Topology Optimization Design of Heat Dissipation Structures Based on the Adaptive Feature-driven Method

doi:10.3901/JME.2024.15.346

Abstract

Abstract: Topology optimization technology has become an effective design method for high-performance heat dissipation structures. The typical optimization results of heat dissipation structures often show the characteristics of many small features and complex topology configurations. However, the traditional topology optimization method has great difficulties in the model reconstruction of the small features of the heat dissipation structure because the design results are difficult to be accurately imported into the CAD system and/or the resulting boundary is not clear and smooth;New topology optimization methods, such as feature-driven method and moving morphable components method, which can seamlessly connect with the CAD system, are difficult to be used to design heat dissipation structure with complex topology configuration because of their initial layout dependence.In view of this, with the help of the hierarchical growth technology of the tree branch structure of the bionic topology optimization method, a new adaptive feature-driven method is developed to provide a reasonable initial layout for the feature-driven optimization of the heat dissipation structure.In order to enlarge the design space as much as possible to obtain better results, two B-spline functions are used to construct bendable features with sufficient deformation ability;In order to reflect the hierarchical relationship of the bionic tree branch structure in the optimization process, the starting point of the branch feature is directly defined in the parameter domain of the main branch feature based on the mapping idea.The topology optimization of the heat dissipation structure under different boundary conditions is carried out with the optimization goal of minimizing the thermal compliance and the given volume fraction of high thermal conductivity material as the constraint.Numerical examples show that the proposed adaptive feature-driven method can obtain the design results of heat dissipation structures with clear and smooth boundaries and excellent performance using relatively few design variables.

Key words: topology optimization, heat dissipation structure, feature-driven method, bionic design, self-adaption

CLC Number:

TH122

SUN Yuxin, CAI Shouyu, ZHANG Xu, WANG Ke. Topology Optimization Design of Heat Dissipation Structures Based on the Adaptive Feature-driven Method[J]. Journal of Mechanical Engineering, 2024, 60(15): 346-357.

