Chinese Journal of Theoretical and Applied Mechani ›› 2014, Vol. 46 ›› Issue (2): 264-272.DOI: 10.6052/0459-1879-13-190

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A TIME-VARIANT RELIABILITY ANALYSIS METHOD FOR NON-LINEAR LIMIT-STATE FUNCTIONS

Huang Xinping, Jiang Chao, Han Xu   

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, China
  • Received:2013-06-25 Revised:2013-07-18 Online:2014-03-23 Published:2013-09-12
  • Supported by:

    The project was supported by the National Natural Science Foundation of China (11172096), the National Natural Science Foundation of China-Science Foundation for Excellent Youth (51222502), Program for New Century Excellent Talents in University (NCET-11-0124), and the National Excellent Doctoral Dissertation Special Fund (201235).

Abstract:

Time-variant reliability problems appear in the engineering practice when loads stochastically change or the material properties of the structure deteriorate in time. In this paper, a time-variant structural reliability analysis method for non-linear limit-state function is presented. In this method, the stochastic process in the limit-state function is first discretized. Each discretized limit-state function is linearized at the most probable point (MPP), and it is further simplified into a time-invariant reliability analysis problem which is then solved by using the traditional first order reliability method (FORM). Three numerical examples are analyzed to demonstrate the effectiveness of the present method.

Key words:

time-variant reliability|most probable point|linearization|first order reliability method (FORM)

CLC Number: