黄冀卓, 王 湛. 钢框架支撑体系连续型拓扑优化设计[J]. 工程力学, 2010, 27(11): 106-112.
引用本文: 黄冀卓, 王 湛. 钢框架支撑体系连续型拓扑优化设计[J]. 工程力学, 2010, 27(11): 106-112.
HUANG Ji-zhuo, . CONTINUUM STRUCTURAL TOPOLOGY OPTIMIZATION FOR LAYOUT DESIGN OF STEEL FRAME BRACING SYSTEMS[J]. Engineering Mechanics, 2010, 27(11): 106-112.
Citation: HUANG Ji-zhuo, . CONTINUUM STRUCTURAL TOPOLOGY OPTIMIZATION FOR LAYOUT DESIGN OF STEEL FRAME BRACING SYSTEMS[J]. Engineering Mechanics, 2010, 27(11): 106-112.

钢框架支撑体系连续型拓扑优化设计

CONTINUUM STRUCTURAL TOPOLOGY OPTIMIZATION FOR LAYOUT DESIGN OF STEEL FRAME BRACING SYSTEMS

  • 摘要: 为了研究连续型拓扑优化理论在实际工程中的应用,该文给出了一种多层钢框架支撑体系连续型拓扑优化设计方法。基于灵敏度分析,探讨了连续体结构在多工况荷载作用下、同时受应力和多位移约束的拓扑优化删除准则。为保证拓扑优化结果的合理性,提出了设计区域平均厚度的概念。在该文给出的优化设计方法中,首先在不考虑位移约束的情况下对无支撑钢框架进行优化设计,然后在有位移约束的条件下采用渐进结构优化算法和删除准则对支撑体系进行连续型拓扑优化设计,并将获得的支撑最优拓扑构形转化成相应的杆件。通过一个3跨12层钢框架支撑体系的拓扑优化设计实例验证了该文给出的钢框架支撑体系连续型拓扑优化设计方法的有效性。

     

    Abstract: To study the application of continuum structural topology optimization methods to real engineering structures, an optimization method for an optimal topology design of multistory steel frame bracing systems is presented. On a sensitivity analysis, an element removal criterion for continuum structures with stress and multi-displacement constraints under multiple lateral loading conditions is proposed. A concept of mean thickness of a design domain is provided to ensure the reasonableness of optimal results. In the proposed optimization method, the optimal design of an unbraced steel frame without displacement constraints is performed firstly, and then the optimal topology of a bracing system for the multistory steel frame considering displacement constraints is obtained by using evolutionary structural optimization and the given removal criterion, and finally the optimal layout of the bracing system is interpreted as bracing members. An example of 3-bay 12-story plane steel frame shows that it is effective for the given optimization method in the optimal design of bracing systems for multistory steel frames.

     

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