References

[1] BENDSØE M P.Optimal shape design as a material distribution problem[J].Structural Optimization，1989，1(4):193-202.
[2] XIE Y M，STEVEN G P.A simple evolutionary procedure for structural optimization[J].Computers and Structures，1993，49(5):885-896.
[3] WANG M Y，WANG X M，GUO D M.A level set method for structural topology optimization[J].Computer Methods in Applied Mechanics and Engineering，2003，192(1-2):227-246.
[4] BENDSØE M P，SIGMUND O.Topology optimization: Theory，methods and applications[M].New York:Springer-Verlag，2003.
[5] 左孔天，陈立平，张云清，等.用拓扑优化方法进行热传导散热体的结构优化设计[J].机械工程学报，2005，41(4):13-16.ZUO Kongtian，CHEN Liping，ZHANG Yunqing，et al.Structural optimal design of heat conduction body with topology optimization method[J].Journal of Mechanical Engineering，2005，41(4):13-16.
[6] 左孔天，赵雨东，陈立平.传热结构的多目标拓扑优化设计研究[J].计算力学学报，2007(5):620-627.ZUO Kongtian，ZHAO Yudong，CHEN Liping.Study on multiple objective topology optimization of thermal conductive structure[J].Chinese Journal of Computational Mechanics，2007(5):620-627.
[7] 陈拥平，高亮，肖蜜.基于变密度法的散热结构拓扑优化设计[J].计算机集成制造系统，2018，24(1):117-126.CHEN Yongping，GAO Liang，XIAO Mi.Topology optimization design of heat dissipation structures based on variable density method[J].Computer Integrated Manufacturing Systems，2018，24(1):117-126.
[8] 乔赫廷，张永存，刘书田.散热结构拓扑优化目标函数的讨论[J].中国机械工程，2011，22(9):1112-1117，1122.QIAO Heting，ZHANG Yongcun，LIU Shutian.Discussion of objective functions in heat conduction topology optimization[J].China Mechanical Engineering，2011，22(9):1112-1117,1122.
[9] TANG L，GAO T，SONG L L，et al.Topology optimization of nonlinear heat conduction problems involving large temperature gradient[J].Computer Methods in Applied Mechanics and Engineering，2019，357:112600.
[10] 赵清海，张洪信，蒋荣超，等.考虑拓扑相关热载荷的散热结构多相材料拓扑优化设计[J].中国机械工程，2020，31(20):2403-2411.ZHAO Qinghai，ZHANG Hongxin，JIANG Rongchao，et al.Multi-phase material topology optimization design of heat dissipation structures considering topology-dependent heat sources[J].China Mechanical Engineering，2020，31(20):2403-2411.
[11] WU S H，ZHANG Y C，LIU S T.Transient thermal dissipation efficiency based method for topology optimization of transient heat conduction structures[J].International Journal of Heat and Mass Transfer，2021，170(3):121004.
[12] 隋允康，叶红玲.连续体结构拓扑优化的ICM方法[M].北京:科学出版社，2013.SUI Yunkang，YE Hongling.ICM method for topology optimization of continuum structures[M].Beijing:Science Press，2013.
[13] LI Q，STEVEN G P，XIE Y M，et al.Evolutionary topology optimization for temperature reduction of heat conducting fields[J].International Journal of Heat and Mass Transfer，2004，47(23):5071-5083.
[14] GAO T，ZHANG W H，ZHU J H，et al.BASSIR DH.Topology optimization of heat conduction problem involving design-dependent heat load effect[J].Finite Elements in Analysis and Design，2008，44(14):805-813.
[15] 龙凯，左正兴.多工况稳态热传导下的连续体拓扑优化[J].中国机械工程，2007，18(16):38-42.LONG Kai，ZUO Zhengxing.Topological optimization of continuum structure for heat conduction under multiple loading cases[J].China Mechanical Engineering，2007，18(16):38-42.
[16] 龙凯，贾娇.基于ICM法的传热结构周期性拓扑优化设计[J].工程力学，2015，32(5):227-235.LONG Kai，JIA Jiao.Periodic topology optimization design for thermal conductive structure using ICM method[J].Engineering Mechanics，2015，32(5):227-235.
[17] HA S H，CHO S.Topological shape optimization of heat conduction problems using level set approach[J].Numerical Heat Transfer Part B-Fundamentals，2005，48:67-88.
[18] XIA Q，SHI T L，XIA L.Topology optimization for heat conduction by combining level set method and BESO method[J].International Journal of Heat and Mass Transfer，2018，127:200-209.
[19] ZHUANG C G，XIONG Z H，DING H.Topology optimization of transient nonlinear heat conduction using an adaptive parameterized level-set method[J].Engineering Optimization，2021，53(12):2017-2039.
[20] 张卫红，周莹，酒丽朋，等.特征驱动的结构拓扑优化方法[J].中国科学:技术科学，2019，49(10):1177-1185.HANG Weihong，ZHOU Ying，JIU Lipeng，et al.Feature-driven method for structural topology optimization[J].Scientia Sinica Technologica，2019，49(10):1177-1185.
[21] ZHOU Y，ZHANG W H，ZHU J H，et al.Feature-driven topology optimization method with signed distance function[J].Computer Methods in Applied Mechanics and Engineering，2016，310:1-32.
[22] ZHANG W H，ZHOU Y，ZHU J H.A comprehensive study of feature definitions with solids and voids for topology optimization[J].Computer Methods in Applied Mechanics and Engineering，2017，325:289-313.
[23] GUO X，ZHANG W S，ZHONG W L.Doing topology optimization explicitly and geometrically—A new moving morphable components based framework[J].Journal of Applied Mechanics，2014，81(8):081009.
[24] ZHANG W S，YUAN J，ZHANG J，et al.A new topology optimization approach based on moving morphable components (MMC) and the ersatz material model[J].Structural and Multidisciplinary Optimization，2016，53(6):1243-1260.
[25] 蔡守宇，张卫红，高彤，等.基于固定网格和拓扑导数的结构拓扑优化自适应泡泡法[J].力学学报，2019，51(4):1235-1244.CAI Shouyu，ZHANG Weihong，GAO Tong，et al.Adaptive bubble method using fixed mesh and topological derivative for structural topology optimization[J].Chinese Journal of Theoretical and Applied Mechanics，2019，51(4):1235-1244.
[26] CAI S Y，ZHANG W H.An adaptive bubble method for structural shape and topology optimization[J].Computer Methods in Applied Mechanics and Engineering，2020，360:112778.
[27] CUI T C，DU Z L，LIU C，et al.Explicit topology optimization with moving morphable component (MMC) introduction mechanism[J].Acta Mechanica Solida Sinica，2022，35:384-408.
[28] 熊敏，丁晓红，季懿栋，等.树状分支传热结构层次生长优化设计技术[J].中国机械工程，2019，30(22):2668-2674.XIONG Min，DING Xiaohong，JI Yidong，et al.Hierarchy growth method for optimal design of branching heat transfer structures[J].China Mechanical Engineering，2019，30(22):2668-2674.
[29] JI Y D，DING X H，LI H，et al.Layout design of conductive heat channel by emulating natural branch systems[J].Journal of Bionic Engineering，2018，15(3):567-578.
[30] SVANBERG K.The method of moving asymptotes—a new method for structural optimization[J].International Journal for Numerical Methods in Engineering，1987，24(02):359-373.
[31] 李昊，丁晓红，景大雷.液冷通道分布优化设计的仿真和试验研究[J].机械工程学报，2019，55(10):198-206.LI Hao，DING Xiaohong，JING Dalei.Experimental and numerical investigation of fluid cooling channel layout designed by topology optimization[J].Journal of Mechanical Engineering，2019，55(10):198-206.
[32] 孟凡振，丁晓红，李昊，等.层次脉状结构液冷均温板优化设计研究[J].机械工程学报，2022，58(22):426-437.MENG Fanzhen，DING Xiaohong，LI Hao，et al.Study on optimal design of liquid cooling uniform temperature plate embedded with hierarchical vein structure[J].Journal of Mechanical Engineering，2022，58(22):426-437.