Layout optimization of compliant mechanism with embedded components using moving morphable component (MMC) method

Abstract

This paper proposes a single explicit topology optimization method based on the moving morphable component framework for the integrated design of the movable components and compliant mechanism. The core of this method lies in the unified use of explicit geometric parameters (size and pose) to describe the topological configuration and layout of the mechanism and embedded components, avoiding the model complexity and dual sensitivity analysis issues associated with hybrid description frameworks. Based on this unified description framework, a topological description function for the compliant mechanism with embedded components is constructed, and finite element analysis is performed using the ersatz material model. Under the volume constraint of the host structure, an optimization model is established with the goal of maximizing the output displacement. Sensitivity analysis is done analytically, and the design variables are updated using the method of moving asymptotes approach. Numerical examples verify the effectiveness of this method in the integrated design of embedded components and compliant mechanisms.