Topology optimization for thermal structures considering design-dependent convection boundaries based on the bidirectional evolutionary structural optimization method

IF 1 4区工程技术 Q4 ENGINEERING, MECHANICAL Mechanical Sciences Pub Date : 2023-05-05 DOI:10.5194/ms-14-223-2023

Yanding Guo, D. Wei, T. Gang, Xining Lai, X. Yang, G. Xiao, Lijie Chen

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引用次数: 1

Abstract

Abstract. Based on the bidirectional evolutionary structural optimization (BESO) method, the present article proposes an optimization method for a thermal structure involving design-dependent convective boundaries. Because the BESO method is incapable of keeping track of convection boundaries, virtual elements are introduced to assist in identifying the convection boundaries of the structure. In order to solve the difficult issue of element assignment under a design-dependent convection boundary, label matrixes are employed to modify the heat transfer matrix and the equivalent temperature load vector of elements over topology iterations. Additionally, the optimization objective is set to minimize the maximum temperature of the structure in order to deal with the objective reasonableness, and the p-norm method is then used to fit the objective function to calculate sensitivity. Finally, several cases, including 2D and 3D structures under various heat transfer boundary conditions, are provided to illustrate the effectiveness and good convergence of the proposed method.

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基于双向演化结构优化方法的设计依赖对流边界热结构拓扑优化

摘要基于双向演化结构优化(BESO)方法，提出了一种涉及设计相关对流边界的热结构优化方法。由于BESO方法无法跟踪对流边界，因此引入了虚拟单元来辅助识别结构的对流边界。为了解决设计依赖的对流边界下的单元分配难题，采用标签矩阵对单元的传热矩阵和等效温度负荷矢量进行拓扑迭代修正。并以结构最高温度最小为优化目标，处理结构的客观合理性，采用p范数法对目标函数进行拟合，计算灵敏度。最后，给出了二维和三维结构在不同传热边界条件下的算例，说明了该方法的有效性和良好的收敛性。

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来源期刊

Mechanical Sciences ENGINEERING, MECHANICAL-

CiteScore

2.20

自引率

7.10%

发文量

审稿时长

29 weeks

期刊介绍： The journal Mechanical Sciences (MS) is an international forum for the dissemination of original contributions in the field of theoretical and applied mechanics. Its main ambition is to provide a platform for young researchers to build up a portfolio of high-quality peer-reviewed journal articles. To this end we employ an open-access publication model with moderate page charges, aiming for fast publication and great citation opportunities. A large board of reputable editors makes this possible. The journal will also publish special issues dealing with the current state of the art and future research directions in mechanical sciences. While in-depth research articles are preferred, review articles and short communications will also be considered. We intend and believe to provide a means of publication which complements established journals in the field.