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基于均匀化理论的拓扑优化算法研究 被引量:8

Algorithm of topology optimization based on homogenization theory
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摘要 在研究均匀化理论和拓扑优化理论基础上 ,推导了复合材料的均匀化求解方程 ,并将均匀化理论应用于拓扑优化中 。 The homogenization and topology optimization theories were analyzed. The equations used for solving the homogenization problems of composite were presented. The homogenization theory was introduced to the topology optimization, and a 2-D topology optimization algorithm based on homogenization theory was deduced.
出处 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2004年第10期25-27,30,共4页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 国家航天部载人航天计划"92 1"工程重点子项目 国家高技术研究发展计划资助项目 (2 0 0 3AA0 0 10 31)
关键词 均匀化理论 拓扑优化 求解算法 算法研究 复合材料 二维拓扑优化 homogenization theory topology optimization optimization algorithm
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参考文献2

  • 1Martin Philip Bendsoe, Noboru Kikuchi. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 1988,71: 197-224
  • 2Suzuki K, Kikuchi N. A homogenization method for shape and topology optimization. Computer Methods in Applied Mechanics and Engineering, 1991, 93: 291-381

同被引文献44

  • 1简弃非,甘庆军,许石嵩.换热器翅片表面空气流动热力过程的数值模拟[J].华南理工大学学报(自然科学版),2004,32(9):67-71. 被引量:21
  • 2周克民,李俊峰,李霞.结构拓扑优化研究方法综述[J].力学进展,2005,35(1):69-76. 被引量:194
  • 3刘志强,王明强.基于SIMP拓扑优化理论的结构概念设计研究[J].江苏科技大学学报(自然科学版),2006,20(1):65-68. 被引量:24
  • 4刘书田,程耿东.复合材料应力分析的均匀化方法[J].力学学报,1997,29(3):306-313. 被引量:46
  • 5Bejan A.Constructal-theory network of conducting paths for cooling a heat generating volume [J].International Journal of Heat and Mass Transfer,1997,40 (4):799-816.
  • 6Bejan A.From heat transfer principles to shape and structure in nature:constructal theory [J].ASME Journal of Heat Transfer,2000,122 (3) :430- 449.
  • 7Snider A D.General extended surface analysis method [J].Journal of Heat Transfer,1981,103(4):699-704.
  • 8Li Qing,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,2004,47:5071-5083.
  • 9Bendsoe M P,Sigmud O.Topology optimization:theory,method,and application [M].New York:Spring,2003.
  • 10Sigmund O,Petersson J.Numerical instabilities in topology optimization:A survey on procedures dealing with checkboards,mesh-dependencies and local minima [J].Struct Optim,1998,16:68-75.

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