WEIGHTING IMPORTANCE SAMPLING METHOD FOR STRUCTURAL TIME-DEPENDENT FAILURE PROBABILITY FUNCTION ESTIMATION

QIAN YuGeng; YUAN XiuKai; CHEN JingQiang

doi:10.16579/j.issn.1001.9669.2023.06.016

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WEIGHTING IMPORTANCE SAMPLING METHOD FOR STRUCTURAL TIME-DEPENDENT FAILURE PROBABILITY FUNCTION ESTIMATION

更新时间：2024-06-07

- WEIGHTING IMPORTANCE SAMPLING METHOD FOR STRUCTURAL TIME-DEPENDENT FAILURE PROBABILITY FUNCTION ESTIMATION
- Journal of Mechanical Strength Vol. 45, Issue 6, Pages: 1387-1393(2023)
- 作者机构：
  
  厦门大学航空航天学院
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2023.06.016
  CLC： O212.1
- Published：15 December 2023，
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QIAN YuGeng, YUAN XiuKai, CHEN JingQiang. WEIGHTING IMPORTANCE SAMPLING METHOD FOR STRUCTURAL TIME-DEPENDENT FAILURE PROBABILITY FUNCTION ESTIMATION. [J]. Journal of Mechanical Strength 45(6):1387-1393(2023)
DOI：

QIAN YuGeng, YUAN XiuKai, CHEN JingQiang. WEIGHTING IMPORTANCE SAMPLING METHOD FOR STRUCTURAL TIME-DEPENDENT FAILURE PROBABILITY FUNCTION ESTIMATION. [J]. Journal of Mechanical Strength 45(6):1387-1393(2023) DOI： 10.16579/j.issn.1001.9669.2023.06.016.

摘要

参数时变失效概率函数(Time-Dependent Failure Probability Function

TDFPF)是结构时变可靠性优化设计的关键问题之一，其估计的精度与效率决定了结构时变可靠性优化的效果。针对时变失效概率函数计算成本高的问题，基于结构复合极限状态思想提出了基于加权重要抽样的结构时变失效概率函数估计策略。对于加权重要抽样进行扩展，仅需一次可靠性分析，即可得到时变失效概率函数的估计，避免了多次重复计算。为了验证所提方法的精度与效率，给出数值算例及工业机器人减速器结构时变算例。结果表明，对于时变失效概率函数估计问题，所提方法适用性好，能够以较高效率获得满意的结果。

Abstract

Time-dependent failure probability function(TDFPF) of parameters is one of the key problems of structural time-dependent reliability-based optimization. The accuracy and efficiency of TDFPF estimation determine the effect of time-dependent reliability-based optimization of structures. In this work

a weighted importance sampling (WIS) approach was proposed for theTDFPF estimation based on the concept of the composite limit states. The proposed method extends importance sampling to obtain the estimation of the TDFPF with only one reliability analysis

avoiding repeated reliability analyses. To verify the accuracy and efficiency of the proposed method

numerical examples and industrial robot reducer examples are given and solved by the proposed method. The results indicated that the proposed method has wide applicability

high efficiency in obtaining the satisfactory estimation of the TDFPF.

关键词

时变可靠性时变失效概率函数加权策略重要抽样法随机模拟

Keywords

Time-dependent reliabilityTime-dependent failure probability function (TDFPF)Weighting approachImportance sampling methodStochastic simulation

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