多尺度结构拓扑优化设计方法综述

doi:10.7527/S1000-6893.2023.28863

Abstract

Abstract:

Multi-scale structure is one of the important directions of next-generation structural lightweighting and has great potential and strategic value for application in the aerospace field. Topology optimization techniques for multi-scale structures have also been extensively researched， leading to great progress and achievements. However， many challenges and difficulties remain before realizing actual engineering practice. This paper firstly introduces the mainstream methods and characteristics of single-scale structural topology optimization， the basic idea and special position of homogenization methods， as well as the relationship between topology optimization methods for multi-scale structures and topology optimization methods for single-scale structures. Then， using the structural distribution characteristics as the classification criteria， this paper systematically sorted out the topology optimization design methods for three distribution forms of multi-scale structures： periodic， functional gradient and heterogeneous. For the important issues， including structural connectivity， applicability of multi-scale methods， and application of machine learning technology in multi-scale structural topology optimization， relevant research progresses are reviewed and discussed. Finally， pressing challenges and important research directions in the field are summarized and prospected.

Key words: lightweight structures, multi-scale, structural optimization, homogenization methods, machine learning

CLC Number:

Xiaoqian CHEN, Yong ZHAO, Senlin HUO, Zeyu ZHANG, Bingxiao DU. A review of topology optimization design methods for multi-scale structures[J]. Acta Aeronautica et Astronautica Sinica, 2023, 44(15): 528863-528863.

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类型	结构柔度		相对误差/%
类型	均匀化	全尺度分析	相对误差/%
	4.763×10⁶	4.860×10⁶	-2.00
	6.286×10⁶	6.464×10⁶	-2.75
	4.653×10⁶	5.248×10⁶	-11.34
	8.420×10⁷	4.963×10⁹	-98.30
	6.538×10⁷	8.322×10¹³	-100.00

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A review of topology optimization design methods for multi-scale structures

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