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A Hybrid Method for Structural System Reliability-Based Design Optimization and its Application to Trusses

机译：基于结构系统可靠性的混合优化设计方法及其在桁架中的应用

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Most research studies on structural optimum design have focused on single-objective optimization of deterministic structures, while little study has been carried out to address multi-objective optimization of random structures. Statistical parameters and redundancy allocation problems should be considered in structural optimization. In order to address these problems, this paper presents a hybrid method for structural system reliability-based design optimization (SRBDO) and applies it to trusses. The hybrid method integrates the concepts of the finite element method, radial basis function (RBF) neural networks, and genetic algorithms. The finite element method was used to compute structural responses under random loads. The RBF neural networks were employed to approximate structural responses for the purpose of replacing the structural limit state functions. The system reliabilities were calculated by Monte Carlo simulation method together with the trained RBF neural networks. The optimal parameters were obtained by genetic algorithms, where the system reliabilities were converted into penalty functions in order to address the constrained optimization. The hybrid method applied to trusses was demonstrated by two examples which were a typical 10-bar truss and a steel truss girder structure. Detailed discussions and parameter analysis for the failure sequences such as web-bucking failure and beam-bending failure in the SRBDO were given. This hybrid method provides a new idea for SRBDO of trusses. Copyright (c) 2015 John Wiley & Sons, Ltd.
机译：关于结构优化设计的大多数研究都集中于确定性结构的单目标优化，而针对随机结构的多目标优化的研究很少。在结构优化中应考虑统计参数和冗余分配问题。为了解决这些问题，本文提出了一种基于结构系统可靠性的设计优化（SRBDO）的混合方法，并将其应用于桁架。混合方法集成了有限元方法，径向基函数（RBF）神经网络和遗传算法的概念。有限元法被用来计算随机荷载下的结构响应。为了替换结构极限状态函数，采用了RBF神经网络来近似结构响应。通过蒙特卡洛模拟方法和训练有素的RBF神经网络来计算系统可靠性。通过遗传算法获得了最优参数，其中系统可靠性被转换为惩罚函数，以解决约束优化问题。通过两个示例来说明应用于桁架的混合方法，这两个示例是典型的10巴桁架和钢桁架梁结构。给出了SRBDO中诸如腹板屈曲失效和梁弯曲失效等失效序列的详细讨论和参数分析。这种混合方法为桁架的SRBDO提供了新的思路。版权所有（c）2015 John Wiley＆Sons，Ltd.

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