基于改进可变容差法的结构可靠性分析方法

he 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.