This article presents an extended algorithm for topology optimization of compliant mechanisms and structures with design-dependent pressure loadings using the moving iso-surface threshold (MIST) method. In this algorithm, the fluid-structure interface is modeled using the finite element method via considering equivalent virtual strain energy and work and is tracked by an element-based searching scheme. Design-dependent pressure loads are directly applied on interface boundary and are calculated as virtual work equivalent nodal forces in the interface elements based on the finite element formulation. Several numerical examples are presented for topology optimization of mean compliance and compliant mechanisms. The present algorithm is validated through benchmarking with the results in literature and/or full finite element analysis (FEA) results of the optimum compliant mechanism and structure designs.

本文提出了一种扩展的算法，可以使用运动等值面阈值（MIST）方法对与设计相关的压力载荷进行顺应性机构和结构的拓扑优化。在该算法中，通过考虑等效虚拟应变能和功，使用有限元方法对流固界面进行建模，并通过基于元素的搜索方案对其进行跟踪。与设计有关的压力载荷直接施加在界面边界上，并基于有限元公式计算为界面单元中的虚功等效节点力。给出了几个数值示例，用于均值顺应性和顺应性机制的拓扑优化。