基于响应面和蒙特卡罗法结构位移可靠度  

Reliability of structural displacement based on response surface and Monte Carlo method

作　　者：李远瑛[1] 张德生[1] 

机构地区：[1]嘉应学院土木工程学院,广东梅州514015

出　　处：《辽宁工程技术大学学报（自然科学版）》2011年第3期392-395,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：华南理工大学亚热带建筑科学国家重点实验室基金资助项目(2008ZC21);国家科技支撑计划子课题基金资助项目(2006BAJ01B07)

摘　　要：为了研究结构位移可靠度,以门式框架为例,利用MATLAB软件编制基于蒙特卡罗法、响应面法、响应面—蒙特卡罗法的计算程序,采用数值模拟方法对结构进行可靠度分析。得到结构的失效概率、可靠指标、结构最不利点水平位移的概率分布情况。计算结果表明:这几种方法计算结构的失效概率与文献[5]结果接近,但蒙特卡罗法的计算工作量大、时间最长,响应面法的计算时间最短。响应面—蒙特卡罗法、响应面—重要抽样蒙特卡罗法在较少样本的情况下可以达到较高的精度要求,且计算效率较高。本文基于MATLAB编制的可靠度模拟分析程序为复杂结构可靠度分析提供了参考。In order to understand the structural displacement reliability, this study uses a portal frame as an example to model the structural displacement and analyze its reliability by using the sotb, vare of MATLAB. The simulation programs are based on Monte Carlo method, the response surface method, and the response surface-Monte Carlo method. The structure failure probability, reliable indicators and the probability distribution of the most unfavorable horizontal displacement are obtained in this study. The results demonstrate that the structure failure probability obtained using the methods above are close to references [5]. However, the workload of Monte Carlo method is bigger and the calculation time is longer than that of other methods. The calculation time of the response surface method is the shortest. Moreover, the response surface-Monte-Carlo method, the response surface - important sampling Monte-Carlo method achieve a higher accuracy and efficiency with fewer samples. The reliability simulation analysis program based on MATLAB provides a useful reference for complex structure reliability analysis.

关 键 词：MATLAB 响应面 蒙特卡罗法 可靠度 结构位移 

分 类 号：TU311.2[建筑科学—结构工程]