含多个非线性极限状态静定结构的失效概率评估新方法

NEW METHODS IN ASSESSING FAILURE PROBABILITY OF STATICALLY DETERMINATE STRUCTURE WITH MULTIPLE NONLINEAR LIMIT STATES

利用一阶简单边界和二阶窄边界理论分析静定结构失效概率评估问题,分析中给出一般正态随机变量变换为标准正态随机变量的方法以及线性无关化问题;研究非线性功能函数极限曲面的验算点迭代计算问题和线性化问题,提出一种牛顿迭代计算方法。该方法具有计算精度高、收敛速度快的特点,算例结果说明方法的可行性。

The first-order simple boundary and second order narrow boundary theory are used to study the failure probability assessment problem of the statically determinate structures. In the analysis, the transformation from the general normal random variables to the standard normal random variables and their linear independence transformation are given, and the check point iteration calculation problems of the nonlinear function limit surfaces are investigated, and the linearization problems of these nonlinear functions are also studied, and a new Newton iterative calculation method is proposed in this paper, this new method has high calculation precision and fast convergence rate, the results of given example shows the feasibility.