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Article Navigation >  Applied Mathematics and Mechanics  > 2005  >  26(9): 1055-1060
WANG Yan-ping, LÜ Zhen-zhou, YUE Zhu-feng. Reliability Analysis for Implicit Limit State Equation[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1055-1060.
Citation: WANG Yan-ping, LÜ Zhen-zhou, YUE Zhu-feng. Reliability Analysis for Implicit Limit State Equation[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1055-1060.
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Reliability Analysis for Implicit Limit State Equation

  • School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China

  • Received Date: 2003-08-25
  • Rev Recd Date: 2005-04-19
  • Publish Date: 2005-09-15
    Abstract
  • In order to obtain the failure probability of the implicit limit state equation accurately,advanced mean value second order(AMVSO)method was presented,and advanced mean value(AMV) in conjunction with the response surface method(RSM)was also presented.The implementations were constructed on the basis of the advanced mean value first order(AMVFO)method and the RSM. The examples show that the accuracy of the AMVSO is higher than that of the AMVFO.The results of the AMV in conjunction with the RSM are not sensitive to the positions of the sampling points for determining the response surface equation,which illustrates the robustness of the presented method.
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    • References(4)
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    Faravelli L.Response surface approach for variability analysis[J].J Engng Mech,Div,ASCE,1989,115(2)：2763—2781. doi: 10.1061/(ASCE)0733-9399(1989)115:12(2763)
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    Bucher C G,Bourgund U.A fast and efficient response surface approach for structural reliability problem[J].Structural Safety,1990,7(1)：57—66. doi: 10.1016/0167-4730(90)90012-E
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    Rajashekhar M R,Ellingwood B R.A new-look at the response surface approach for reliability analysis[J].Structural Safety,1993,12(3)：205—220. doi: 10.1016/0167-4730(93)90003-J
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    Wu Y T,Wirching P H. New algorithm for structural reliability estimations[J].J Engng Mech,Div ASCE,1987,113(9)：1319—1336. doi: 10.1061/(ASCE)0733-9399(1987)113:9(1319)
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