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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。
In order to study the application of continuous topology optimization theory in practical engineering, this paper presents a continuous topology optimization design method of multi-story steel frame support system. Based on the sensitivity analysis, the topological optimization criteria of continuum structures subjected to stress and multi-displacement constraints under multi-conditions are discussed. In order to ensure the rationality of the topology optimization results, the concept of designing the average thickness of the area is proposed. In the optimal design method given in this paper, the unsupported steel frame is first optimized without considering the displacement constraints, and then the asymptotic structural optimization algorithm and deletion criterion are used to make the support system continuous under the constraint of displacement Type topological optimization design, and get the support of the optimal topological configuration into the corresponding rod. Through a topologically optimized design example of a three-span 12-story steel frame support system, the validity of the continuous topological optimization design method of the steel frame support system is verified.