基于各向异性材料插值的点阵散热结构跨尺度拓扑优化

doi:10.3901/JME.2024.13.071

摘要/Abstract

摘要： 点阵结构凭借其轻质、快速散热等特点，广泛应用于信息电子、航空航天等领域，提出了一种基于各向异性材料插值的点阵散热结构跨尺度拓扑优化方法。在微观尺度上，设计了添加连接壁的十字型点阵单胞，保证了相邻单胞的连接性，通过旋转单胞使其呈现各向异性的热学属性，并改变其体分比进一步扩大设计空间；在宏观尺度上，以最小化散热柔度为目标、高导热材料体积分数为约束，构建了点阵散热结构拓扑优化模型，基于各向异性材料插值函数快速计算单胞的宏观等效热学属性，同时优化点阵单胞在宏观设计域的分布、点阵单胞的几何参数与旋转角度。最后，结合算例实现了不同边界条件下的点阵散热结构跨尺度拓扑优化。进一步考虑最小化平均温度、最小化温差、最小化最高温度等三类典型热学性能目标，开展跨尺度拓扑优化设计，结果表明提出方法设计的点阵结构具有良好的热学性能。

关键词: 跨尺度拓扑优化, 点阵散热结构, 各向异性材料插值, 点阵单胞旋转

Abstract: Lattice structures are widely used in the fields of information electronics and aerospace due to their lightweight and fast heat dissipation characteristics. A multiscale topology optimization method of lattice thermal dissipation structures based on anisotropic material interpolation is proposed. At microscale, the cross-shaped lattice with connecting walls is designed to ensure the good connection of adjacent unit cells. Lattices with anisotropic thermal properties are obtained by the rotation of cross-shaped lattice. The design space is further expanded by changing the volume of the lattices. At macroscale, with the goal of minimizing thermal compliance and constraining the volume fraction of high thermal conductivity material, a topology optimization model of lattice thermal dissipation structures is constructed. Meanwhile, an anisotropic material interpolation function is established to quickly calculate the effective thermal properties of lattices. The simultaneous optimization of the distribution, geometric parameters and rotation angle of lattices is performed. With numerical examples, multiscale topology optimization of lattice thermal dissipation structures under different boundaries are achieved. Besides, three typical thermal performance objectives are further considered, including the minimization of average temperature, temperature difference and maximum temperature. With these objectives, multiscale topology optimization design is carried out. The results indicate that the lattice structures designed by proposed method have good thermal performance.

Key words: multiscale topology optimization, lattice thermal dissipation structure, anisotropic material interpolation, lattice rotation

中图分类号:

TG156

肖蜜, 李奇石, 高亮, 沙伟, 黄明喆. 基于各向异性材料插值的点阵散热结构跨尺度拓扑优化[J]. 机械工程学报, 2024, 60(13): 71-80.

XIAO Mi, LI Qishi, GAO Liang, SHA Wei, HUANG Mingzhe. Multiscale Topology Optimization of Lattice Thermal Dissipation Structures Based on Anisotropic Material Interpolation[J]. Journal of Mechanical Engineering, 2024, 60(13): 71-80.

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