非线性结构系统可靠性理论及其模拟算法

系统阐述了非线性结构系统可靠性理论的主体框架和模拟算法,重点分析了全局分枝-约界法、快速概率积分法、响应面法、随机有限元法和Monte Carlo模拟法的主要优缺点,及其对强非线性问题和存在失效演化历程的复杂结构系统可靠性分析和评估问题的适应能力.在此基础上,对当前研究工作中存在的一些共同性问题进行了剖析,对将智能化方法引入非线性结构系统可靠性工程领域的可行性和具体实现途径进行了阐述.

A RELIABILITY THEORY AND SIMULATION ALGORITHM OF NONLINEAR STRUCTURAL SYSTEM

The principal frame and simulation algorithms of nonlinear structural system reliability theory is systematically introduced, and a brief analysis is made on the main advantages and disadvantages of some popular system reliability analysis method, such as fast probability integration method, response surface method, stochastic finite element method, Monte Carlo simulation method, etc. An investigation is made on which method is more suitable to strong nonlinear systems. On the basis of above works, some common questions existing in the nonlinear structural system reliability theory and applications are analyzed, and the way of introducing Bayesian decision, artificial neural networks and wavelets analysis to the field of nonlinear structural system reliability analysis is elucidated.