
Bending moment weak axis [MNm]
A3 0deg A4 0deg A5 0deg A10 0deg A20 0deg A30 0deg A38 0deg A39 0deg A40 0deg A3 45deg A4 45deg A5 45deg A10 45deg A20 45deg A30 45deg A38 45deg A39 45deg A40 45deg
A3 80deg
A4 80deg
A5 80deg
A10 80deg
A20 80deg
A30 80deg
A38 80deg
A39 80deg
A40 80deg
A3 180deg
A4 180deg
A5 180deg
A10 180deg
A20 180deg
A30 180deg
A38 180deg
A39 180deg
A40 180deg
Figure 2.5: Bridgegirder : Bending moment weak axis [MNm]A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 100
50 0 50 100
Torsional moment [MNm]
A3 0deg A4 0deg A5 0deg A10 0deg A20 0deg A30 0deg A38 0deg A39 0deg A40 0deg A3 45deg A4 45deg A5 45deg A10 45deg A20 45deg A30 45deg A38 45deg A39 45deg A40 45deg
A3 80deg A4 80deg A5 80deg A10 80deg A20 80deg A30 80deg A38 80deg A39 80deg A40 80deg A3 180deg A4 180deg A5 180deg A10 180deg A20 180deg A30 180deg A38 180deg A39 180deg A40 180deg
Figure 2.6: Bridgegirder : Torsional moment [MNm]
2.2 Ship deck house - bridge girder collision
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 150
100 50 0 50
Axial force [MN]
A7-A8 0deg A8-A9 0deg A13-A14 0deg A16-A17 0deg A20-A21 0deg A23-A24 0deg A27-A28 0deg A30-A31 0deg A35-A36 0deg A35-A36 0deg A39-A40 0deg
A7-A8 180deg A8-A9 180deg A13-A14 180deg A16-A17 180deg A20-A21 180deg A23-A24 180deg A27-A28 180deg A30-A31 180deg A35-A36 180deg A35-A36 180deg A39-A40 180deg
Figure 2.7: Bridgegirder : Axial force [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
10 0 10 20
Shear force weak axis [MN]
A7-A8 0deg A8-A9 0deg A13-A14 0deg A16-A17 0deg A20-A21 0deg A23-A24 0deg A27-A28 0deg A30-A31 0deg A35-A36 0deg A35-A36 0deg A39-A40 0deg
A7-A8 180deg A8-A9 180deg A13-A14 180deg A16-A17 180deg A20-A21 180deg A23-A24 180deg A27-A28 180deg A30-A31 180deg A35-A36 180deg A35-A36 180deg A39-A40 180deg
Figure 2.8: Bridgegirder : Shear force weak axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 80
60 40 20 0 20 40 60
Shear force strong axis [MN]
A7-A8 0deg A8-A9 0deg A13-A14 0deg A16-A17 0deg A20-A21 0deg A23-A24 0deg A27-A28 0deg A30-A31 0deg A35-A36 0deg A35-A36 0deg A39-A40 0deg
A7-A8 180deg A8-A9 180deg A13-A14 180deg A16-A17 180deg A20-A21 180deg A23-A24 180deg A27-A28 180deg A30-A31 180deg A35-A36 180deg A35-A36 180deg A39-A40 180deg
Figure 2.9: Bridgegirder : Shear force strong axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 6
4 2 0 2 4 6
Bending moment strong axis [GNm]
A7-A8 0deg A8-A9 0deg A13-A14 0deg A16-A17 0deg A20-A21 0deg A23-A24 0deg A27-A28 0deg A30-A31 0deg A35-A36 0deg A35-A36 0deg A39-A40 0deg
A7-A8 180deg A8-A9 180deg A13-A14 180deg A16-A17 180deg A20-A21 180deg A23-A24 180deg A27-A28 180deg A30-A31 180deg A35-A36 180deg A35-A36 180deg A39-A40 180deg
Figure 2.10: Bridgegirder : Bending moment strong axis [GNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100 200
Bending moment weak axis [MNm]
A7-A8 0deg A8-A9 0deg A13-A14 0deg A16-A17 0deg A20-A21 0deg A23-A24 0deg A27-A28 0deg A30-A31 0deg A35-A36 0deg A35-A36 0deg A39-A40 0deg
A7-A8 180deg A8-A9 180deg A13-A14 180deg A16-A17 180deg A20-A21 180deg A23-A24 180deg A27-A28 180deg A30-A31 180deg A35-A36 180deg A35-A36 180deg A39-A40 180deg
Figure 2.11: Bridgegirder : Bending moment weak axis [MNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 200
150 100 50 0 50 100 150 200
Torsional moment [MNm]
A7-A8 0deg A8-A9 0deg A13-A14 0deg A16-A17 0deg A20-A21 0deg A23-A24 0deg A27-A28 0deg A30-A31 0deg A35-A36 0deg A35-A36 0deg A39-A40 0deg
A7-A8 180deg A8-A9 180deg A13-A14 180deg A16-A17 180deg A20-A21 180deg A23-A24 180deg A27-A28 180deg A30-A31 180deg A35-A36 180deg A35-A36 180deg A39-A40 180deg
Figure 2.12: Bridgegirder : Torsional moment [MNm]
3.1 PontoonA3 0deg
3.1.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 50 100 150 200 250
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.1: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 50 100 150 200 250
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.2: Energy [MJ]
0 1 2 3 4 5 Displacement
0 5 10 15 20 25 30
Force
Figure 3.3: Simulated local collision force-displacement
0 1000 2000 3000 4000 5000
Global X coordinate (North) [m]
1400 1200 1000 800 600 400 200 0 200
Global Y coordinate (West) [m]
Max 0.0 s 2.3 s
4.6 s 6.9 s
9.2 s 11.5 s
13.8 s 16.1 s
18.4 s 20.7 s
23.0 s 25.3 s
27.6 s 30.0 s Min
Figure 3.4: Bridgegirder deflection (10x displacment scaling)
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 400
200 0 200 400
Stress [MPa]
Axial force
