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一种概率-区间混合结构可靠性的高效计算方法
引用本文:姜潮,刘丽新,龙湘云.一种概率-区间混合结构可靠性的高效计算方法[J].计算力学学报,2013,30(5):605-609.
作者姓名:姜潮  刘丽新  龙湘云
作者单位:湖南大学 汽车车身先进设计制造国家重点实验室, 长沙 410082;湖南大学 汽车车身先进设计制造国家重点实验室, 长沙 410082;湖南大学 汽车车身先进设计制造国家重点实验室, 长沙 410082
基金项目:国家自然科学基金(11172096);国家重点基础研究发展计划(973)(2010CB832700);教育部新世纪优秀人才(NCET-11-0124);全国百篇优博专项基金(201235)资助项目.
摘    要:针对既有概率变量又有区间变量的混合不确定问题,构造了一种高效的结构可靠性分析方法。该方法将传统概率可靠性分析中的响应面方法引入混合模型的可靠性分析中,通过Bucher设计与梯度投影相结合的方法建立线性响应面,并采用一有效的解耦方法求解基于响应面建立的近似混合可靠性问题,通过迭代实现响应面更精确地近似真实极限状态函数。最后,通过两个算例验证了该算法的有效性。

关 键 词:结构可靠性  混合不确定性  概率  区间  响应面

An efficient reliability analysis method for structures with probability-interval mixed uncertainty
JIANG Chao,LIU Li-xin and LONG Xiang-yun.An efficient reliability analysis method for structures with probability-interval mixed uncertainty[J].Chinese Journal of Computational Mechanics,2013,30(5):605-609.
Authors:JIANG Chao  LIU Li-xin and LONG Xiang-yun
Institution:State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Changsha 410082, China;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Changsha 410082, China;State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Changsha 410082, China
Abstract:A high efficient method is proposed to deal with reliability analysis of hybrid structures with random and interval variables.Response surface method in the traditional probability reliability analysis is applied to the hybrid uncertainty problem,combined Bucher design with vector projection method,a linear response surface is constructed,and then an efficient decoupling approach is used to solve an approximate hybrid reliability model which is created based on the response surface,after several times iteration,response surface is sufficiently close to the exact limit state function.Numerical examples are provided to demonstrate the effectiveness of the present method.
Keywords:structural reliability  hybrid uncertainty  probability  interval  response surface
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