Performance-based Bi-objective optimization of structural systems subject to stochastic wind excitation

Performance-based Bi-objective optimization of structural systems subject to stochastic wind excitation
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随机风激励结构系统的基于性能的双目标优化

DOI:
10.1016/j.ymssp.2021.107893
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发表时间:
2021
影响因子:
8.4
通讯作者:
Spence, Seymour M.J.
Spence, Seymour M.J.
中科院分区:
工程技术1区
文献类型:
--
作者:
Subgranon, Arthriya;Spence, Seymour M.J.

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本文概述了基于随机模拟的动态风激结构的设计优化方法的发展,其中组件的损伤和损失之间的相关性显式处理。所提出的方法集成了一个双目标的设计优化方案与概率性能为基础的风工程方法,系统地占系统损失估计中涉及的各种来源的不确定性。通过随机约束技术,将双目标优化问题转化为一系列单目标随机优化问题。为了解决每个约束优化问题,提出了一个伪模拟方案,允许制定一个近似的子问题,可以顺序解决,以确定解决方案,定义了一组帕累托最优设计。在所提出的方案中,工程需求的样本近似的辅助变量向量,这是在一个固定的设计点进行的增强模拟的副产品。解析表达式推导出的工程需求样本的风致损失的二阶统计的基础上的概念的脆弱性。明确处理组件容量和组件损耗之间的潜在相关性。通过随机风荷载作用下抗弯框架的优化设计,验证了该方法的有效性及其对高维问题的可扩展性。
This paper outlines the development of a stochastic simulation-based design optimization approach for dynamic wind excited structures in which correlations between component damages and losses are explicitly treated. The proposed approach integrates a bi-objective design optimization scheme with a probabilistic performance-based wind engineering methodology which systematically accounts for the various sources of uncertainties involved in system loss estimation. Through the∊-constraint technique, the bi-objective optimization problem is transformed into a series of single-objective stochastic optimization problems. To solve each∊-constraint optimization problem, a pseudo-simulation scheme is proposed that allows for the formulation of an approximate sub-problem that can be solved sequentially to identify solutions that define a set of Pareto optimal designs. In the proposed scheme, samples of engineering demands are approximated in terms of auxiliary variable vectors, which are by-products of an augmented simulation carried out in a fixed design point. Analytical expressions are derived that relate the engineering demand samples to the second-order statistics of wind-induced losses based on the concept of fragility. Potential correlations between the component capacities and component losses are explicitly treated. The effectiveness of the proposed approach and its scalability to high-dimensional problems are illustrated through optimal designs of moment-resisting frames subject to stochastic wind loads.
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