Abstract
In this article, a design method of multi-material compliant mechanism is studied. Material distribution with different elastic modulus is used to meet the rigid and flexible requirements of compliant mechanism at the same time. The solid isotropic material with penalization (SIMP) model is used to parameterize the design domain. The expressions for the stiffness matrix and equivalent elastic modulus under multi-material conditions are proposed. The least square error (LSE) between the deformed and target displacement of the control points is defined as the objective function, and the topology optimization design model of multi-material compliant mechanism is established. The oversaturation problem in the volume constraint is solved by pre-setting the priority of each material, and the globally convergent method of moving asymptotes (GCMMA) is used to solve the problem. Widely studied numerical examples are conducted, which demonstrate the effectiveness of the proposed method.
Highlights
A compliant mechanism is a new type of hingeless mechanism that relies on the elastic deformation of the whole or part of the mechanism itself to obtain movement
We present benchmark examples of compliant mechanisms to illustrate the viability and efficiency of the methodology presented in this paper
Globally Convergent Method of Moving Asymptotes (GCMMA) optimization algorithm based on MATLAB platform, is used to obtain the optimal topology of compliant mechanisms
Summary
A compliant mechanism is a new type of hingeless mechanism that relies on the elastic deformation of the whole or part of the mechanism itself to obtain movement. Zhang proposed a solution strategy for multi-objective topology optimization under thermal structural coupling [43,44]. Tavakoli proposed an Allen-Cahn projection gradient multi-material topology optimization method based on the SIMP model [49]. In this paper, based on the generalized SIMP material interpolation model, taking the least square difference between the actual displacement and the target displacement of each output index point as the optimization objective, the mathematical model for topology. 3 of for of each output index point as the optimization objective, the mathematical model topology optimization of multi-material compliant mechanisms is established. The polygonal mesh thethe topology optimization multi-material compliant mechanisms, as iswork, used in finite element solutionmodel processfor to avoid single node hinge.
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