基于复形法的结构可靠性指标求解方法  

Solving structural reliability index based on complex method

作　　者：夏雨[1] 龙嘉欣 余颖烨[1] 刘敬敏 XIA Yu;LONG Jiaxin;YU Yingye;LIU Jingmin(School of Civil Engineering and Architecture,Guangxi University of Science and Technology,Liuzhou 545006,China)

机构地区：[1]广西科技大学土木建筑工程学院,广西柳州545006

出　　处：《广西科技大学学报》2020年第1期71-76,共6页Journal of Guangxi University of Science and Technology

基　　金：国家自然科学基金项目(51569005);广西自然科学基金项目(2015GXNSFAA139279,2018GXNSFBA281186);广西高校中青年教师基础能力提升项目(KY2016YB258,2018KY0318);广西科技大学研究生教育创新计划项目(GKYC201711)资助.

摘　　要：为了解决在可靠度计算中涉及多维高阶数值计算的极限状态函数的梯度计算,首先使用单纯形法构造初始复形,然后对复形进行寻优迭代计算.通过此方法求解可靠性指标,无需计算极限状态函数的梯度,使计算变得更加简单.通过算例验证了此方法的效率和精度,同时通过工程实例也表明了此方法对实际工程具有一定的适用性.In order to solve the gradient calculation of limit state function which involves multi�dimensional and high-order numerical calculation in reliability calculation,the method in this paper is to use simplex method to construct the initial complex,and then carry out optimization and iterative calculation for the complex.The method in this paper can solve the reliability index without calculating the gradient of limit state function,which makes the calculation simpler.The efficiency and accuracy of this method are verified by an example.At the same time,the applicability of this method to practical engineering is also shown by an engineering example.

关 键 词：复形法 可靠性指标 单纯形法 

分 类 号：TU31[建筑科学—结构工程]