Optimization method of thermo-elastic lattice structure based on surrogate models of microstructures

被引：0

作者：

Lu H. ^{[1
]}

Cai Y. ^{[1
]}

Li S. ^{[1
]}

机构：

[1] School of Aeronautic Science and Engineering, Beihang University, Beijing

来源：

Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics | 2023年 / 49卷 / 12期

关键词：

effective properties; structure optimization; surrogate model; thermo-elastic structure; three-dimensional lattice material;

D O I：

10.13700/j.bh.1001-5965.2022.0155

中图分类号：

学科分类号：

摘要：

Lattice material is a new type of lightweight and multifunctional material, which has a variety of microstructures and high porosity. Excellent macroscopic properties can be obtained by designing its mesoscale features. To maximize the design potential of materials and structures, an optimization method for the thermo-elastic lattice structure is proposed. As for mesoscale material research, the effective thermo-elastic properties prediction of three-dimensional lattice materials is implemented. Relevant coefficients are solved using the idea of the representative volume method under periodic boundary conditions. Surrogate models are constructed to build the relationship between macroscopic responses and microstructures, and are proved to have good accuracy through error verification tests. As for macroscale material research, a structural optimization model filled with equivalent materials is established. Considering the thermal and mechanical loads, a mathematical model for structural optimization of thermo-elastic lattice structure with minimum strain energy is proposed using the surrogate models of effective properties as the material interpolation schemes. The result of an optimal spatially varying metamaterial is obtained in a typical three-dimensional structure example, and the thermal stiffness of the structure is improved under a certain volume constraint, demonstrating the effectiveness of the optimization method. © 2023 Beijing University of Aeronautics and Astronautics (BUAA). All rights reserved.

引用

页码：3432 / 3444

页数：12

共 25 条

[1]

YANG Y Z, YANG J L, ZENG T, Et al., Progress in research work of light materials, Chinese Quarterly of Mechanics, 28, 4, pp. 503-516, (2007)

[2]

WANG X W, WEI K, WANG K Y, Et al., Effective thermal conductivity and heat transfer characteristics for a series of lightweight lattice core sandwich panels, Applied Thermal Engineering, 173, (2020)

[3]

LU T J, VALDEVIT L, EVANS A G., Active cooling by metallic sandwich structures with periodic cores, Progress in Materials Science, 50, 7, pp. 789-815, (2005)

[4]

RODRIGUES H, FERNANDES P., A material based model for topology optimization of thermoelastic structures, International Journal for Numerical Methods in Engineering, 38, 12, pp. 1951-1965, (1995)

[5]

GAO T, ZHANG W H., Topology optimization involving thermoelastic stress loads, Structural and Multidisciplinary Optimization, 42, 5, pp. 725-738, (2010)

[6]

PEDERSEN P, PEDERSEN N L., Strength optimized designs of thermoelastic structures, Structural and Multidisciplinary Optimization, 42, 5, pp. 681-691, (2010)

[7]

WU J, SIGMUND O, GROEN J P., Topology optimization of multi-scale structures: A review, Structural and Multidisciplinary Optimization, 63, 3, pp. 1455-1480, (2021)

[8]

NOOR A K., Continuum modeling for repetitive lattice structures, Applied Mechanics Reviews, 41, 7, pp. 285-296, (1988)

[9]

BABUSKA I, GLOWINSKI R, LIONS J L., Homogenization approach in engineering, Computing Methods in Applied Sciences and Engineering, pp. 137-153, (1976)

[10]

TANG S F, HUANG F H, LIANG J, Et al., Multi-scale analysis for thermo-elasticity properties of composite materials with small periodic configuration, Key Engineering Materials, 334-335, pp. 25-28, (2007)

← 1 2 3 →