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常用结构可靠性计算的方法包括有蒙特卡洛模拟法,响应面法等。大多数方法在计算时必须采用有限元理论,并进行基于Monte carlo抽样仿真,以研究多种不确定因素的影响下结构的可靠性。因此文中提出了一种基于kriging理论建模和遗传算法求解的模拟数值可靠性分析方法,通过采用重要抽样方法以减少抽样仿真次数,并利用kriging模型的高效预测建立结构的状态功能函数,在此基础上,应用遗传算法计算结构可靠性指标。将此方法用于典型框架结构可靠度分析的实例,表明了该方法的有效性和较高的计算效率。
Common structural reliability calculation methods include Monte Carlo simulation method, response surface method. Most of the methods must be based on finite element theory and Monte Carlo-based sampling simulations to study the structural reliability under the influence of various uncertainties. Therefore, this paper presents a simulation based on kriging theory and genetic algorithm to solve numerical reliability analysis method, through the use of important sampling methods to reduce the number of sampling and simulation, and the use of kriging model of high-performance prediction of state structure function, in this Based on the application of genetic algorithm to calculate the structural reliability index. The method is applied to the reliability analysis of a typical frame structure, which shows the effectiveness of the method and the high computational efficiency.