Shear force weak axis Shear force strong axis Bending moment strong axis Bending moment weak axis Torsional moment von mises
Figure 3.5: Stress envelope from all force components
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 150
100 50 0 50
Axial force [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.6: P A3 0deg - bridgegirder : Axial force [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
15 10 5 0 5 10 15
Shear force weak axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.7: P A3 0deg - bridgegirder : Shear force weak axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 40
20 0 20 40
Shear force strong axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.8: P A3 0deg - bridgegirder : Shear force strong axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 3
2 1 0 1 2 3
Bending moment strong axis [GNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.9: P A3 0deg - bridgegirder : Bending moment strong axis [GNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100
Bending moment weak axis [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.10: P A3 0deg - bridgegirder : Bending moment weak axis [MNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 100
75 50 25 0 25 50
Torsional moment [MNm]
Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.11: P A3 0deg - bridgegirder : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
50 40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.12: P A3 0deg - columns bottom : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 1
0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.13: P A3 0deg - columns bottom : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.14: P A3 0deg - columns bottom : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
1250 1000 750 500 250 0 250
Bending moment roll [MNm]
Max Min
Figure 3.15: P A3 0deg - columns bottom : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
150 100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 3.16: P A3 0deg - columns bottom : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
75 50 25 0 25 50 75
Torsional moment [MNm]
Max Min
Figure 3.17: P A3 0deg - columns bottom : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
50 40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.18: P A3 0deg - columns top : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 1
0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.19: P A3 0deg - columns top : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.20: P A3 0deg - columns top : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
125 100 75 50 25 0 25 50 75
Bending moment roll [MNm]
Max Min
Figure 3.21: P A3 0deg - columns top : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
150 125 100 75 50 25 0 25 50
Bending moment pitch [MNm]
Max Min
Figure 3.22: P A3 0deg - columns top : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
100 75 50 25 0 25 50 75
Torsional moment [MNm]
Max Min
Figure 3.23: P A3 0deg - columns top : Torsional moment [MNm]
BW 18 BW 17 BW 16 BW 15 BW 14 BW 13 BW 12 BW 11 BW 10 BW 9 BW 8 BW 7 BW 6 BW 5 BW 4 BW 3 BW 2 BW 1 FW 1 FW 2 FW 3 FW 4 FW 5 FW 6 FW 7 FW 8 FW 9 FW 10 FW 11 FW 12 FW 13 FW 14 FW 15 FW 16 FW 17 FW 18 BE 18 BE 17 BE 16 BE 15 BE 14 BE 13 BE 12 BE 11 BE 10 BE 9 BE 8 BE 7 BE 6 BE 5 BE 4 BE 3 BE 2 BE 1 FE 1 FE 2 FE 3 FE 4 FE 5 FE 6 FE 7 FE 8 FE 9 FE 10 FE 11 FE 12 FE 13 FE 14 FE 15 FE 16 FE 17 FE 18
Axis ID 0
1 2 3 4 5 6
Axial force [MN]
Initial Max Min
Figure 3.24: P A3 0deg - cables : Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 200
150 100 50 0
Axial force [MN]
Max Min
Figure 3.25: P A3 0deg - tower: Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 4
2 0 2 4
Shear force longitudinal [MN]
Max Min
Figure 3.26: P A3 0deg - tower: Shear force longitudinal [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 20
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.27: P A3 0deg - tower: Shear force transverse [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 400
200 0 200 400
Bending moment roll [MNm]
Max Min
Figure 3.28: P A3 0deg - tower: Bending moment roll [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 100
50 0 50 100
Bending moment pitch [MNm]
Max Min
Figure 3.29: P A3 0deg - tower: Bending moment pitch [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 75
50 25 0 25 50 75
Torsional moment [MNm]
Max Min
Figure 3.30: P A3 0deg - tower: Torsional moment [MNm]
3.1.3 Time series
Note : Time series are filtered using a Saviotzky-Golay filter for increased readability of the time history plots.
