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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
引用本文:姜潮,李文学,王彬,周桂林,刘雨祥.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.
作者姓名:姜潮  李文学  王彬  周桂林  刘雨祥
作者单位: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
基金项目: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)
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  

A Structural Reliability Sensitivity Analysis Method for Hybrid Uncertain Model with Probability and Non-probabilistic Variables
Jiang Chao,Li Wenxue,Wang Bin,Zhou Guilin,Liu Yuxiang.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.
Authors:Jiang Chao  Li Wenxue  Wang Bin  Zhou Guilin  Liu Yuxiang
Affiliation: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
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.
Keywords:structural reliability  sensitivity analysis  hybrid uncertain model  probability  interval  
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