基于响应面方法的结构非概率可靠性分析  

Analysis of Structural Non-probabilistic Reliability Based on Response Surface Method

作　　者：陈江义[1] 文尉超 王迎佳[1] 

机构地区：[1]郑州大学机械工程学院,河南郑州450001

出　　处：《郑州大学学报（工学版）》2015年第5期121-124,共4页Journal of Zhengzhou University（Engineering Science）

基　　金：河南省科技攻关重点资助项目(132102210107);河南省教育厅科学研究重点项目(13A460719)

摘　　要：响应面方法可以用来建立工程结构极限状态函数的显式数学表达式,而椭球模型和区间模型则是计算结构非概率可靠性指标的两种基本模型.笔者基于响应面方法,用二次多项式近似拟合结构的极限状态函数,然后分别采用椭球模型和区间模型对结构的非概率可靠性指标进行计算,最后以悬臂梁作为算例,对不同模型计算出的可靠性指标进行了比较.结果表明:在对结构进行非概率可靠性设计时,使用区间模型要比椭球模型更安全.Response surface method （RSM） is often employed to construct the explicit mathematical expression of the limit state function of engineering structure. And the non-probabilistic reliability of engineering structure can be evaluated by using two basic models which are ellipsoid model and interval model. Based on RSM, the quadratic polynomial is adopted to replace approximately the limit-state function in this paper. Then ellipsoid model and interval model are used to evaluate the non-probabilistic reliability of engineering structure. Finally, as a numerical example, the non-probabilistic reliability of a cantilever beam is analyzed and compared. The numerical result shows that interval model is safer than ellipsoid model for evaluation of the non-probabilistic reliability of structures.

关 键 词：非概率可靠性 椭球模型 区间模型 响应面方法 

分 类 号：TB114.3[理学—概率论与数理统计]