Hence, maximum values that occur due to a rapid vibration are not shown in the plots. For maximum values, refer to the tabulated data.
All elements are numbered from South to North, bottom to top
0 20 40 60 80 100
Time [s]
40 20 0 20 40
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.31: P A3 0deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.10 0.05 0.00 0.05 0.10 0.15
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 3.32: P A3 0deg - bridgegirder @ pylon: Shear force weak axis [MN]
0 20 40 60 80 100 Time [s]
20 15 10 5 0 5 10
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 3.33: P A3 0deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
1 0 1 2 3
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 3.34: P A3 0deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
2 0 2 4
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.35: P A3 0deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
0 20 40 60 80 100 Time [s]
40 30 20 10 0 10 20
Torsional moment [MNm]
A2 elem 51 A2 elem 52
Figure 3.36: P A3 0deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
40 20 0 20 40 60
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.37: P A3 0deg - bridgegirder @abutments: Axial force [MN]
0 20 40 60 80 100 Time [s]
1.00 0.75 0.50 0.25 0.00 0.25 0.50 0.75
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.38: P A3 0deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.39: P A3 0deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
3 2 1 0 1 2
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.40: P A3 0deg - bridgegirder @abutments: Bending moment strong axis [GNm]
0 20 40 60 80 100 Time [s]
15 10 5 0 5 10
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.41: P A3 0deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.42: P A3 0deg - bridgegirder @abutments: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
30 25 20 15 10 5 0 5
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 3.43: P A3 0deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100
Time [s]
0.002 0.000 0.002 0.004 0.006
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 3.44: P A3 0deg - bridgegirder supports in tower: Change in length [m]
0 20 40 60 80 100 Time [s]
10 8 6 4 2 0 2 4 6
Resultant force [MN]
0 1 2
Figure 3.45: Mooring force
0 20 40 60 80 100
Time [s]
6 4 2 0 2 4 6
Change in length [m]
0 1 2
Figure 3.46: Mooring displacement
3.2.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 50 100 150 200 250
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.47: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 50 100 150 200 250
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.48: Energy [MJ]
0 1 2 3 4 5 Displacement
0 5 10 15 20 25 30
Force
Figure 3.49: Simulated local collision force-displacement
0 1000 2000 3000 4000 5000
Global X coordinate (North) [m]
1400 1200 1000 800 600 400 200 0 200
Global Y coordinate (West) [m]
Max 0.0 s 2.3 s
4.6 s 6.9 s
9.2 s 11.5 s
13.8 s 16.1 s
18.4 s 20.7 s
23.0 s 25.3 s
27.6 s 30.0 s Min
Figure 3.50: Bridgegirder deflection (10x displacment scaling)
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 400
200 0 200 400
Stress [MPa]
Axial force
Shear force weak axis Shear force strong axis Bending moment strong axis Bending moment weak axis Torsional moment von mises
Figure 3.51: Stress envelope from all force components
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 125
100 75 50 25 0 25 50
Axial force [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.52: P A4 0deg - bridgegirder : Axial force [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
15 10 5 0 5 10 15
Shear force weak axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.53: P A4 0deg - bridgegirder : Shear force weak axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 80
60 40 20 0 20 40 60
Shear force strong axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.54: P A4 0deg - bridgegirder : Shear force strong axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 3
2 1 0 1 2
Bending moment strong axis [GNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.55: P A4 0deg - bridgegirder : Bending moment strong axis [GNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100
