应用数学和力学2024,Vol.45Issue(1) :72-84.DOI:10.21656/1000-0887.440126

考虑Gauss移动热源瞬态效应的传热结构拓扑优化

Topology Optimization of Heat Transfer Structures Under Gaussian Moving Heat Source Transient Effects

周崇伟 赵清海 陈建良 时高松
应用数学和力学2024,Vol.45Issue(1) :72-84.DOI:10.21656/1000-0887.440126

考虑Gauss移动热源瞬态效应的传热结构拓扑优化

Topology Optimization of Heat Transfer Structures Under Gaussian Moving Heat Source Transient Effects

周崇伟 1赵清海 2陈建良 1时高松1
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作者信息

  • 1. 青岛大学 机电工程学院,山东 青岛 266071
  • 2. 青岛大学 机电工程学院,山东 青岛 266071;青岛大学 电动汽车智能化动力集成技术国家地方联合工程研究中心,山东 青岛 266071
  • 折叠

摘要

针对热源位置随时间发生变化的结构热传导问题,考虑Gauss移动热源进行瞬态热传导拓扑优化设计.分别以整个时间历程内传热结构散热弱度最小化与区域温度最大值最小化为设计目标,体积分数为约束条件,采用伴随变量法推导目标函数与约束条件的敏度信息,借助移动渐进线法更新设计变量,研究了不同Gauss热源移动路径与移动速度对拓扑优化结果的影响.结果表明,瞬态拓扑结构相较于稳态结果具有明显时变性,同时最佳传热构型受到热源加热时间和移动速度及路径的多重影响.

Abstract

For the structural heat transfer problem with heat sources moving with time,the Gaussian moving heat sources were considered for transient heat transfer topology optimization design.The design objectives are to minimize the total heat dissipation of the structure over the entire time history and to minimize the maximum temperature in particular regions,with the volume fraction as the constraint.Sensitivity information for the ob-jectives and constraints was derived with the adjoint variable method,and design variables were updated with the moving asymptote method.The effects of different Gaussian heat source paths and speeds on the topology optimization results were studied.The numerical results indicate that,the transient topology structure exhibits pronounced time-varying characteristics compared to the steady-state results.Moreover,the optimal heat dissi-pation configuration depends on multiple factors,including the heating time,the path and the speed of the moving heat source.

关键词

瞬态效应/Gauss移动热源/拓扑优化/散热弱度/传热结构

Key words

transient effect/Gaussian moving heat source/topology optimization/heat dissipation/heat trans-fer structure

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基金项目

国家自然科学基金(52175236)

出版年

2024
应用数学和力学
重庆交通学院

应用数学和力学

CSTPCD北大核心
影响因子:0.778
ISSN:1000-0887
参考文献量13
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