Applied Mathematics and Mechanics

, Volume 26, Issue 9, pp 1158–1164 | Cite as

Reliability analysis for implicit limit state equation

  • Wang Yan-ping
  • Lü Zhen-zhou
  • Yue Zhu-feng


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.

Key words

reliability response surface method failure probability 

Chinese Library Classification


2000 Mathematics Subject Classification



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Faravelli L. Response surface approach for variability analysis [J].J Engng Mech, Div ASCE, 1989,115(2):2763–2781.CrossRefGoogle Scholar
  2. [2]
    Bucher C G, Bourgund U. A fast and efficient response surface approach for structural reliability problem [J].Structural Safety, 1990,7(1):57–66.CrossRefGoogle Scholar
  3. [3]
    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.CrossRefGoogle Scholar
  4. [4]
    Wu Y T, Wirching, P H. New algorithm for structural reliability estimations [J].J Engng Mech, Div ASCE, 1987,113(9):1319–1336.Google Scholar

Copyright information

© Editorial Committee of Appl. Math. Mech 2005

Authors and Affiliations

  • Wang Yan-ping
    • 1
  • Lü Zhen-zhou
    • 1
  • Yue Zhu-feng
    • 1
  1. 1.School of AeronauticsNorthwestern Polytechnical UniversityXi'anP. R. China

Personalised recommendations