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首页> 外文期刊>International Journal of Reliability and Safety >Reliability-based synthesis of non-linear stochastic dynamical systems: a global approximation approach
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Reliability-based synthesis of non-linear stochastic dynamical systems: a global approximation approach

机译：基于可靠性的非线性随机动力系统的综合：全局逼近方法

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摘要

The paper presents an efficient methodology to carry out reliability-based structural optimisation of non-linear systems under stochastic loading. The optimisation problem is formulated as the minimisation of an objective function subject to multiple reliability constraints. The reliability constraints are given in terms of first excursion probabilities with large state-space dimensions. A sequential approximate optimisation scheme based on global approximations of the reliability constraints is implemented in the proposed formulation. The approximations of the first excursion probabilities in terms of the design variables are constructed by combining a global mixed linearisation approach with a reliability sensitivity analysis. The sensitivity of the first excursion probabilities are estimated by considering some statistics of an augmented reliability problem. The number of reliability estimations required during the optimal design process is generally very small. Two numerical examples are presented to illustrate the effectiveness of the method.
机译：本文提出了一种在随机载荷下对非线性系统进行基于可靠性的结构优化的有效方法。将优化问题表述为受多个可靠性约束的目标函数的最小化。可靠性约束是根据具有较大状态空间尺寸的第一偏移概率给出的。在提出的公式中实现了基于可靠性约束的全局近似的顺序近似优化方案。通过将全局混合线性化方法与可靠性敏感性分析相结合，可以构造出关于设计变量的第一偏移概率的近似值。通过考虑增强可靠性问题的一些统计数据来估算第一偏移概率的敏感性。最佳设计过程中所需的可靠性估计数通常很小。给出了两个数值例子，说明了该方法的有效性。

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