Reliability analysis of stochastic structures based on probability density evolution method
  Revised:August 20, 2002
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DOI:10.7511/jslx20043052
KeyWord:stochastic structure,random loading,probability density evolution,service reliability
Chen Jianbing*  Li Jie
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Abstract:
      The probability density function of the stochastic structural response can be obtained by the probability density evolution method. The service reliability and the failure probability of the stochastic structure are then evaluated by direct integral according to the limit state condition. In the examples, the results computed by the proposed method are compared with the exact solution and the second-moment method. The investigations illustrate that the proposed method is of high accuracy whereas the widely applied second-moment method usually has deviation from the true solution and may even obtain misleading results particularly in the occasion that the failure probability is low.