基于改进可变容差法的结构可靠性分析方法  

Reliability of flexible tolerance method based on weight analysis

作　　者：夏雨[1] 汤峰 余颖烨[1] 经承贵 XIA Yu;TANG Feng;YU Yingye;JING Chenggui(School of Civil Engineering,Guangxi University of Science and Technology,545006 Liuzhou,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：《应用力学学报》2025年第1期117-124,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.51569005);广西自然科学基金资助项目(No.2020GXNSFAA297203,2015GXNSFAA139279,2018GXNSFBA281186,2019GXNSFBA245071,桂科AD19110068,桂科AD19245125)。

摘　　要：HL-RF(Hasofer-Lind and Rackwitz-Fiessler)法在处理高非线性结构功能函数时会出现振荡、不收敛的问题。可变容差法能够有效解决上述问题,但该方法的反射点选取缺乏方向引导性。针对此,该论文提出基于权重分析改进反射基点的可变容差法。该方法先计算非最差点到标准正态空间原点的距离,并增大距离原点更近的点的权重,由此增强反射基点的方向引导性,促使迭代点能更快靠近失效点。通过数值算例验证,本研究提出的方法能够有效解决反射点缺乏方向引导性问题,并且在求解速度上具有显著优势。The HL-RF(Hasofer-Lind and Rackwitz-Fiessler)method may cause oscillation and non-convergence when dealing with highly nonlinear structural function.The flexible tolerance method can solve the above problems effectively,but the selection of reflection points in this method is lack of direction guidance.For this reason,a flexible tolerance method based on weight analysis is proposed in this paper to improve the reflection base point.This method first calculates the distance from the non-worst squares to the origin of the standard normal space and increases the weight of the points closer to the origin.Thus,the direction guidance of the reflection base point is enhanced,and the iteration point can approach the failure point faster.Numerical examples show that the proposed method can effectively solve the problem of lack of direction guidance of reflection points,and has significant advantages in solving speed.

关 键 词：可靠度 可变容差法 权重分析 距离 方向引导性 

分 类 号：O213.2[理学—概率论与数理统计]