Optimization Design Method for Hollow Isotropic Lattice Structures

doi:10.3901/JME.260255

Abstract

Abstract: To achieve parameterized modeling of hollow lattice structures and to overcome the issues of low efficiency and accuracy in optimizing isotropic properties, an optimization design method for hollow isotropic lattice structures is proposed. By introducing the level set implicit modeling method, the signed distance function of the basic solid microstructure is constructed. Then a parameterized geometric model of the hollow lattice is established through Boolean subtraction operations. The elastic properties of the microstructure are calculated using homogenization methods. Whereafter a database of hollow lattice samples and a Kriging surrogate model are constructed to achieve high-precision and efficient prediction of elastic properties. An optimization mathematical model for hollow isotropic lattice structures is established, and a genetic algorithm is introduced to achieving rapid optimization of microstructural isotropic properties at a specific volume fraction. Six types of hollow isotropic lattice configurations are studied and compression tests are conducted, verifying structural isotropic properties. Numerical results demonstrate that the proposed method can effectively realize the parameterized design of hollow lattice structures, and significantly reduce the cost of isotropic property optimization while ensure computational accuracy.

Key words: hollow lattice, isotropic property, optimization design, implicit modeling, surrogate model

CLC Number:

TH11

SHU Zhengtao, ZHAO Kang, GAO Liang, LI Hao. Optimization Design Method for Hollow Isotropic Lattice Structures[J]. Journal of Mechanical Engineering, 2026, 62(5): 408-418.

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URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260255

http://www.cjmenet.com.cn/EN/Y2026/V62/I5/408

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