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An iterative approach for time-domain flutter analysis of bridges based on restart technique

  • Zhang, Wen-ming (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Qian, Kai-rui (Key Laboratory of Concrete and Prestressed Concrete Structures of the Ministry of Education, Southeast University) ;
  • Xie, Lian (T. Y. Lin International Engineering Consulting (China) Co., Ltd) ;
  • Ge, Yao-jun (State Key Lab for Disaster Reduction in Civil Engineering, Tongji University)
  • Received : 2018.03.07
  • Accepted : 2018.09.07
  • Published : 2019.03.25

Abstract

This paper presents a restart iterative approach for time-domain flutter analysis of long-span bridges using the commercial FE package ANSYS. This approach utilizes the recursive formats of impulse-response-function expressions for bridge's aeroelastic forces. Nonlinear dynamic equilibrium equations are iteratively solved by using the restart technique in ANSYS, which enable the equilibrium state of system to get back to last moment absolutely during iterations. The condition for the onset of flutter instability becomes that, at a certain wind velocity, the amplitude of vibration is invariant with time. A long-span suspension bridge was taken as a numerical example to verify the applicability and accuracy of the proposed method by comparing calculated results with wind tunnel tests. The proposed method enables the bridge designers and engineering practitioners to carry out time-domain flutter analysis of bridges in commercial FE package ANSYS.

Keywords

Acknowledgement

Supported by : National Science Foundation of China, Natural Science Foundation of Jiangsu Province

