A Substructure-based Co-optimization Method for Macro-micro Structures

被引：0

作者：

Wu Z. ^{[1
]}

Xiao R. ^{[2
]}

机构：

[1] Hubei Key Laboratory of Digital Textile Equipment, Wuhan Textile University, Wuhan

[2] School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan

来源：

Zhongguo Jixie Gongcheng/China Mechanical Engineering | 2022年 / 33卷 / 23期

关键词：

collaborative design; macro-microscopic optimization design; periodic structure; substructure;

D O I：

10.3969/j.issn.1004-132X.2022.23.009

中图分类号：

学科分类号：

摘要：

The integrated structural macro-microscopic design was achieved by using the reduction of substructural degrees of freedom， which required the pre-establishment of samples of different substructural configurations. The macroscopic structure optimization might only be interpolated in predefined microscopic configurations， which restricted the optimization space of structural macro and microscopic. A macro-micro collaborative method was proposed for the design of periodic structures by combining substructure degree of freedom reduction and inverse theory. Using the solid isotropic material with penalization（SIMP） method and the substructure method， a substructure-based macro-micro collaborative framework for periodic structures was constructed. The correlation between the material volume variation of macrostructures and microscopic periodic cell was analyzed， and the matching of optimization parameters was given such as penalty factor and variable filter radius at two scales. Then， the sensitivity values of the design variables in the macroscopic structures and microscopic periodic structures were calculated in combination with the traditional structural flexibility minimum optimization model， and the co-design of macro and micro structures was realized. The effectiveness of the proposed method was verified by the design of the cantilever beam structures. © 2022 China Mechanical Engineering Magazine Office. All rights reserved.

引用

页码：2851 / 2858

页数：7

共 33 条

[11] LIAO Zhongyuan, WANG Yingjun, WANG Shuting, Graded-density Lattice Structure Optimization Design Based on Topology Optimization[J], Journal of Mechanical Engineering, 55, 8, pp. 65-72, (2019)
[12] BENDSOEM P, KIKUCHI N., Generating Optimal Topologies in Structural Design Using a Homogenization Method[J], Computer Methods in Applied Mechanics and Engineering, 71, 2, pp. 197-224, (1988)
[13] BENDSOE M P, SIGMUND O., Material Interpolation Schemes in Topology Optimization[J], Archive of Applied Mechanics, 69, 9, pp. 635-654, (1999)
[14] SIGMUND O., Materials with Prescribed Constitutive Parameters:an Inverse Homogenization Problem, International Journal of Solids and Structures, 31, 17, pp. 2313-2329, (1994)
[15] ZHU Jihong, ZHANG Weihong, XIA Liang, Topology Optimization in Aircraft and Aerospace Structures Design[J], Archives of Computational Methods in Engineering, 23, 4, pp. 595-622, (2016)
[16] BIEGLER L T, LANG Yidong, LIN Weijie, Multi-scale Optimization for Process Systems Engineering, Computers & Chemical Engineering, 60, pp. 17-30, (2014)
[17] LI Min, CHENG Zhibao, JIA Gaofeng, Et al., Dimension Reduction and Surrogate Based Topology Optimization of Periodic Structures[J], Composite Structures, 229, (2019)
[18] LI Min, JIA Gaofeng, CHENG Zhibao, Et al., Generative Adversarial Network Guided Topology Optimization of Periodic Structures via Subset Simulation[J], Composite Structures, 260, (2021)
[19] ZHENG Yongfeng, XIAO Mi, GAO Liang, Et al., Robust Topology Optimization for Periodic Structures by Combining Sensitivity Averaging with a Semianalytical Method[J], International Journal for Numerical Methods in Engineering, 117, 5, pp. 475-497, (2019)
[20] HE Guangqiang, HUANG Xiaodong, WANG Hu, Et al., Topology Optimization of Periodic Structures Using BESO Based on Unstructured Design Points[J], Structural and Multidisciplinary Optimization, 53, pp. 271-275, (2016)

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