Topology optimization of compliant mechanisms and structures subjected to design-dependent pressure loadings

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.

Automated summary

The extended algorithm presented in this article utilizes the MIST method for topology optimization of compliant mechanisms and structures, modeling the fluid-structure interface using equivalent virtual strain energy and work, and directly applying design-dependent pressure loadings on the interface boundary. The algorithm is validated through multiple numerical examples, demonstrating its effectiveness in optimizing compliant mechanisms and structures.