响应面法在结构可靠度分析中的应用研究  

Research on Application of Response Surface Method in Structural Reliability Analysis

作　　者：丁幼亮[1] 李爱群[1] 邓扬[1] 孙君[1] 

机构地区：[1]东南大学土木工程学院,南京210096

出　　处：《特种结构》2011年第2期12-16,共5页Special Structures

基　　金：国家高新技术研究发展技术(863计划)资助项目(2006AA04Z416);国家杰出青年基金资助项目(50725828)

摘　　要：响应面法可以应用于大型复杂结构隐式极限状态方程的可靠性分析,然而至今可靠度响应面法的计算精度仍是未完全得以解决的问题。本文分析了响应面法计算结构可靠度的实质,指出了已有可靠度响应面法研究中存在的认识误区,并揭示了可靠度响应面法计算误差的真正原因。在此基础上,提出了改进响应面法用以解决传统响应面法收敛失败和计算误差大的问题,算例结果证实了所提方法的有效性与精度。最后,指出了可靠度响应面法的进一步研究方向。The response surface method is a technique which can provide an efficient estimation of structural reliability for large and complex structural systems.However,the method fails to estimate the failure probability accurately in some problems with nonlinear limit state functions,this problem is not completely solved till now.In this paper,the essence of response surface method in structural reliability analysis is presented and some misunderstanding aspects of existing research are pointed out,the real reason of the calculation error of response surface method is also presented. Furthermore,the improved response surface method is presented to overcome the shortcomings of convergence failure and computation errors of the traditional response surface method.The advantage in the precision of the presenting method is verified by the illustrations.Finally,the direction for future research is pointed out.

关 键 词：可靠度 响应面法 失效概率 收敛失败 

分 类 号：TU311.2[建筑科学—结构工程]