Applied Mathematics and Mechanics

, Volume 28, Issue 1, pp 19–26 | Cite as

Advanced response surface method for mechanical reliability analysis

  • Lü Zhen-zhou  (吕震宙)Email author
  • Zhao Jie  (赵洁)
  • Yue Zhu-feng  (岳珠峰)


Based on the classical response surface method (RSM), a novel RSM using improved experimental points (EPs) is presented for reliability analysis. Two novel points are included in the presented method. One is the use of linear interpolation, from which the total EPs for determining the RS are selected to be closer to the actual failure surface; the other is the application of sequential linear interpolation to control the distance between the surrounding EPs and the center EP, by which the presented method can ensure that the RS fits the actual failure surface in the region of maximum likelihood as the center EPs converge to the actual most probable point (MPP). Since the fitting precision of the RS to the actual failure surface in the vicinity of the MPP, which has significant contribution to the probability of the failure surface being exceeded, is increased by the presented method, the precision of the failure probability calculated by RS is increased as well. Numerical examples illustrate the accuracy and efficiency of the presented method.

Key words

response surface method implicit limit state failure probability 

Chinese Library Classification


2000 Mathematics Subject Classification

65N05 90B25 


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Copyright information

© Editorial Committee of Appl. Math. Mech. 2007

Authors and Affiliations

  • Lü Zhen-zhou  (吕震宙)
    • 1
    Email author
  • Zhao Jie  (赵洁)
    • 1
  • Yue Zhu-feng  (岳珠峰)
    • 1
  1. 1.School of AeronauticsNorthwestern Polytechnical UniversityXi’anP. R. China

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