大连理工大学学报2018，Vol.58Issue(3)：269-276,8.DOI:10.7511/dllgxb201803007
基于代理模型的工程结构可靠性分析
Reliability analysis of engineering structure based on surrogate model
摘要
Abstract
In the reliability analysis of practical engineering structures,performance functions are generally complex and implicit functions with high nonlinearity,which makes the traditional methods of reliability analysis,such as the first-order second-moment,inefficient and inconvenient.Surrogate model can be a good alternative method to solve this problem.The computational efficiency and accuracy of the reliability analysis based on the quadratic polynomial response surface method (RSM) and Kriging method are compared by several numerical examples.Meanwhile,the strategies of accumulating all samples and selectively accumulating samples in the iteration of fitting surrogate model are studied.The examples show that RSM has difficulty in fitting the limit state surface with high degree of nonlinearity,while Kriging method performs well.Kriging method has advantage over RSM on both computational efficiency and accuracy.Therefore,Kriging method is used to carry out the reliability analysis of three structural examples.The results show that the iterative process may oscillate and cannot converge if samples are not accumulated.Sample accumulation can accelerate and stabilize the iteration,and accumulating samples selectively is better than accumulating all samples in terms of computational efficiency and accuracy.关键词
可靠性分析/响应面法/Kriging代理模型/样本累积Key words
reliability analysis/response surface method/Kriging surrogate model/sample accumulation分类
建筑与水利引用本文复制引用
易平,杨潍宁,谢东赤..基于代理模型的工程结构可靠性分析[J].大连理工大学学报,2018,58(3):269-276,8.基金项目
国家自然科学基金资助项目(51478086). （51478086）
