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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A two-stage Subset Simulation-based approach for calculating the reliability of inelastic structural systems subjected to Gaussian random excitations
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A two-stage Subset Simulation-based approach for calculating the reliability of inelastic structural systems subjected to Gaussian random excitations

机译：基于两阶段子集模拟的计算高斯随机激励下非弹性结构系统可靠性的方法

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摘要

This paper presents a methodology for calculating the reliability of inelastic structural systems subjected to Gaussian random excitations. The method adopts a two-stage approach, involving separate calculation of the failure probabilities associated with linear elastic and inelastic structural response. The method exploits the fact that the calculation of failure probabilities associated with a linear problem can be performed extremely efficiently, using minimal computational effort compared to the effort required for solving a corresponding nonlinear problem. The calculation of failure probability associated with inelastic response is performed using a modified Subset Simulation procedure where the first step involves the direct simulation of samples in the inelastic domain rather than standard Monte Carlo simulations as in Standard Subset Simulation. It is demonstrated with a numerical example that the proposed two-stage approach offers significant computational savings over the Standard Subset Simulation approach.
机译：本文提出了一种计算受高斯随机激励作用的非弹性结构系统可靠性的方法。该方法采用两阶段方法，涉及分别计算与线性弹性和非弹性结构响应相关的破坏概率。该方法利用以下事实：与解决相应的非线性问题所需的工作量相比，使用最少的计算工作量就可以非常高效地执行与线性问题相关的故障概率的计算。与非弹性响应相关的失效概率的计算是使用改进的子集模拟程序执行的，其中第一步涉及在非弹性域中直接模拟样本，而不是像标准子集模拟中那样进行标准蒙特卡洛模拟。数值示例表明，与标准子集仿真方法相比，建议的两阶段方法可节省大量计算量。

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