Structural Engineering and Mechanics

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Application of inverse reliability method to estimation of cable safety factors of long span suspension bridges

  • Cheng, Jin (Department of Bridge Engineering, Tongji University) ;
  • Xiao, Ru-Cheng (Department of Bridge Engineering, Tongji University)
  • Received : 2005.08.08
  • Accepted : 2006.02.02
  • Published : 2006.05.30
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Abstract

An efficient and accurate algorithm is proposed to estimate cable safety factor of suspension bridges satisfying prescribed reliability levels. Uncertainties in the structure and load parameters are incorporated. The proposed algorithm integrates the concepts of the inverse reliability method and deterministic method for assessing cable safety factors of suspension bridges. The unique feature of the proposed method is that it offers a tool for cable safety assessment of suspension bridges, when the reliability level is specified as a target to be satisfied by the designer. After the accuracy and efficiency of the method are demonstrated through two numerical examples, the method is used to estimate cable safety factors of suspension bridges with span length ranging from 2000 to 5000 m. The results show that the deterministic method overestimates cable safety factor of suspension bridges because of neglecting the parameter uncertainty effects. The actual cable safety factor of suspension bridges should be estimated based on the proposed method.

Keywords

Acknowledgement

Supported by : National Nature Science Foundation of China

References

  1. Arco, D.C. and Aparicio, A.C. (2001), ' Preliminary static analysis of suspension bridges ', Eng. Struct., 23, 1096-1103 https://doi.org/10.1016/S0141-0296(01)00009-8
  2. Cremona, C. (2003), ' Probabilistic approach for cable residual strength assessment ', Eng. Struct., 25, 377-384 https://doi.org/10.1016/S0141-0296(02)00173-6
  3. 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)
  4. Fitzwater, L.M., Cornell,C.A. and Veers, P.S. (2003), ' Using environmental contours to predict extreme events on wind turbines ', Wind Energy Symposium, AIAA/ASME, 244-258
  5. Gimsing, N. (1997), Cable Supported Bridges: Concept and Design. New York, Wiley
  6. Haight, R.Q., Billington, D.P. and Khazem, D. (1997), ' Cable safety factors four suspension bridges ', J .Bridge Eng., ASCE, 2(4), 157-167 https://doi.org/10.1061/(ASCE)1084-0702(1997)2:4(157)
  7. Imai, K. (1999), ' Reliability analysis of geometrically nonlinear structures with application to suspension bridges ', Ph.D. Thesis, Department of Civil, Environmental, and Architectural Engineering, University of Colorado, Boulder, CO
  8. Li, H. and Foschi, R.O. (1998), ' An inverse reliability method and its application ', Structural Safety, 20, 257-270 https://doi.org/10.1016/S0167-4730(98)00010-1
  9. Li, Y.H., Bao, W.G, Guo, X.W and Cheng, X.Y. (1997), ' Structural reliability for highway bridges and probability-based limit state design ', People's Communication Press, Beijing (in Chinese)
  10. Matteo, J., Deodatis, G and Billington, D.P. (1994),' Safety analysis of suspension-bridge cables: Williamsburg bridge ', J. Struct. Eng., ASCE, 120(11), 3197-3211 https://doi.org/10.1061/(ASCE)0733-9445(1994)120:11(3197)
  11. Nowak, A.S., Szerszen, M.M. and Park, C.H. (1997),' Target safety levels for bridges ', Proc. of the Seventh Int. Conf. on Structural Safety and Reliability, Kyoto, Japan, 1897-1903
  12. Reid, S.G. (2002), ' Specification of design criteria based on probabilistic measures of design performance ',Structural Safety, 24, 333-345 https://doi.org/10.1016/S0167-4730(02)00030-9
  13. Saranyasoontorn, K. and Manuel, L. (2004), ' Efficient models for wind turbine extreme loads using inverse reliability ', J .Wind Engineering and Industrials Aerodynamics, 92, 789-804 https://doi.org/10.1016/j.jweia.2004.04.002
  14. 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 ', Proc. of the ICOSSAR-93, Innsbruck
  15. Xiang, H.E and Ge, Y.J. (2005), ' On aerodynamic limits to suspension bridges ', China Civil Eng. J., 38(1), 60-69

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