考虑瞬态效应的周期性多材料传热结构拓扑优化

李信卿; 赵清海; 龙凯; 张洪信

doi:10.7527/S1000-6893.2021.25964

航空学报 >

2022 , Vol. 43 >Issue 12: 425964 - 425964

DOI: https://doi.org/10.7527/S1000-6893.2021.25964

材料工程与机械制造

考虑瞬态效应的周期性多材料传热结构拓扑优化

李信卿 ,
赵清海 ,
龙凯 ,
张洪信

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1. 青岛大学机电工程学院, 青岛 266071;
2. 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, 青岛 266071;
3. 华北电力大学新能源电力系统国家重点实验室, 北京 102206

收稿日期: 2021-06-16

修回日期: 2021-07-05

网络出版日期: 2021-08-17

基金资助

国家自然科学基金（52175236）；中国博士后科学基金面上项目（2017M612191）

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Topology optimization of periodic multi-material heat conduction structures considering transient effects

LI Xinqing ,
ZHAO Qinghai ,
LONG Kai ,
ZHANG Hongxin

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1. College of Mechanical and Electrical Engineering, Qingdao University, Qingdao 266071, China;
2. National and Local Union Engineering Research Center of Electric Vehicle Intelligent Power Integration Technology, Qingdao University, Qingdao 266071, China;
3. State Key Laboratory for Alternative Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China

Received date: 2021-06-16

Revised date: 2021-07-05

Online published: 2021-08-17

Supported by

National Natural Science Foundation of China (52175236); China Postdoctoral Science Foundation (2017M612191)

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摘要

常规传热结构的周期性拓扑优化通常基于稳态热传导模型，并未考虑瞬态效应对设计结果的影响。针对瞬态热传导目标响应最大值最小化问题，搭建基于Ordered-RAMP法的多材料插值模型，提出一种周期性多材料瞬态热传导拓扑优化设计方法。该方法分别以时间历程内传热结构最高温度最小化与最高散热耗能最小化为设计目标，引入聚合函数处理设计变量的瞬态响应不可微问题，并通过重新分配单元目标函数基值实现子区域周期性约束设置。数值算例验证了所提方法的有效性和可行性。结果表明：不同热负荷工作时间下，均可得到材料分布合理、边界清晰的周期性拓扑构型，并能实现不同设计目标下的性能最优；周期性约束会对拓扑构型产生影响，且子区域数目越多优化目标越差。

关键词： 瞬态效应; 传热结构; 周期性; 多材料; 最高温度; 散热耗能

本文引用格式

李信卿 , 赵清海 , 龙凯 , 张洪信 . 考虑瞬态效应的周期性多材料传热结构拓扑优化[J]. 航空学报, 2022 , 43(12) : 425964 -425964 . DOI: 10.7527/S1000-6893.2021.25964

Abstract

Periodic topology optimization of conventional heat transfer structures is based on the steady-state model without considering the influence of transient effects. Based on the multi-material interpolation model of Ordered-RAMP, a periodic transient heat conduction topology optimization model is constructed to minimize the maximum temperature and the maximum heat dissipation energy minimization of the heat conduction structure during the whole working time. Considering the transient heat transfer effect, the aggregation function is set in the mathematical model instead of the original design target, and the transient heat sensitivity format is derived by the concomitant variable method. Sub-region periodic constraint setting is achieved by reassigning the base value of the cell objective function. The numerical examples verify the effectiveness and feasibility of the proposed method. The results show that the periodic topological configuration with reasonable material distribution and clear boundary can be obtained under different thermal load working time, and the optimal performance can be achieved under different design objectives. The periodic constraint affects the topological configuration, and the more the number of sub-regions the worse the optimization objective.

Key words： transient effect; heat transfer structure; periodicity; multi-material; maximum temperature; heat dissipation energy

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