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基于杂交元和变密度法的连续体结构拓扑优化设计
引用本文:袁振,吴长春,庄守兵. 基于杂交元和变密度法的连续体结构拓扑优化设计[J]. 中国科学技术大学学报, 2001, 31(6): 694-699
作者姓名:袁振  吴长春  庄守兵
作者单位:中国科学技术大学力学与机械工程系,合肥230026
基金项目:国家自然科学基金资助项目(10102018)
摘    要:将杂交元推广于结构拓扑优化设计,推导了拓扑优化中数值计算和敏度分析的基本方程,对等参元和杂交元的拓扑优化结果进行了对照,最后的优化布局表明:使用杂交元能得到较好的拓扑优化结果,再实施过滤技术,优化结果会更加精致。杂交元不仅能提供更高精度的拓扑优化结果,而且还能进一步克服等参元难免的棋盘格式问题。

关 键 词:拓扑优化 杂交元 棋盘格式 变密度法 连续体结构 设计
文章编号:0253-2778(2001)06-0694-06
修稿时间:2001-08-29

Topology Optimization of Continuum Structure Using Hybrid Elements and Ariticial Material Model
YUAN Zhen,WU Chang-chun,ZHUANG Shou-bing. Topology Optimization of Continuum Structure Using Hybrid Elements and Ariticial Material Model[J]. Journal of University of Science and Technology of China, 2001, 31(6): 694-699
Authors:YUAN Zhen  WU Chang-chun  ZHUANG Shou-bing
Abstract:Hybrid elements are used in this paper for topology optimization of continuum structure. And expressions have been derived for analytical response sensitivity computation and numerical computation in topology optimization process. Numerical examples of plane problem are presented and numerical results of 4-node hybrid elements have been compared with those of 4-node isoparametric compatible ones. The improvement in the accuracy of final optimal results using hybrid elements as compared with conventional isoparametric elements is examined and the passibility of solving checkboard pattern problems is greatly improved.
Keywords:topology optimization  hybrid element  checkerboard pattern
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