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

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。

A penalty function based method for dealing with overlap constraints in integrated layout and topology optimization design of multi-component systems

There are an amount of overlap constraints in the integrated layout and topology optimization design of a multi-component system containing tens of components. The integrated layout and topology optimization design of multi-component systems containing varieties of components are discussed in this paper. The finite-circle method (FCM) based penalty function is applied to deal with the overlap constraints among different components. A combined penalty function consisting of compliance and overlap constraints functions is chosen as the new objective. The gradient based optimization algorithm is implemented to maximize the stiffness of the system involving hundreds of overlap constraints, a total of tens of different components. Clear configurations of structure and non-overlapping positions of components are obtained in the simultaneous integrated layout and topology optimization deign. The optimized designs have shown the validity and efficiency of the proposed penalty function in dealing with overlap constraints in the integrated layout and topology optimization design of multi-component systems.