Topology Optimization of Multi-material Compliant Mechanisms Using Node-density Interpolation Scheme

Abstract

Based on the spring model and node density interpolation SIMP (Solid Isotropic Material with Penalization) method, a layered optimization strategy for topology optimization of multi-material compliant mechanism is given. Firstly, with the objective of maximizing the displacement at the output port and constraining the corresponding volume fractions of the each considered material, a model for the topology optimization of multi-material compliant mechanism is established. Secondly, the C0 continuity of the density field in the design area is constructed by using node density interpolation. The analytical expressions of sensitivities of the objective function and constraints are given. A sensitivity filtering scheme with adaptive filtering radius is employed to eliminate the stratification phenomenon in the node density interpolation method. Then, a laid optimization strategy is given to solve the topology optimization problem of a multi-material compliant mechanism. Finally, the typical two-dimensional and three-dimensional compliant mechanisms topology optimization problems are used to verify the effectiveness of the proposed method, and the influence of design parameters on the optimization results was analyzed.