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Application of inverse reliability method to estimation of flutter safety factors of suspension bridges

  • Cheng, Jin (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Dong, Fenghui (Department of Bridge Engineering, Tongji University)
  • Received : 2016.09.26
  • Accepted : 2017.01.20
  • Published : 2017.03.25

Abstract

An efficient and accurate algorithm is proposed to estimate flutter safety factor of suspension bridges satisfying prescribed reliability levels. Uncertainties which arise from the basic wind speed at the bridge deck location, critical flutter velocity, the wind conversion factor from a scaled model to the prototype structure and the gust speed factor are incorporated. The proposed algorithm integrates the concepts of the inverse reliability method and the calculation method of the critical flutter velocity of suspension bridges. The unique feature of the proposed method is that it offers a tool for flutter safety assessment of suspension bridges, when the reliability level is specified as a target to be satisfied by the designer. Accuracy and efficiency of this method with reference to three example suspension bridges is studied and numerical results validate its superiority over conventional deterministic method. Finally, the effects of various parameters on the flutter safety factor of suspension bridges are also investigated.

Keywords

Acknowledgement

Supported by : Ministry of Science and Technology of China

References

  1. Cai, C.S. (1993), "Prediction of long-span bridges response to turbulent wind", Ph.D. dissertation, University of Maryland, College Park.
  2. CCCC Highway Consultants Co., Ltd. (2004), Wind-resistant Design Specifications for Highway Bridges (JTG/T D60-01-2004), People's Communications Press, Beijing, China.
  3. Chen, Z.Q. (2013), "Wind-induced Vibration, Stability and Control of Engineering Structures", Science Press, Beijing, China.
  4. Cheng, J., Jiang, J.J., Xiao, R.C. and Xiang, H.F. (2002), "Nonlinear aerostatic stability analysis of Jiang Yin suspension bridge", Eng. Struct., 24, 773-781. https://doi.org/10.1016/S0141-0296(02)00006-8
  5. Der Kiureghian, A., Zhang, Y. and Li, C.C. (1994), "Inverse reliability problem", J. Eng. Mech. - ASCE, 120 (5), 1154-1159. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:5(1154)
  6. Fitzwater, L.M., Cornell, C.A., and Veers, P.S. (2003), "Using environmental contours to predict extreme events on wind turbines", Wind. Energy. Symp., AIAA/ASME, 244-258.
  7. Ge, Y. J., Zhou, Z. and Xiang, H.F. (2003a), "Probabilistic reassessment and calibration for flutter instability of cable-supported bridges", Proceedings of the 11th International Conference on Wind Engineering, USA.
  8. Ge, Y.J. (2011), "Wind Resistance of Long Span Suspension Bridges", China Communications Press, Beijing, China.
  9. Ge, Y.J. and Xiang, H.F. (2008), "Recent development of bridge aerodynamics in China", J. Wind Eng. Ind. Aerod., 96, 736-768. https://doi.org/10.1016/j.jweia.2007.06.045
  10. Ge, Y.J., Xiang, H.F. and Tanaka, H. (2000), "Application of a reliability analysis model to bridge flutter under extreme winds", J. Wind Eng. Ind. Aerod., 86, 155-167. https://doi.org/10.1016/S0167-6105(00)00008-8
  11. Gu, M., Zhang, R.X. and Xiang, H.F. (2000), "Identification of flutter derivatives of bridge decks", J. Wind Eng. Ind. Aerod., 84, 151-162. https://doi.org/10.1016/S0167-6105(99)00051-3
  12. Han, Y., Liu, S.Q., Cai, C.S., Zhang, J.R., Chen, S.R. and He, X.H. (2015), "The influence of vehicles on the flutter stability of long-span suspension bridge", Wind Struct., 20(2), 275-292. https://doi.org/10.12989/was.2015.20.2.275
  13. Hassig, H.L. (1971), "An approximate true damping solution of the flutter equation by determinant iteration", J. Aircraft., 18(11), 876-880.
  14. Lau, D.T., Cheng, M.S. and Cheng, S.H. (2000), "3Dflutter analysis of bridges by spline finite-strip method", J. Struct. Eng.- ASCE, 126 (10), 1246-1254. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1246)
  15. Lee, I., Choi, K.K., Du, L. and Gorsich, D. (2008), "Inverse analysis method using MPP-based dimension reduction for reliability-based design optimization of nonlinear and multi-dimension systems", Comput. Method. Appl. M., 198, 12-27.
  16. Li, H. and Foschi, R.O. (1998), "An inverse reliability method and its application", Struct. Saf., 20, 257-270. https://doi.org/10.1016/S0167-4730(98)00010-1
  17. Namini, A., Albrecht, P. and Bosch, H. (1992), "Finite element-based flutter analysis of cable-suspended bridges", J. Struct. Eng.- ASCE, 118(6), 1509-1526 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:6(1509)
  18. Reid, S.G. (2002), "Specification of design criteria based on probabilistic measures of design performance", Struct. Saf., 24:333-345 https://doi.org/10.1016/S0167-4730(02)00030-9
  19. Saranyasoontorn, K. and Manuel, L. (2004), "Efficient models for wind turbine extreme loads using inverse reliability", J. Wind Eng. Ind. Aerod., 92, 789-804 https://doi.org/10.1016/j.jweia.2004.04.002
  20. Southwest Jiaotong University, (2007), "Test Study on Wind Resistant Performance of Fourth Nanjing Yangtze Bridge", Research Report of Southwest Jiaotong University, Chengdu, China.
  21. Wang, K., Liao, H.L. and Li, M.S. (2016), "Flutter suppression of long-span suspension bridge with truss girder", Wind Struct., 23(5), 405-420. https://doi.org/10.12989/was.2016.23.5.405
  22. Winterstein, S.R., Ude, T.C., Cornell, C.A., Bjerager, P. and Haver, S. (1993), "Environmental contours for extreme response: inverse FORM with omission factors", Proceedings of the ICOSSAR-93, Innsbruck.
  23. Xiang, Y.B. and Liu, Y.M. (2011), "Application of inverse first-order reliability method for probabilistic fatigue life prediction", Probabilist. Eng. Mech., 26, 148-156. https://doi.org/10.1016/j.probengmech.2010.11.001
  24. Xiao, R.C. and Cheng, J. (2004), "Advanced aerostatic stability analysis of suspension bridges", Wind Struct., 7(1), 55-77. https://doi.org/10.12989/was.2004.7.1.055
  25. Zhang, X., Sun, B., Pen, W. (2003), "Study on flutter characteristics of cable-supported bridges", J. Wind Eng. Ind. Aerod., 91, 841-854. https://doi.org/10.1016/S0167-6105(02)00477-4

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