多组件结构系统布局拓扑优化中处理组件干涉约束的惩罚函数方法

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包含大量组件的多组件结构系统布局拓扑优化设计中存在大量的组件干涉约束,研究了包含大量组件的结构系统整体式拓扑布局优化设计问题,基于有限包络圆方法(FCM)提出了处理组件干涉约束的惩罚函数方法,构造了包含结构刚度和组件之间几何干涉函数的内外混合惩罚函数,应用基于梯度的优化算法对包含数十个组件上百个干涉约束的多组件结构系统进行刚度优化设计,得到了清晰的支撑结构构型和无干涉的组件布局位置,充分体现了提出的混合惩罚函数方法在解决多组件结构系统布局拓扑优化设计中组件干涉问题上的有效性和适用性。 There are a large number of component interference constraints in the topological optimization design of multi-component structural system layout including a large number of components. The optimization design of the integrated topology of a structural system containing a large number of components is studied. Based on the Finite Envelope Circle Method (FCM) Constrained penalty function method, an internal and external mixed penalty function including structural stiffness and geometrical interference functions between components is constructed, and a gradient-based optimization algorithm is used to optimize the stiffness of a multi-component structural system including hundreds of interference constraints of dozens of components , A clear support structure configuration and a non-interference component layout position are obtained, which fully demonstrates the validity and applicability of the proposed hybrid penalty function method in solving the component interference problem in topology optimization design of multi-component structure system layout.
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