Bending moment weak axis [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.56: P A4 0deg - bridgegirder : Bending moment weak axis [MNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 100
50 0 50 100
Torsional moment [MNm]
Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.57: P A4 0deg - bridgegirder : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
50 40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.58: P A4 0deg - columns bottom : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 1
0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.59: P A4 0deg - columns bottom : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.60: P A4 0deg - columns bottom : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
1250 1000 750 500 250 0 250 500
Bending moment roll [MNm]
Max Min
Figure 3.61: P A4 0deg - columns bottom : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
150 100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 3.62: P A4 0deg - columns bottom : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
100 50 0 50 100
Torsional moment [MNm]
Max Min
Figure 3.63: P A4 0deg - columns bottom : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
50 40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.64: P A4 0deg - columns top : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 2
1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.65: P A4 0deg - columns top : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.66: P A4 0deg - columns top : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
100 75 50 25 0 25 50 75
Bending moment roll [MNm]
Max Min
Figure 3.67: P A4 0deg - columns top : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
150 125 100 75 50 25 0 25 50
Bending moment pitch [MNm]
Max Min
Figure 3.68: P A4 0deg - columns top : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
100 50 0 50 100
Torsional moment [MNm]
Max Min
Figure 3.69: P A4 0deg - columns top : Torsional moment [MNm]
BW 18 BW 17 BW 16 BW 15 BW 14 BW 13 BW 12 BW 11 BW 10 BW 9 BW 8 BW 7 BW 6 BW 5 BW 4 BW 3 BW 2 BW 1 FW 1 FW 2 FW 3 FW 4 FW 5 FW 6 FW 7 FW 8 FW 9 FW 10 FW 11 FW 12 FW 13 FW 14 FW 15 FW 16 FW 17 FW 18 BE 18 BE 17 BE 16 BE 15 BE 14 BE 13 BE 12 BE 11 BE 10 BE 9 BE 8 BE 7 BE 6 BE 5 BE 4 BE 3 BE 2 BE 1 FE 1 FE 2 FE 3 FE 4 FE 5 FE 6 FE 7 FE 8 FE 9 FE 10 FE 11 FE 12 FE 13 FE 14 FE 15 FE 16 FE 17 FE 18
Axis ID 0
1 2 3 4 5 6
Axial force [MN]
Initial Max Min
Figure 3.70: P A4 0deg - cables : Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 200
150 100 50 0
Axial force [MN]
Max Min
Figure 3.71: P A4 0deg - tower: Axial force [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 4
2 0 2 4
Shear force longitudinal [MN]
Max Min
Figure 3.72: P A4 0deg - tower: Shear force longitudinal [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 20
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.73: P A4 0deg - tower: Shear force transverse [MN]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 400
200 0 200 400
Bending moment roll [MNm]
Max Min
Figure 3.74: P A4 0deg - tower: Bending moment roll [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 200
100 0 100 200
Bending moment pitch [MNm]
Max Min
Figure 3.75: P A4 0deg - tower: Bending moment pitch [MNm]
lowerleg_E 0 lowerleg_E 1 lowerleg_E 2 lowerleg_E 3 lowerleg_E 4 lowerleg_E 5 lowerleg_E 6 lowerleg_E 7 lowerleg_W 8 lowerleg_W 9 lowerleg_W 10 lowerleg_W 11 lowerleg_W 12 lowerleg_W 13 lowerleg_W 14 lowerleg_W 15 upperleg_E 16 upperleg_E 17 upperleg_E 18 upperleg_E 19 upperleg_E 20 upperleg_E 21 upperleg_E 22 upperleg_E 23 upperleg_E 24 upperleg_E 25 upperleg_E 26 upperleg_E 27 upperleg_E 28 upperleg_E 29 upperleg_E 30 upperleg_E 31 upperleg_W 32 upperleg_W 33 upperleg_W 34 upperleg_W 35 upperleg_W 36 upperleg_W 37 upperleg_W 38 upperleg_W 39 upperleg_W 40 upperleg_W 41 upperleg_W 42 upperleg_W 43 upperleg_W 44 upperleg_W 45 upperleg_W 46 upperleg_W 47 crossbeam_E 48 crossbeam_W 49
crown 50 crown 51 crown 52 crown 53 crown 54 crown 55 crown 56 crown 57
Element number 100
50 0 50 100
Torsional moment [MNm]
Max Min
Figure 3.76: P A4 0deg - tower: Torsional moment [MNm]
3.2.3 Time series
Note : Time series are filtered using a Saviotzky-Golay filter for increased readability of the time history plots.
