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一种高效的概率-证据混合可靠性分析方法

姜潮 范松 张哲 倪冰雨

计算力学学报2016,Vol.33Issue(2):135-143,9.
计算力学学报2016,Vol.33Issue(2):135-143,9.DOI:10.7511/jslx201602001

一种高效的概率-证据混合可靠性分析方法

An efficient structural reliability anslysis method with both probability variable and evidence variable

姜潮 1范松 1张哲 1倪冰雨1

作者信息

  • 1. 湖南大学汽车车身先进设计制造国家重点实验室,长沙410082
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摘要

Abstract

An efficient reliability analysis method for structure has been proposed ,whose inputs consist of both probable variables and evidence variables .The method greatly reduces the computation cost of relia‐bility analysis with mixture of aleatory and epistemic uncertainty ,at the same time its result has high accuracy .In the method ,a uniformity approach is used to deal with evidence variables ,and then the con‐cept of most probable point (M PP) in probability theory is introduced to reliability analysis for hybrid model ,which has both aleatory and epistemic uncertainty .A first order Taylor expansion is expanded at M PP ,w hich is used for reliability analysis as approximation model instead of the original performance function .Finally ,three numerical examples are analyzed to demonstrate the effectiveness of the present method .

关键词

混合可靠性分析/概率模型/证据理论/可靠性区间

Key words

hybrid reliability/probability model/evidence theory/reliability interval

分类

通用工业技术

引用本文复制引用

姜潮,范松,张哲,倪冰雨..一种高效的概率-证据混合可靠性分析方法[J].计算力学学报,2016,33(2):135-143,9.

基金项目

国家自然科学基金(11172096);国家自然科学基金优秀青年科学基金(51222502);湖南省杰出青年基金(14JJ1016)资助项目. ()

计算力学学报

OA北大核心CSCDCSTPCD

1007-4708

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