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
收藏
页码：2851 / 2858
页数：7
相关论文
共 33 条
  • [1] WU Zijun, XIA Liang, WANG Shuting, Et al., Topology Optimization of Hierarchical Lattice Structures with Substructuring[J], Computer Methods in Applied Mechanics and Engineering, 345, pp. 602-617, (2019)
  • [2] WU Zijun, FAN Fei, XIAO Renbin, Et al., The Substructuring-based Topology Optimization for Maximizing the First Eigenvalue of Hierarchical Lattice Structure[J], International Journal for Numerical Methods in Engineering, 121, 13, pp. 2964-2978, (2020)
  • [3] SIVAPURA M R, DUNNING P D, KIM H A., Simultaneous Material and Structural Optimization by Multiscale Topology Optimization[J], Structural and Multidisciplinary Optimization, 54, pp. 1267-1281, (2016)
  • [4] DONG Xiaohu, DING Xiaohong, Topology Optimum Design Method for Periodic Stiffener Structures Based on Adaptive Growth Method[J], China Mechanical Engineering, 29, 17, pp. 2045-2051, (2018)
  • [5] VICENTEW M, ZUO Z H, PAVANELLO R, Et al., Concurrent Topology Optimization for Minimizing Frequency Responses of Two-level Hierarchical Structures[J], Computer Methods in Applied Mechanics and Engineering, 301, pp. 116-136, (2016)
  • [6] ZHANG Heng, DING Xiaohong, SHEN Lei, Et al., Topology Optimization of Sandwich Damping Composite Structure with Connective Stiffness Phase[J], China Mechanical Engineering, 32, 20, pp. 2403-2410, (2021)
  • [7] WU J, AAGE N, WESTERMANN R, Et al., Infill Optimization for Additive Manufacturing-approaching Bone-like Porous Structures[J], IEEE Transactions on Visualization and Computer Graphics, 24, 2, pp. 1127-1140, (2018)
  • [8] XIA Qi, SHI Tielin, A Cascadic Multilevel Optimization Algorithm for the Design of Composite Structures with Curvilinear Fiber Based on Shepard Interpolation[J], Composite Structures, 188, pp. 209-219, (2018)
  • [9] FU Junjian, XIA Liang, GAO Liang, Et al., Topology Optimization of Periodic Structures with Substructuring[J], Journal of Mechanical Design, 141, 7, (2019)
  • [10] DU Yixian, YIN Peng, LI Rong, Et al., Macro and Micro Trans-scale Topological Optimization Design of Gradient Structure with Both Energy Absorption and Load-bearing Characteristics[J], Journal of Mechanical Engineering, 56, 7, pp. 185-194, (2020)
1234