一种求算结构可靠度指标的新方法  

A new method for calculating structural reliability index

作　　者：夏雨[1] 张泽俊 余颖烨[1] 刘敬敏 XIA Yu;ZHANG Ze-jun;YU Ying-ye;LIU Jing-min(School of Architecture and Civil Engineering,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,柳州545006

出　　处：《计算力学学报》2021年第2期140-145,共6页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(51569005);广西自然科学基金(2020JJA160008,2015GXNSFAA139279,2018GXNSFBA281186,桂科AD19110068,2019GXNSFBA245071);广西高校中青年教师基础能力提升项目(KY2016YB258,2018KY0318)资助项目

摘　　要：为解决结构功能函数在结构设计点附近非线性程度较高时,一次可靠度计算方法(如JC法)不收敛的问题,提出一种新的可靠度计算方法。该算法根据结构可靠指标的几何意义,先将迭代点靠近极限状态面,再通过在极限状态面上搜索下一迭代点,逐渐减小极限状态面上的点到标准正态空间中坐标原点的距离,从而达到收敛的目的。与其他方法相比,该方法不用选取算法参数,在计算效率和鲁棒性方面都有较好的优势,尤其在极限状态函数非线性强的情况下优势更为明显。In order to solve the problem that the primary reliability calculation method(such as JC method)does not converge when the nonlinearity of the structural function is high near the structural design point,a new reliability calculation method is proposed.According to the geometric meaning of the structural reliability index,the iteration point is first approached to the limit state surface,and then the next iteration point is searched on the limit state surface to gradually reduce the distance between the point on the limit state surface and the coordinate origin in the standard normal space,so as to achieve convergence.Compared with other methods,this method has better computational efficiency and robustness,especially in the case of strong non-linearity of the limit state function.

关 键 词：结构可靠度 可靠度指标 迭代算法 非线性 收敛性 

分 类 号：O213.2[理学—概率论与数理统计] O302[理学—数学]