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一种分析区间参数结构可靠性的减基快速计算方法
引用本文:张正,毕仁贵,李剑.一种分析区间参数结构可靠性的减基快速计算方法[J].计算力学学报,2017,34(1):76-80.
作者姓名:张正  毕仁贵  李剑
作者单位:吉首大学 物理与机电工程学院,吉首,416000
基金项目:国家自然科学基金(11402096;11662004);吉首大学校级科研(jsdxrcyjkyxm201209)资助项目
摘    要:将减基法与蒙特卡洛模拟结合,提出了一种快速计算区间不确定结构可靠性的方法。该方法分为离线和在线计算两个阶段,离线阶段利用减基法建立减基空间,进而形成减缩模型;而在线阶段则将减缩模型融入蒙特卡洛方法,进而快速求解区间失效概率及相应的区间参数失效域。该方法在减基空间而非有限元空间中分析区间结构的可靠性,减少了求解时间,提高了计算效率,通过算例验证了该方法的可行性和有效性。

关 键 词:减基法  区间可靠性  蒙特卡洛模拟  有限元法
收稿时间:2015/9/19 0:00:00
修稿时间:2016/3/15 0:00:00

A rapid reduced basis method for analysis of interval parameter structural reliability
ZHANG Zheng,BI Ren-gui,LI Jian.A rapid reduced basis method for analysis of interval parameter structural reliability[J].Chinese Journal of Computational Mechanics,2017,34(1):76-80.
Authors:ZHANG Zheng  BI Ren-gui  LI Jian
Institution:School of Physics and Mechanical & Electrical Engineering, Jishou University, Jishou 416000, China;School of Physics and Mechanical & Electrical Engineering, Jishou University, Jishou 416000, China;School of Physics and Mechanical & Electrical Engineering, Jishou University, Jishou 416000, China
Abstract:A rapid method is proposed for computing interval reliability of uncertain structures by combination of reduced basis method and Monte Carlo simulation.The method is divided into two parts off-line and on-line.In off-line part,the reduced space and reduced model are constructed using reduced basis method.Then in on-line part,the formed reduced model is incorporated into Monte Carlo simulation for efficiently computing the interval reliability and corresponding parameterized reliability region.This method can reduce computational time and improve efficiency,since it deals with interval reliability problem in reduced basis space rather than finite element space.The example in the paper illustrates feasibility and validity of this method.
Keywords:reduced basis method  interval reliability  Monte Carlo simulation  finite element method
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