Hence, maximum values that occur due to a rapid vibration are not shown in the plots. For maximum values, refer to the tabulated data.
All elements are numbered from South to North, bottom to top
0 20 40 60 80 100
Time [s]
30 20 10 0 10 20 30
Axial force [MN]
A2 elem 51 A2 elem 52
Figure 3.77: P A4 0deg - bridgegirder @ pylon: Axial force [MN]
0 20 40 60 80 100
Time [s]
0.15 0.10 0.05 0.00 0.05 0.10 0.15
Shear force weak axis [MN]
A2 elem 51 A2 elem 52
Figure 3.78: P A4 0deg - bridgegirder @ pylon: Shear force weak axis [MN]
0 20 40 60 80 100 Time [s]
20 15 10 5 0 5 10
Shear force strong axis [MN]
A2 elem 51 A2 elem 52
Figure 3.79: P A4 0deg - bridgegirder @ pylon: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
1.5 1.0 0.5 0.0 0.5 1.0 1.5 2.0 2.5
Bending moment strong axis [GNm]
A2 elem 51 A2 elem 52
Figure 3.80: P A4 0deg - bridgegirder @ pylon: Bending moment strong axis [GNm]
0 20 40 60 80 100
Time [s]
3 2 1 0 1 2 3
Bending moment weak axis [MNm]
A2 elem 51 A2 elem 52
Figure 3.81: P A4 0deg - bridgegirder @ pylon: Bending moment weak axis [MNm]
0 20 40 60 80 100 Time [s]
30 20 10 0 10 20
Torsional moment [MNm]
A2 elem 51 A2 elem 52
Figure 3.82: P A4 0deg - bridgegirder @ pylon: Torsional moment [MNm]
0 20 40 60 80 100
Time [s]
30 20 10 0 10 20 30 40 50
Axial force [MN]
Abutment elem 0 Abutment elem 699
Figure 3.83: P A4 0deg - bridgegirder @abutments: Axial force [MN]
0 20 40 60 80 100 Time [s]
0.5 0.0 0.5 1.0 1.5
Shear force weak axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.84: P A4 0deg - bridgegirder @abutments: Shear force weak axis [MN]
0 20 40 60 80 100
Time [s]
15 10 5 0 5 10 15
Shear force strong axis [MN]
Abutment elem 0 Abutment elem 699
Figure 3.85: P A4 0deg - bridgegirder @abutments: Shear force strong axis [MN]
0 20 40 60 80 100
Time [s]
2 1 0 1 2
Bending moment strong axis [GNm]
Abutment elem 0 Abutment elem 699
Figure 3.86: P A4 0deg - bridgegirder @abutments: Bending moment strong axis [GNm]
0 20 40 60 80 100 Time [s]
20 15 10 5 0 5 10
Bending moment weak axis [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.87: P A4 0deg - bridgegirder @abutments: Bending moment weak axis [MNm]
0 20 40 60 80 100
Time [s]
10 5 0 5 10
Torsional moment [MNm]
Abutment elem 0 Abutment elem 699
Figure 3.88: P A4 0deg - bridgegirder @abutments: Torsional moment [MNm]
0 20 40 60 80 100 Time [s]
25 20 15 10 5 0 5
Resultant force [MN]
Trans. East Trans. West Vert. East Vert. West
Figure 3.89: P A4 0deg - bridgegirder supports in tower: Resultant force [MN]
0 20 40 60 80 100
Time [s]
0.003 0.002 0.001 0.000 0.001 0.002 0.003 0.004 0.005
Change in length [m]
Trans. East Trans. West Vert. East Vert. West
Figure 3.90: P A4 0deg - bridgegirder supports in tower: Change in length [m]
0 20 40 60 80 100 Time [s]
10 8 6 4 2 0 2 4 6
Resultant force [MN]
0 1 2
Figure 3.91: Mooring force
0 20 40 60 80 100
Time [s]
4 2 0 2 4 6
Change in length [m]
0 1 2
Figure 3.92: Mooring displacement
3.3.1 Overall response
0 5 10 15 20 25 30
Time [s]
0 50 100 150 200 250
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.93: Energy [MJ] - initial phase
0 20 40 60 80 100
Time [s]
0 50 100 150 200 250
Energy [MJ]
Kinetic ship Kinetic bridge Internal bridge Local collision Viscous damping Mooring damping Mooring stiffness
Figure 3.94: Energy [MJ]
0 1 2 3 4 5 Displacement
0 5 10 15 20 25 30
Force
Figure 3.95: Simulated local collision force-displacement
0 1000 2000 3000 4000 5000
Global X coordinate (North) [m]
1400 1200 1000 800 600 400 200 0 200
Global Y coordinate (West) [m]
Max 0.0 s 2.3 s
4.6 s 6.9 s
9.2 s 11.5 s
13.8 s 16.1 s
18.4 s 20.7 s
23.0 s 25.3 s
27.6 s 30.0 s Min
