SMC在结构可靠性分析中的应用

Separable Monte Carlo simulation applied to structures reliability

摘要:

为解决高可靠度结构的不确定性可靠性问题,提出了采用分离式蒙特卡洛方法(SMC)对失效概率进行计算,该方法是以原始的蒙特卡洛方法(CMC)和条件期望法(CE)为基础,采用不同的响应样本和能力样本,以抽样样本的试验分布函数代替条件期望方法中精确的分布函数．通过实例计算结果表明,SMC方法既解决了计算的成本问题,又提高了计算精度,能够很好的解决高可靠结构的不确定性可靠性问题．

Abstract:

To solve the uncertainty reliability problem of a high reliability structure, a separable Monte Carlo (SMC) method based on crude Monte Carlo (CMC) method and Condition expectation (CE) method is proposed. The method uses different sample size of response and capacity, and replaces the distribution function of CE with empirical distribution function of sample of SMC. Practical example of reliability shows that SMC method not only solves the calculation cost, but also improves the calculation precision, it can be applied to uncertainty reliability problem of structures.