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Serviceability reliability analysis of cable-stayed bridges

  • Cheng, Jin (Department of Bridge Engineering, Tongji University) ;
  • Xiao, Ru-Cheng (Department of Bridge Engineering, Tongji University)
  • Received : 2004.03.23
  • Accepted : 2005.05.13
  • Published : 2005.08.20

Abstract

A reliability analysis method is proposed in this paper through a combination of the advantages of the response surface method (RSM), finite element method (FEM), first order reliability method (FORM) and the importance sampling updating method. The accuracy and efficiency of the method is demonstrated through several numerical examples. Then the method is used to estimate the serviceability reliability of cable-stayed bridges. Effects of geometric nonlinearity, randomness in loading, material, and geometry are considered. The example cable-stayed bridge is the Second Nanjing Bridge with a main span length of 628 m built in China. The results show that the cable sag that is part of the geometric nonlinearities of cable-stayed bridges has a major effect on the reliability of cable-stayed bridge. Finally, the most influential random variables on the reliability of cable-stayed bridges are identified by using a sensitivity analysis.

Keywords

References

  1. Aboul-ella, Fakhry (1988), 'Analysis of cable-stayed bridges supported by flexible towers', J. Struct. Eng., ASCE, 114(12), 2741-2753 https://doi.org/10.1061/(ASCE)0733-9445(1988)114:12(2741)
  2. Bjerager, Peter and Krenk, Steen (1989), 'Parametric sensitivity in first order reliability theory', J. Eng. Mech, 115(7), 1577-1582 https://doi.org/10.1061/(ASCE)0733-9399(1989)115:7(1577)
  3. Bruneau, Michel (1992), 'Evaluation of system-reliability methods for cable-stayed bridge design', J. Struct. Eng., ASCE, 118(4), 1106-1120 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:4(1106)
  4. Bucher, C.G and Bourgund, U. (1990), 'A fast and efficient response surface approach for structural reliability problems', Structural Safety, 7(1), 57-66 https://doi.org/10.1016/0167-4730(90)90012-E
  5. Cambier, Simon, Guihot, Pascal and Coffignal, Gerard (2002), 'Computational methods for accounting of structural uncertainties, applications to dynamic behavior prediction of piping systems', Structural Safety, 24, 29-50 https://doi.org/10.1016/S0167-4730(02)00016-4
  6. Chen, Tie-Bing (2000), 'Geometric and material nonlinear static analysis and reliability evaluation of cable-stayed bridges', Ph.D thesis, Tongji University, Shanghai, China, (in Chinese)
  7. Cheng, Jin (2000), 'Study on nonlinear aerostatic stability of cable-supported bridges', Ph.D thesis, Tongji University, Shanghai, China, (in Chinese)
  8. Cheng, Jin (2003), 'NASAB: A finite element software for the nonlinear aerostatic stability analysis of cable-supported bridges', Advances in Engineering Software, 34, 287-296 https://doi.org/10.1016/S0965-9978(03)00010-3
  9. Der Kiureghian, A., Lin, H.Z., and Hwang, S.J. (1987), 'Second-order reliability approximations', J. Eng. Mech., ASCE, 113(8), 1208-1225 https://doi.org/10.1061/(ASCE)0733-9399(1987)113:8(1208)
  10. Fleming, J.F. (1979), 'Nonlinear static analysis of cable-stayed bridge structures', Comput. Struct., 10(4), 621-635 https://doi.org/10.1016/0045-7949(79)90006-3
  11. Frangopol, Dan M. and Imai, Kiyohiro (2000), 'Geometrically nonlinear finite element reliability analysis of structural systems. II: Applications', Comput. Struct., 77, 693-709 https://doi.org/10.1016/S0045-7949(00)00011-0
  12. Guan, X.L. and Melchers, R.E. (1997), 'Multitangent-plane surface method for reliability calculation', J. Eng. Mech., ASCE, 123(10), 996-1002 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:10(996)
  13. Guan, X.L. and Melchers, R.E. (2001), 'Effect of response surface parameter variation on structural reliability estimates', Structural Safety, 23, 429-444 https://doi.org/10.1016/S0167-4730(02)00013-9
  14. Haldar, Achintya and Mahadevan, Sankaran (2000), Probability, Reliability and Statistical Methods in Engineering Design, John Wiley & Sons, New York
  15. Haldar, Achintya and Mahadevan, Sankaran (2000), Reliability Assessment Using Stochastic Finite Element Analysis, John Wiley & Sons, New York
  16. Harbitz, A. (1983), 'Efficient and accurate probability of failure calculation by use of the importance sampling technique', In: Proc. of the 4th Int. Conf. on App. of Statist. and Prob. in Soils and Struct. Eng., ICASP-4, Pitagora Editrice Bologna, 825-836
