面向散热性能的多孔结构多尺度等几何拓扑优化

doi:10.3901/JME.2024.01.054

机械工程学报 ›› 2024, Vol. 60 ›› Issue (1): 54-64.doi: 10.3901/JME.2024.01.054

• 特邀专栏：高性能制造专栏 • 上一篇下一篇

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面向散热性能的多孔结构多尺度等几何拓扑优化

黄明喆^1,2, 肖蜜^1,2, 刘喜亮^1,2, 沙伟^1,2, 周冕^1,2, 高亮^1,2

1. 华中科技大学国家智能设计与数控技术创新中心武汉 430074;
2. 华中科技大学智能制造装备与技术全国重点实验室武汉 430074

收稿日期:2023-01-30 修回日期:2023-05-17 发布日期:2024-03-15
作者简介:黄明喆，男，1998年出生，博士研究生。主要研究方向为等几何拓扑优化设计。E-mail：huangmingzhe@hust.edu.cn
肖蜜(通信作者)，男，1987年出生，博士，教授，博士研究生导师。主要研究方向为宏微观多尺度拓扑优化设计、等几何拓扑优化设计和面向增材制造的拓扑优化设计。E-mail：xiaomi@hust.edu.cn
基金资助:
国家重点研发计划资助项目(2020YFB1708304)。

Multiscale Isogeometric Topology Optimization of Cellular Structures for Heat Dissipation

HUANG Mingzhe^1,2, XIAO Mi^1,2, LIU Xiliang^1,2, SHA Wei^1,2, ZHOU Mian^1,2, GAO Liang^1,2

1. National Center of Technology Innovation for Intelligent Design and Numerical Control, Huazhong University of Science and Technology, Wuhan 430074;
2. State Key Laboratory of Intelligent Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074

Received:2023-01-30 Revised:2023-05-17 Published:2024-03-15

摘要/Abstract

摘要： 多孔结构具有轻质、散热快等特点，在航空航天、信息电子等领域应用广泛，提出了一种面向散热性能的多孔结构多尺度等几何拓扑优化方法。在微观尺度，采用水平集函数描述三周期极小曲面点阵的几何构型，构建了Kriging元模型，预测点阵的宏观等效热学属性，从而降低计算成本；在宏观尺度，以最小散热柔度为目标，建立了多孔结构的多尺度拓扑优化模型，引入等几何分析提高了结构性能分析的计算精度，结合等几何映射技术开展了非规则几何结构的多尺度拓扑优化设计，避免了非规则设计域中点阵裁剪导致的几何特征缺损等问题；最后，通过数值算例验证了所提出方法的有效性。结果表明，提出方法可实现非规则几何结构的散热性能优化设计，优化得到的轻质梯度多孔结构具有较好的散热性能，在实际工程中具有广阔的应用前景。

关键词: 等几何分析, 多尺度拓扑优化, 三周期极小曲面, Kriging元模型, 散热性能

Abstract: Cellular structure with the characteristics of light weight and fast heat dissipation is widely used in aerospace, information electronics and other fields. A multiscale isogeometric topology optimization method of cellular structure for heat dissipation is proposed. At the microscale, The level set function is adopted to describe the geometric configuration of the triply periodic minimal surface lattice. Kriging meta-model is constructed to predict the macro effective thermal properties of the lattice, thus reducing the calculation cost. At the macroscale, The multiscale isogeometric topology optimization model of cellular structure is established with the objective of minimum thermal compliance. Isogeometric analysis is introduced to improve the computational accuracy of structural performance analysis. Multiscale topology optimization design of irregular geometric structures is carried out by combining isogeometric mapping technology, which avoids the problems such as geometric feature defect caused by the cutting of the lattices in the irregular design domain. It is shown by results that the optimal design of heat dissipation performance of irregular geometric structure can be realized by the proposed method, and the lightweight graded cellular structure with great heat dissipation performance optimized by the proposed method has broad application prospects in practical engineering.

Key words: isogeometric analysis, multiscale topology optimization, triply periodic minimal surface, Kriging metamodel, heat dissipation performance

中图分类号:

TG156

黄明喆, 肖蜜, 刘喜亮, 沙伟, 周冕, 高亮. 面向散热性能的多孔结构多尺度等几何拓扑优化[J]. 机械工程学报, 2024, 60(1): 54-64.

HUANG Mingzhe, XIAO Mi, LIU Xiliang, SHA Wei, ZHOU Mian, GAO Liang. Multiscale Isogeometric Topology Optimization of Cellular Structures for Heat Dissipation[J]. Journal of Mechanical Engineering, 2024, 60(1): 54-64.

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面向散热性能的多孔结构多尺度等几何拓扑优化

Multiscale Isogeometric Topology Optimization of Cellular Structures for Heat Dissipation

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