• CN:11-2187/TH
  • ISSN:0577-6686

›› 2004, Vol. 40 ›› Issue (12): 31-37.

• 论文 • 上一篇    下一篇

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基于人工材料密度的新型拓扑优化理论和算法研究

左孔天;陈立平;钟毅芳;王书亭;张云清   

  1. 华中科技大学机械工程学院
  • 发布日期:2004-12-15

NEW THEORY AND ALGORITHM RESEARCH ABOUT TOPOLOGY OPTIMIZATION BASED ON ARTIFICIAL MATERIAL DENSITY

Zuo Kongtian;Chen Liping;Zhong Yifang;Wang Shuting;Zhang Yunqin   

  1. School of Mechanical Engineering, Huazhong University of Science and Technology
  • Published:2004-12-15

摘要: 对基于人工材料密度的拓扑优化理论作了深入分析;推导出了一种基于人工材料密度的拓扑优化准则算法,将该算法应用于拓扑优化的计算中,并给出了基于人工材料密度的拓扑优化迭代分析流程;提出了一种卷积因子方法,用于消除拓扑优化计算结果中易出现的棋盘格式和多孔材料现象;通过数值计算验证了理论和算法的有效性;分析讨论了不同优化参数对拓扑优化计算结果的影响。

关键词: 卷积因子法, 人工材料密度, 数值计算, 拓扑优化, 优化准则

Abstract: The topology theory based on artificial material density is deeply analyzed. For solving the topology optimization prob-lems, a new optimization criteria based on artificial material density is deduced and used in the topology optimization. At the same time, an iteration procedure of topology optimization based on artifical material density is presented. A convolution integral factor method is introduced to eliminate the checkboard pattern and porous material in the topology optimization. The theory and algorithm are realized and verified with a numerical calculation, and the effect of different parameters to the topology optimization results is also discussed.

Key words: Convolution integral factor method, Artificial material density, Numerical calculation, optimization, Optimization criteria, Topology

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