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Physical synthesis method for global reliability analysis of engineering structures

机译：工程结构整体可靠性分析的物理合成方法

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摘要

Global reliability analysis is quite essential for safety design and serviceability maintenance of modern engineering structures. Various reliability analysis methods have been proposed though, the issues of combination explosion as well as probabilistic correlation of system failure paths remain challenging. Practical applications of these methods are thus hindered, especially when complex, implicit, and nonlinear performance functions ate involved. There isn't an efficient way out of this dilemma until the emergence of the probability density evolution method (PDEM) combined with the equivalent extreme value event principle in recent years. The governing partial differential equations regarding the probability density evolution of a stochastic dynamical system are decoupled to a one-dimensional generalized probability density evolution equation (GPDEE) by employing the random event description. In conjunction with the PDEM, this paper explores a physical synthesis approach towards the global reliability analysis of actual engineering structures. Evaluation of multiple failute potential is incorporated into the mathematical resolving of the GPDEE for structural response at a representative point. An accurate and efficient solving procedure for the global reliability of probabilistic dissipative systems is presented where no need of seeking the failure paths and their associated probabilities. Numerical applications are examined to illustrate the use of the physical synthesis method as a practical analysis tool.
机译：全局可靠性分析对于现代工程结构的安全设计和可维护性维护非常重要。尽管已经提出了各种可靠性分析方法，但是组合爆炸以及系统故障路径的概率相关性问题仍然具有挑战性。因此，这些方法的实际应用受到了阻碍，尤其是在涉及复杂，隐式和非线性性能函数的情况下。直到近年来出现概率密度演化方法（PDEM）与等效极值事件原理相结合的方法，才有解决这一难题的有效方法。通过采用随机事件描述，将与随机动力系统的概率密度演化有关的支配偏微分方程解耦为一维广义概率密度演化方程（GPDEE）。结合PDEM，本文探索了一种对实际工程结构进行整体可靠性分析的物理综合方法。 GPDEE的数学解析将代表多重失效潜能的评估纳入代表点的结构响应。提出了一种准确高效的概率耗散系统整体可靠性求解方法，无需寻找故障路径及其相关概率。数值应用进行了研究，以说明物理合成方法作为一种实用的分析工具的使用。

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