一种针对概率与非概率混合结构可靠性的敏感性分析方法

中国机械工程 ›› 2013, Vol. 24 ›› Issue (19): 2577-2583.

一种针对概率与非概率混合结构可靠性的敏感性分析方法

姜潮1;李文学1;王彬1;周桂林2;刘雨祥2

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
2.株洲九方装备股份有限公司，株洲，412001

出版日期:2013-10-10 发布日期:2013-10-11
基金资助:
国家自然科学基金资助项目(51222502)；教育部新世纪优秀人才支持计划资助项目(NCET-11-0124)；全国优秀博士学位论文专项资金资助项目(201235)；湖南省自然科学创新研究群体基金资助项目(12JJ7001)
National Natural Science Foundation of China（No. 51222502）;
Program for New Century Excellent Talents in University of Ministry of Education of China（No. NCET-11-0124）

A Structural Reliability Sensitivity Analysis Method for Hybrid Uncertain Model with Probability and Non-probabilistic Variables

Jiang Chao1;Li Wenxue1;Wang Bin1;Zhou Guilin2;Liu Yuxiang2

1.State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body,Hunan University,Changsha,410082
2.Zhuzhou Gofront Equipment Co., Ltd.,Zhuzhou,Hunan,412001

Online:2013-10-10 Published:2013-10-11
Supported by:

National Natural Science Foundation of China（No. 51222502）;
Program for New Century Excellent Talents in University of Ministry of Education of China（No. NCET-11-0124）

摘要/Abstract

摘要：

基于概率与非概率混合不确定模型，提出了一种用于不确定结构的可靠度敏感性分析方法。混合不确定模型中，使用随机分布描述不确定性变量，并给定某些关键分布参数变化区间而非精确值，通过混合可靠性分析方法，获得结构可靠性指标或失效概率区间。给出了六种敏感性指标，定量描述了可靠性区间对区间分布参数的敏感程度。该方法被用于一悬臂梁结构及一实际车门结构的可靠性分析中。

关键词: 结构可靠性, 敏感性分析, 混合不确定性, 概率, 区间

Abstract:

Based on hybrid uncertain model, a new reliability sensitivity analysis technique was developed for uncertain structures. Random distributions were used to deal with the uncertainty, while some key parameters in the distribution functions were given variation intervals instead of precise values. Hybrid reliability model was employed to evaluate the reliability degree of an uncertain structure based on the reliability index approach(RIA). Six sensitivity indices were used for the sensitivity of the average reliability and reliability bounds with respect to the averages and widths of intervals. Equations of these sensitivity indices were derived. Two examples were used to demonstrate the accuracy and effectiveness of the proposed method.

Key words: structural reliability, sensitivity analysis, hybrid uncertain model, probability, interval

中图分类号:

TB114.3

姜潮1;李文学1;王彬1;周桂林2;刘雨祥2. 一种针对概率与非概率混合结构可靠性的敏感性分析方法[J]. 中国机械工程, 2013, 24(19): 2577-2583.

Jiang Chao1;Li Wenxue1;Wang Bin1;Zhou Guilin2;Liu Yuxiang2. A Structural Reliability Sensitivity Analysis Method for Hybrid Uncertain Model with Probability and Non-probabilistic Variables[J]. China Mechanical Engineering, 2013, 24(19): 2577-2583.

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