Design of Compliant Mechanisms by Topology Optimization Based on Isogeometric Analysis

doi:10.3901/JME.2024.01.137

Abstract

Abstract: Isogeometric analysis can unify the basis function of geometric modeling and the shape function of structural analysis to obtain high-precision structural analysis results. The design method for compliant mechanisms based on isogeometric topology optimization is proposed. The NURBS basis function and Shepard function construct the density distribution function, in which high-order continuity can ensure the smooth and clear boundary of the optimized structure. Then, according to the density distribution function, the geometric topology optimization model of the compliant mechanisms is established. Finally, the method is applied to the design of compliant mechanisms. The results of numerical examples show that the unique calculation principle of the isogeometric topology optimization method can improve the accuracy and efficiency of numerical calculation. It can also effectively avoid boundary problems caused by mesh dependency, checkerboard phenomenon, and ensure that the optimized structures have smoothness and continuity. Optimization results verify that the method can effectively avoid the hinge phenomenon of compliant mechanisms.

Key words: topology optimization, isogeometric analysis, compliant mechanisms, density distribution function

CLC Number:

TG156

XU Jie, GAO Jie, XIAO Mi, GAO Liang. Design of Compliant Mechanisms by Topology Optimization Based on Isogeometric Analysis[J]. Journal of Mechanical Engineering, 2024, 60(1): 137-148.

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