  17. Hegab, H.I.A. (1986), 'Static analysis of cable-stayed bridges', Proc. Instn Civ. Engrs, Part 2, 81, 497-510
  18. Highway Cable-stayed Bridge Design Specification in China (JTJ027-96), (1996), People's Communication Press, Beijing, (in Chinese)
  19. Hohenbichler, M. and Rackwitz, R. (1988), 'Improvement of second-order reliability estimates by importance sampling', J. Eng. Mech., 114(12), 2195-2199 https://doi.org/10.1061/(ASCE)0733-9399(1988)114:12(2195)
  20. Huh, Jungwon and Haldar, Achintya (2002), 'Seismic reliability of nonlinear frames with PR connections using systematic RSM', Probabilistic Eng. Mech., 17, 177-190 https://doi.org/10.1016/S0266-8920(02)00002-4
  21. Imai, K. and Frangopol, D.M. (2001), 'Reliability-based assessment of suspension bridges: Application to the Innoshima bridge', J. Bridge Eng, ASCE, 6(6), 398-411 https://doi.org/10.1061/(ASCE)1084-0702(2001)6:6(398)
  22. Imai, K. and Frangopol, D.M. (2002), 'System reliability of suspension bridges', Structural Safety, 24, 219-259 https://doi.org/10.1016/S0167-4730(02)00027-9
  23. Karamchandani, A., Bjerager, P. and Cornell, A.C. (1989), 'Adaptive importance sampling', Proc. of Int. Conf on Structural Safety and Reliability (ICOSSAR), San Francisco, CA, 855-862
  24. Karoumi, Raid (1999), 'Some modeling aspects in the nonlinear finite element analysis of cable supported bridges', Comput. Struct., 71, 397-412 https://doi.org/10.1016/S0045-7949(98)00244-2
  25. Liu, Pei-Ling and Der Kiureghian, A. (1991), 'Finite element reliability of geometrically nonlinear uncertain structures', J. Eng. Mech., ASCE, 117(8), 1806-1825 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:8(1806)
  26. Liu, Pei-Ling and Der Kiureghian, A. (1991), 'Optimization algorithms for structural reliability', Structural Safety, 9, 161-177 https://doi.org/10.1016/0167-4730(91)90041-7
  27. Liu, Ying Wei and Moses, Fred (1994), 'A sequential response surface method and its application in the reliability analysis of aircraft structural systems', Structural Safety, 16, 39-46 https://doi.org/10.1016/0167-4730(94)00023-J
  28. Nakai, H., Kitada, T., Ohminarmi, R. and Nishimura, T. (1985), 'Elastoplastic and finite displacement analysis of cable-stayed bridges', Mem. Fac. Engrg., Osaka University, 26, 251-271. (in English)
  29. Nazmy, A.S. and Abdel-Ghaffar, A.M. (1990), 'Three-dimensional nonlinear static analysis of cable-stayed bridges', Comput. Struct., 34(2), 257-271 https://doi.org/10.1016/0045-7949(90)90369-D
  30. Rackwitz, Rudiger (2001), 'Reliability analysis-A review and some perspectives', Structural Safety, 23, 365-395 https://doi.org/10.1016/S0167-4730(02)00009-7
  31. Rajashekhar, M.R. and Ellingwood, B.R. (1993), 'A new look at the response surface approach for reliability analysis', Structural Safety, 12(3), 205-220 https://doi.org/10.1016/0167-4730(93)90003-J
  32. Ren, Wei-Xin (1999), 'Ultimate behavior of long-span cable-stayed bridges', J. Bridge Eng., ASCE, 4(1), 30-37 https://doi.org/10.1061/(ASCE)1084-0702(1999)4:1(30)
  33. Seif, S.R and Dilger, W.H. (1990), 'Nonlinear analysis and collapse load of P/C cable-stayed bridges', J. Struct. Eng., ASCE, 116(3), 829-849 https://doi.org/10.1061/(ASCE)0733-9445(1990)116:3(829)
  34. Shinozuka, M. (1983), 'Basic analysis of structural safety', J. Struct. Eng., ASCE, 109(3), 721-740 https://doi.org/10.1061/(ASCE)0733-9445(1983)109:3(721)
  35. Tang, Man-Chung (2001), 'China's longest cable-stayed bridge - and the third longest in the world - has just opened to traffic in Nanjing', Bridge Design and Engineering, Second Quarter, 38-41
  36. Wang, P.H., Tseng, T.C. and Yang, C.G (1993), 'Initial shape of cable-stayed bridges', Comput. Struct., 46(6), 1095-1106 https://doi.org/10.1016/0045-7949(93)90095-U
  37. Xiang, Hai-Fan (1997), 'Wind-resistant study on 2nd Nanjing Bridge', Res. Rep. of Tongji University, Shanghai, China, (in Chinese)
  38. Zhao, GF. (1996), Reliability Theory and Its Applications for Engineering Structures, Dalian: Dalian University of Technology Press
  39. Zhao, Yan-Gang and Ono, Tetsuro (1999a), 'A general procedure for first/second-order reliability method (FORM/SORM)', Structural Safety, 21, 95-112 https://doi.org/10.1016/S0167-4730(99)00008-9
  40. Zhao, Yan-Gang and Ono, Tetsuro (1999b), 'New approximations for SORM: Part 2', J. Eng. Mech., ASCE, 125(1), 86-93 https://doi.org/10.1061/(ASCE)0733-9399(1999)125:1(86)
  41. Zhao, Yan-Gang and Ono, Tetsuro (2001), 'Moment methods for structural reliability', Structural Safety, 23, 47-75 https://doi.org/10.1016/S0167-4730(00)00027-8

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