Smart Structures and Systems

  • 제10권2호
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  • Pages.89-110
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  • 2012
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Probabilistic optimal safety valuation based on stochastic finite element analysis of steel cable-stayed bridges

  • Han, Sung-Ho (Korean Intellectual Property Office) ;
  • Bang, Myung-Seok (Department of Safety Engineering, Korea National University of Transportation)
  • 투고 : 2011.04.09
  • 심사 : 2012.06.21
  • 발행 : 2012.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

This study was intended to efficiently perform the probabilistic optimal safety assessment of steel cable-stayed bridges (SCS bridges) using stochastic finite element analysis (SFEA) and expected life-cycle cost (LCC) concept. To that end, advanced probabilistic finite element algorithm (APFEA) which enables to execute the static and dynamic SFEA considering aleatory uncertainties contained in random variable was developed. APFEA is the useful analytical means enabling to conduct the reliability assessment (RA) in a systematic way by considering the result of SFEA based on linearity and nonlinearity of before or after introducing initial tensile force. The appropriateness of APFEA was verified in such a way of comparing the result of SFEA and that of Monte Carlo Simulation (MCS). The probabilistic method was set taking into account of analytical parameters. The dynamic response characteristic by probabilistic method was evaluated using ASFEA, and RA was carried out using analysis results, thereby quantitatively calculating the probabilistic safety. The optimal design was determined based on the expected LCC according to the results of SFEA and RA of alternative designs. Moreover, given the potential epistemic uncertainty contained in safety index, failure probability and minimum LCC, the sensitivity analysis was conducted and as a result, a critical distribution phase was illustrated using a cumulative-percentile.

