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基于SIMP法的周期性传热材料拓扑优化

贾娇 程伟 龙凯

贾娇, 程伟, 龙凯等 . 基于SIMP法的周期性传热材料拓扑优化[J]. 北京航空航天大学学报, 2015, 41(6): 1042-1048. doi: 10.13700/j.bh.1001-5965.2014.0401
引用本文: 贾娇, 程伟, 龙凯等 . 基于SIMP法的周期性传热材料拓扑优化[J]. 北京航空航天大学学报, 2015, 41(6): 1042-1048. doi: 10.13700/j.bh.1001-5965.2014.0401
JIA Jiao, CHENG Wei, LONG Kaiet al. Topology optimization for periodic thermal conductive material using SIMP method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(6): 1042-1048. doi: 10.13700/j.bh.1001-5965.2014.0401(in Chinese)
Citation: JIA Jiao, CHENG Wei, LONG Kaiet al. Topology optimization for periodic thermal conductive material using SIMP method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(6): 1042-1048. doi: 10.13700/j.bh.1001-5965.2014.0401(in Chinese)

基于SIMP法的周期性传热材料拓扑优化

doi: 10.13700/j.bh.1001-5965.2014.0401
基金项目: 国家自然科学基金 (11202078)
详细信息
    作者简介:

    贾娇(1984—),女,内蒙古鄂尔多斯人,博士研究生,jiajiao_2012@163.com

    通讯作者:

    程伟(1961—),男,河北保定人,教授,cheng_wei@buaa.edu.cn,主要研究方向为结构动力学、微振动测试及分析、参数辨识等.

  • 中图分类号: O343.1

Topology optimization for periodic thermal conductive material using SIMP method

  • 摘要: 为了实现基于宏观热传导条件的周期性材料微结构设计,建立了基于固体各向同性材料惩罚法的周期性结构拓扑优化模型.模型以体积比为约束,散热弱度最小为优化目标.为了满足周期性约束,将设计域划分为若干相同子区域,并重新分配散热弱度.基于偏微分方程的图像处理方式可以有效地消除棋盘格和网格依赖性现象.讨论并分析了不同子区域个数及不同载荷工况对拓扑优化构型的影响.数值实验结果表明:周期性结构的建模方式可以实现基于宏观稳态热传导条件的周期性材料微结构设计.子区域个数不同时,优化得到不同的微结构构型,这反映了尺寸效应对材料设计的影响.当子区域个数不断增加时,优化结果逐渐趋向收敛于均匀化方法对应的极限值.

     

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出版历程
  • 收稿日期:  2014-07-03
  • 网络出版日期:  2015-06-20

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