A Hybrid Level Set Method for Topology Optimization of Functionally Graded Cellular Structures

doi:10.3901/JME.2022.17.249

Abstract

Abstract: To enrich the distribution ways of the cellular cells and improve the geometric continuity in traditional functionally graded cellular structures (FGCS), a hybrid level set method (HLSM) for topology optimization of FGCS is proposed. By introducing the affine concept of convex optimization theory, the affine of implicit level set function is constructed to realize the implicit modeling of graded micro and macrostructures. A global update-local interpolation strategy is proposed to update design variables, and then the geometric continuity is embedded into the topology optimization model. The weight coefficient is the design variable and the volume fraction of the structure is the constraint condition. A HLSM-based FGCS topology optimization model is established with the maximum stiffness. The optimality criteria (OC) is used to solve the model to obtain a FGCS with superior continuity. Numerical examples show that the proposed method can effectively realize topology optimization of the FGCS, which enriches the graded varying form of the cellular cell and ensures the continuity between the different cellular structures.

Key words: topology optimization, functionally graded cellular structures, hybrid level set method, geometric continuity

CLC Number:

TH11

FU Junjian, SHU Zhengtao, TIAN Qihua, DU Yixian, ZHOU Xiangman, XU Yong. A Hybrid Level Set Method for Topology Optimization of Functionally Graded Cellular Structures[J]. Journal of Mechanical Engineering, 2022, 58(17): 249-260.

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