Figure 3.96: Bridgegirder deflection (10x displacment scaling)
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100 200 300
Stress [MPa]
Axial force
Shear force weak axis Shear force strong axis Bending moment strong axis Bending moment weak axis Torsional moment von mises
Figure 3.97: Stress envelope from all force components
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 125
100 75 50 25 0 25
Axial force [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.98: P A5 0deg - bridgegirder : Axial force [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 20
15 10 5 0 5 10 15
Shear force weak axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.99: P A5 0deg - bridgegirder : Shear force weak axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 40
20 0 20 40
Shear force strong axis [MN]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.100: P A5 0deg - bridgegirder : Shear force strong axis [MN]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 3
2 1 0 1 2
Bending moment strong axis [GNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.101: P A5 0deg - bridgegirder : Bending moment strong axis [GNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 300
200 100 0 100
Bending moment weak axis [MNm]
Max Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.102: P A5 0deg - bridgegirder : Bending moment weak axis [MNm]
A1A1-A A1-B A1-D A1-E A2 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 A41
Axis ID 75
50 25 0 25 50 75
Torsional moment [MNm]
Timestep 0.0 s Timestep 2.3 s Timestep 4.6 s Timestep 6.9 s Timestep 9.2 s Timestep 11.5 s Timestep 13.8 s Timestep 16.1 s Timestep 18.4 s Timestep 20.7 s Timestep 23.0 s Timestep 25.3 s Timestep 27.6 s Timestep 30.0 s Min
Figure 3.103: P A5 0deg - bridgegirder : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
50 40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.104: P A5 0deg - columns bottom : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 3
2 1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.105: P A5 0deg - columns bottom : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.106: P A5 0deg - columns bottom : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
1200 1000 800 600 400 200 0 200 400
Bending moment roll [MNm]
Max Min
Figure 3.107: P A5 0deg - columns bottom : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
150 100 50 0 50 100
Bending moment pitch [MNm]
Max Min
Figure 3.108: P A5 0deg - columns bottom : Bending moment pitch [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
200 100 0 100 200
Torsional moment [MNm]
Max Min
Figure 3.109: P A5 0deg - columns bottom : Torsional moment [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
50 40 30 20 10 0
Axial force [MN]
Max Min
Figure 3.110: P A5 0deg - columns top : Axial force [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40
Axis ID 3
2 1 0 1 2 3 4
Shear force longitudinal [MN]
Max Min
Figure 3.111: P A5 0deg - columns top : Shear force longitudinal [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
10 0 10 20 30
Shear force transverse [MN]
Max Min
Figure 3.112: P A5 0deg - columns top : Shear force transverse [MN]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
150 100 50 0 50 100
Bending moment roll [MNm]
Max Min
Figure 3.113: P A5 0deg - columns top : Bending moment roll [MNm]
BCE1 BCE2 BCE3 BCE4 BCE5 A3 A4 A5 A6 A7 A8 A9 A10 A11 A12 A13 A14 A15 A16 A17 A18 A19 A20 A21 A22 A23 A24 A25 A26 A27 A28 A29 A30 A31 A32 A33 A34 A35 A36 A37 A38 A39 A40 Axis ID
150 100 50 0 50
Bending moment pitch [MNm]
Max Min
Figure 3.114: P A5 0deg - columns top : Bending moment pitch [MNm]
