Structural reliability and its sensitivity analysis based on the saddlepoint approximation-line sampling method by dichotomy of golden section

Ganqing Zhang, Yanghui Xiang, Huixin Guo, Yonghong Nie

Abstract


In order to solve the structural reliability and its sensitivity of the implicit nonlinear performance function (PF)  the advantages of the saddlepoint approximation (SA) and line sampling (LS) are merged. Also, the merits of dichotomy and the solution efficiency of the golden section method are combined to propose the saddlepoint approximation-line sampling (SA-LS) method based on the dichotomy of the golden section point. This is complicated and changeable in the non normal variable space, which is a very hot issue of the present international study.  For each sample, it is quick to find its zeropoint in PF along the important line sampling direction by the  previously mentioned dichotomy so that the structural failure probability can be transformed into the mean of a series linear PFs failure probability, and the reliability sensitivity is just the derivative or partial one of the probability with respect to the relational variables. Examples show that the SA-LS method based on the dichotomy of the golden section point is of high precision and fast velocity in analyzing the structural reliability and sensitivity of the implicit nonlinear PF that are complicated and changeable in the non-normal variable space.

Keywords


saddlepoint approximation (SA); line sampling (LS); Golden section method; dichotomy; reliability sensitivity

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ISSN 1330-9587 (Print), ISSN 1849-0433 (Online)

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