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Statistical random response analysis and reliability design of structure system with non-linearity

机译：非线性结构系统的统计随机响应分析与可靠性设计

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摘要

In this paper, a method to analyse a complex non-linear structure system under random excitation is proposed. First, the actual random excitation, such as earthquake, is approximated to the corresponding Gaussian process for the statistical analysis. When modelling the overall non-linear system, the overall system is divided into substructures and these are approximately transformed into modal coordinates with the random excitation. The modal equations of the overall system are expanded sequentially according to the non-linear order. Then, the perturbed equations are synthesised into the overall system and solved in a probabilistic way. Several statistical properties of a random process that are of interest in random vibration applications are reviewed in accordance with the non-linear stochastic problem. The obtained statistical properties of the non-linear random vibration are evaluated in each substructure. Comparing with the results of the numerical simulation proved the efficiency of the proposed method.
机译：提出了一种分析随机激励下的复杂非线性结构系统的方法。首先，将实际的随机激励（例如地震）近似于相应的高斯过程进行统计分析。在对整个非线性系统进行建模时，会将整个系统划分为子结构，并通过随机激励将它们近似转换为模态坐标。整个系统的模态方程根据非线性顺序依次展开。然后，将扰动方程综合到整个系统中，并以概率方式求解。根据非线性随机问题，回顾了随机振动应用中感兴趣的随机过程的几种统计特性。在每个子结构中评估获得的非线性随机振动的统计特性。与数值模拟结果进行比较，证明了该方法的有效性。

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