非线性结构体系可靠度的重要抽样方法  

Importance sampling method for structural systems with nonlinear failure surfaces

作　　者：陆立新[1] 吴斌[1] 欧进萍[1] 

机构地区：[1]哈尔滨工业大学土木工程学院

出　　处：《地震工程与工程振动》2004年第6期58-62,共5页Earthquake Engineering and Engineering Dynamics

基　　金：国家自然科学基金项目(59908002);哈尔滨工业大学科学研究基金项目(HIT200080)

摘　　要：最近S.K.AU与J.L.Beck提出了一种高效率的线性体系的重要抽样法。本文应用0方差抽样的概念对Au和Beck的方法进行了分析,然后在此基础上把Au和Beck的方法推广到具有非线性失效面的结构体系。应用本文提出的方法对3个算例进行了计算分析,抽样20次的结果与一般抽样法105～106次的结果非常接近,表明本文方法有很高的计算效率。The zero-variance technique is used to analyze a highly efficient importance sampling method developed by S.K.Au and J.L.Beck to calculate the failure probability of systems with linear failure surfaces. Base on the analysis, an importance sampling method is developed to solve the reliability problems of structural systems with nonlinear failure surface. The presented method is applied to three examples. The numerical results with the importance sampling method using 20 samples are very similar to those with the plain sampling method using 10^(5)～10^(6) samples, which shows the high efficiency of the presented method.

关 键 词：重要抽样法 体系可靠度 非线性失效面 

分 类 号：P315.96[天文地球—地震学]