超静定结构系统疲劳可靠性分析的蒙特卡洛方法

研究了超静定结构系统疲劳失效的渐进性质，考虑到疲劳损伤的累积及疲劳破坏过程中载荷的重新分起，导出了系统破坏过程中的若干基本关系。在此基础上，建立了用蒙特卡洛方法模拟系统疲劳破坏的实际过程并计算整个结构系统疲劳失效概率的流程。进一步研究了采用重用性抽样技术提高抽样效率的问题。在例题中利用蒙特卡洛方法的计算结果对采用一阶可靠性方法分析的结果进行了检验。

Fatigue Reliability Analysis of Redundant Structural Systems by Using Monte Carlo Simulation

The progressive nature of the fatigue failure of redundant structural systems is studied. General relationship of the system in the failure process is derived by taking into account the accumulation of fatigue damage and the redistribution of fatigue loading. Based on it, a scheme for evaluating the fatigue failure probability of the overall system by using the Monte Carlo simulation is developed. And the importance sampling technique is applied to improve the sampling efficiency. In numerical examples , the results from the first order reliability method are verified by those from the Monte Carlo simulation.