키워드

참고문헌

  1. Achintya, H. and Sankaran, M. (2000), Reliability assessment using stochastic finite element analysis, John Wiley Inc., New York.
  2. Ang, A.H.S. (2006), "Practical assessments of risk and its uncertainty", Proceedings of the IFIP Workshop, Kobe, Japan.
  3. Ang, A.H.S. and Tang, W.H. (2007), Probability Concepts in Engineering, 2nd Ed., John Wiley Inc., New York.
  4. Chang, T.P. and Chang, H.C. (1994), "Stochastic dynamic finite element analysis of a nonuniform beam", Int. J. Solids Struct., 31(5), 587-597. https://doi.org/10.1016/0020-7683(94)90139-2
  5. Chakraborty, S. and Dey, S.S. (1998), "A stochastic finite element dynamic analysis of structures with uncertain parameters", Int. J. Mech. Sci., 40(11), 1071-1087. https://doi.org/10.1016/S0020-7403(98)00006-X
  6. Choi, C.K. and Noh, H.C. (1996), "Stochastic finite element analysis of plate structures by weighted integral method", Struct. Eng. Mech., 4(6), 703-715. https://doi.org/10.12989/sem.1996.4.6.703
  7. Chopra, A.K. (1995), Dynamics of structure: theory and applications to earthquake engineering, Prentice-Hall, Englewood Cliffs, NJ.
  8. Cho, T.J. and Kim, T.S. (2008), "Probabilistic risk assessment for the construction phases of a bridge construction based on finite element analysis", Finite. Elem. Anal. Des., 44(6-7), 383-400. https://doi.org/10.1016/j.finel.2007.12.004
  9. Cho, T.J., Kim, T.S., Lee, D.H., Han, S.H. and Choi, J.H. (2009), "Reliability analysis of a suspension bridge affected by hydrogen induced cracking based upon response surface method", ISIJ Int., 49(9), 1414-1423. https://doi.org/10.2355/isijinternational.49.1414
  10. Choi, H.H., Lee, S.Y., Choi, I.Y., Cho, H.N. and Mahadevan, S. (2006), "Reliability-based failure cause assessment of collapsed bridge during construction", Reliab. Eng. Syst. Safe., 91(6), 674-688. https://doi.org/10.1016/j.ress.2005.05.005
  11. Cornell, C.A. (1969), "A probability-based structural code", J. Am. Conc. Inst. ACI, 66(12), 974-985.
  12. Frangopol, D.M. and Lin, K.Y. (1997), "Life-cycle cost design of deteriorating structures", J. Struct. Eng.- ASCE, 123(10), 1390-1401. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:10(1390)
  13. Han, S.H. (2011), "A study on safety assessment of cable-stayed bridges based on stochastic finite element analysis and reliability analysis", KSCE J. Civ. Eng., 15(2), 205-315. https://doi.org/10.1007/s12205-011-0996-0
  14. Han, S.H. and Ang, A.H.S. (2008), "Optimal design of cable-stayed bridges based on minimum life-cycle cost", Proceedings of the Conference of '08 IABMAS, Seoul, Korea.
  15. Han, S.H. and Park, J.K. (2009), "Practical valuations on the effect of two type uncertainties for optimal design of cable-stayed bridges", Int. J. Steel Struct. IJOSS, 9(2), 143-152. https://doi.org/10.1007/BF03249489
  16. Han, S.H., Cho, H.N., Cho, T.J., Shin, S.W. and Kim, T.S. (2010), "Risk assessments of long-span bridges considering life-cycle cost concept and near-fault ground motion effect", Int. J. Steel Struct. IJOSS, 10(1), 51-63. https://doi.org/10.1007/BF03249511
  17. Hasofer, A.M. and Lind, N.C. (1974), "Exact and invariant second moment code format", J. Eng. Mech. Div. ASCE, 100(1), 111-121.
  18. Hwang, E.S. and Nowak, A.S. (1991), "Simulation of dynamic load for bridges", J. Struct. Eng.- ASCE, 117(5), 1413-1434. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:5(1413)
  19. Jennings, P.C. (1997), "Enduring lessons and opportunities lost from the San Fernando Earthquake of February 9, 1971", Earthq. Spectra, 13(1), 25-53. https://doi.org/10.1193/1.1585930
  20. Cheng, J. and Xiao, R.C. (2005), "Service reliability analysis of cable-stayed bridges", Struct. Eng. Mech., 20(6), 609-630. https://doi.org/10.12989/sem.2005.20.6.609
  21. Kleiber, M. and Hien, T.D. (1991), The stochastic finite method, John Wiley Inc., New York.
  22. Korea Institute of Construction Technology (KICT) (2000), A study on wind capacity improvement of long span bridges, Final Report.
  23. Korea's Ministry of Construction & Transportation (KMOCT) (2005), Highway bridge specification Koskito, O.J. and Ellingwood, B.R. (1997), "Reliability-based optimization of plant precast concrete structures", J. Struct. Eng.- ASCE, 123(3), 211-219.
  24. Lee, K.M., Cho, H.N., Choi, H.H. and An, H.J. (2006), "Lifetime reliability based life-cycle cost effective optimum design of orthotropic steel deck bridges", Int. J. Steel Struct. IJOSS, 6(5), 337-352.
  25. Lei, Z. and Qiu, C. (1998), "A dynamic stochastic finite element method based on dynamic constraint mode", Comput. Meth. Appl., 161(3-4), 245-255. https://doi.org/10.1016/S0045-7825(97)00319-8
  26. Li, G., Zhang, D. and Yue, Q. (2009), "Minimum life-cycle cost design of ice-resistant offshore platforms", Struct. Eng. Mech., 31(1), 11-24. https://doi.org/10.12989/sem.2009.31.1.011
  27. Faravelli, L., Ubertini, F. and Fuggini, C.(2011), "System identification of a super high-rise building via a stochastic subspace approach", Smart Struct. Syst., 7(2), 132-152.
  28. Noh, H.C. (2011). "Stochastic finite element anlaysis of composite plates considering spatial randomness of material properties and their correlations.", Steel Compos. Struct., 11(2), 115-130. https://doi.org/10.12989/scs.2011.11.2.115
  29. Nowak, A.S. and Collins, K.R. (2000), Reliability of structures, McGraw-Hill, New York.
  30. Rackwitz, R. and Fiessler, B. (1978), "Structural reliability under combined random load sequences", Comput. Struct., 9(5), 489-494. https://doi.org/10.1016/0045-7949(78)90046-9
  31. Rubinstein, R.Y. (1981), Simulation and the Monte Carlo method, John Wiley Inc., New York.
  32. Shooman, M.L. (1968), Probabilistic reliability: an engineering approach, McGraw-Hill, New York.
  33. Tabsh, S.W. and Nowak, A.S. (1991), "Reliability of highway girder bridges", J. Struct. Eng.- ASCE, 117(8), 2373- 2388.
  34. Wang, G.Q., Zhou, X.Y. and Ma, Z.J. (1999), "Corrected near-fault recordings caused by the 1999 Chi-Chi, Taiwan earthquake", B. Seismol. Soc. Am., 9(5), 1358-1369.
  35. 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
  36. Li, X. and Zhu, Y. (2010), "Stochastic space vibration analysis of a train-bridge coupling system", Inter. Multi. Mech., 3(4), 333-342. https://doi.org/10.12989/imm.2010.3.4.333

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