References

  1. Agar, T.J.A. (1989), "Aerodynamic flutter analysis of suspension bridges by a modal technique", Eng. Struct., 11(2), 75-82. https://doi.org/10.1016/0141-0296(89)90016-3
  2. Caracoglia, L. and Jones, N.P. (2003), "Time domain vs frequency domain characterization of aeroelastic forces for bridge deck sections", J. Wind Eng. Ind. Aerod., 91(3), 371-402. https://doi.org/10.1016/S0167-6105(02)00399-9
  3. Chen, Z.Q., Han, Y., Hua, X.G. and Luo, Y.Z. (2009), "Investigation on influence factors of buffeting response of bridges and its aeroelastic model verification for Xiaoguan Bridge", Eng. Struct., 31(2), 417-431. https://doi.org/10.1016/j.engstruct.2008.08.016
  4. Ding, Q.S. (2001), "Refinement of coupled flutter and buffeting analysis for long-span bridges", Ph.D. Dissertation; Tongji University, Shanghai, P.R. China (in Chinese).
  5. Ding, Q.S., Chen, A.R. and Xiang, H.F. (2002), "Coupled flutter analysis of long-span bridges by multimode and fullorder approaches", J. Wind Eng. Ind. Aerod., 90(12-15), 1981-1993. https://doi.org/10.1016/S0167-6105(02)00315-X
  6. Dung, N. N., Miyata, T., Yamada, H. and Minh, N.N. (1998), "Flutter responses in long span bridges with wind induced displacement by the mode tracing method", J. Wind Eng. Ind. Aerod., 77-78, 367-379. https://doi.org/10.1016/S0167-6105(98)00157-3
  7. Ge, Y.J. and Tanaka, H. (2000), "Aerodynamic analysis of cablesupported bridge by multi-mode and full-mode approaches", J. Wind Eng. Ind. Aerod., 86(2-3), 123-153. https://doi.org/10.1016/S0167-6105(00)00007-6
  8. Ge, Y.J., Xu, L.S., Zhang, W.M. and Zhou, Z.Y. (2009), "Dynamic and aerodynamic characteristics of new suspension bridges with double main spans", Proceedings of the 7th Asia-Pacific Conference on Wind Engineering, Taipei, Taiwan.
  9. Han, Y., Liu, S.Q., Cai, C.S. and Li, C.G. (2015a), "Flutter stability of a long-span suspension bridge during erection", Wind Struct., 21(1), 41-61. https://doi.org/10.12989/was.2015.21.1.041
  10. Han, Y., Liu, S.Q., Cai, C.S., Zhang, J.R. Chen, S.R. and He, X.H., (2015b), "The influence of vehicles on the flutter stability of a long-span suspension bridge", Wind Struct., 20(2), 275-292. https://doi.org/10.12989/was.2015.20.2.275
  11. Hua, X.G. and Chen, Z.Q. (2008), "Full-order and multimode flutter analysis using ANSYS", Finite Elem. Anal. Des., 44(9-10), 537-551. https://doi.org/10.1016/j.finel.2008.01.011
  12. Hua, X.G., Chen, Z.Q., Ni, Y.Q. and Ko, J.M. (2007), "Flutter analysis of long-span bridges using ANSYS", Wind Struct., 10(1), 61-82. https://doi.org/10.12989/was.2007.10.1.061
  13. Jain, A., Jones, N.P. and Scanlan, R. H. (1996), "Coupled flutter and buffeting analysis of long-span bridges", J. Struct. Eng. - ASCE, 122(7), 716-725. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:7(716)
  14. Katsuchi, H., Jones, N.P. and Scanlan, R.H. (1999), "Multimode coupled flutter and buffeting analysis of the Akashi-Kaikyo Bridge", J. Struct. Eng. - ASCE, 125(1), 60-70. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:1(60)
  15. Katsuchi, H., Jones, N.P., Scanlan, R.H. and Akiyama, H. (1998), "Multi-mode flutter and buffeting analysis of the Akashi-Kaikyo bridge", J. Wind Eng. Ind. Aerod., 77-78, 431-441. https://doi.org/10.1016/S0167-6105(98)00162-7
  16. Li, Q.C. and Lin, Y.K. (1995), "New Stochastic theory for bridge stability in turbulent flow II", J. Eng. Mech., 121(1), 102-116. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:1(102)
  17. Lin, Y.K. and Li, Q.C. (1993), "New Stochastic theory for bridge stability in turbulent flow", J. Eng. Mech., 119(1), 113-128. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:1(113)
  18. Miyata, T. and Yamada, H. (1990), "Coupled flutter estimate of a suspension bridge", J. Wind Eng. Ind. Aerod., 33(1-2), 341-348. https://doi.org/10.1016/0167-6105(90)90049-I
  19. Namini, A., Albrecht, P. and Bosch, H. (1992), "Finite elementbased flutter analysis of cable-suspended bridges", J. Struct. Eng., 118(6), 1509-1526. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1509)
  20. Scanlan, R.H. (1978), "Action of flexible bridges under wind, 1: flutter theory", J. Sound Vib., 60(2), 187-199. https://doi.org/10.1016/S0022-460X(78)80028-5
  21. Starossek, U. (1998), "Complex notation in flutter analysis", J. Struct. Eng., 124(8), 975-977. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:8(975)
  22. Tanaka, H., Yamamura, N. and Tatsumi, M. (1992), "Coupled mode flutter analysis using flutter derivatives", J. Wind Eng. Ind. Aerod., 42(1-3), 1279-1290. https://doi.org/10.1016/0167-6105(92)90135-W
  23. Tang, H.J., Li, Y.L. and Shum, K.M. (2018), "Flutter performance of long-span suspension bridges under non-uniform inflow", Adv. Struct. Eng., 21(2), 201-213. https://doi.org/10.1177/1369433217713926
  24. Wang, H., Chen, C.C., Xing, C.X., Li, A.Q. (2014a), "Influence of structural parameters on dynamic characteristics and windinduced buffeting responses of a super-long-span cablestayed bridge", Earthq. Eng. Eng. Vib., 13(3), 389-399. https://doi.org/10.1007/s11803-014-0250-0
  25. Wang, H., Tao, T.Y., Zhou, R., Hua, X.G. and Kareem, A. (2014b), "Parameter sensitivity study on flutter stability of a long-span triple-tower suspension bridge", J. Wind Eng. Ind. Aerod., 128 (5), 12-21. https://doi.org/10.1016/j.jweia.2014.03.004
  26. Yang, D.C., Ge, Y.J., Xiang, H.F. and Ma, Z.G.J. (2011), "3D flutter analysis of cable supported bridges including aeroelastic effects of cables", Adv. Struct. Eng., 14(6), 1129-1147. https://doi.org/10.1260/1369-4332.14.6.1129
  27. Zhang, W.M., Ge, Y.J. and Levitan, M.L. (2011), "Aerodynamic flutter analysis of a new suspension bridge with double main spans", Wind Struct., 14(3), 187-208. https://doi.org/10.12989/was.2011.14.3.187
  28. Zhang, Z.T., Chen, Z.Q., Cai, Y.Y. and Ge, Y.J. (2011), "Indicial functions for bridge aeroelastic forces and time-domain flutter analysis", J. Bridge Eng., 16(4), 546-557. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000176

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