| 杆、梁结构离散变量拓扑优化设计 |
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| 引用本文： | 黄荣杰,杜太生,宋天霞,陈传尧. 杆、梁结构离散变量拓扑优化设计[J]. 华中科技大学学报(自然科学版), 2003, 31(9): 39-42 |
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| 作者姓名： | 黄荣杰 杜太生 宋天霞 陈传尧 |
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| 作者单位： | 华中科技大学土木工程与力学学院 |
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| 基金项目： | 石油总公司课题 (ZJ30 /170 0CZ 2 0 5 10 ) |
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| 摘 要： | 在考虑断面面积和拓扑两类离散变量及其耦合关系的基础上,建立了离散变量拓扑优化设计的数学模型;该模型反映了拓扑优化问题的耦合优化本质,有效地避免了“极限应力”和“奇解”对拓扑优化问题的困扰;为求解上述数学模型,提出了“拟机率-网格搜索法”;用该法对包含两类变量的杆、梁结构进行了拓扑优化设计,收到了较好的效果。
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| 关 键 词： | 杆、梁结构 离散变量 拓扑优化 拟机率-网格搜索法 |
| 文章编号： | 1671-4512(2003)09-0039-04 |
| 修稿时间： | 2003-05-12 |
Topology optimization of discrete variable for rod and beam structures |
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| Huang RongjieDu TaishengSong TianxiaChen ChuanyaoDoctoral Candidate. Topology optimization of discrete variable for rod and beam structures[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 2003, 31(9): 39-42 |
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| Authors: | Huang RongjieDu TaishengSong TianxiaChen ChuanyaoDoctoral Candidate |
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| Affiliation: | Huang RongjieDu TaishengSong TianxiaChen ChuanyaoDoctoral Candidate, Institute of Civil Eng. & Mech. Huazhong Univ. of Sci.& Tech.,Wuhan 430074,China. |
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| Abstract: | A mathematical model for discrete variable topology optimum design was presented on the basis of the two types of discrete variables- range ling profile and topology and their coupled relations. The model reflected the coupling optimization essence in topology optimization matter and effectively averted the puzzle of "ultimate stress" and "singular solution" on topology optimization matter. The "Quasi probability mesh search method" was brought forward to find solutions to the mathematical model. By applying this method to the topology optimum design for rod and beam structures containing these two types of variables, better results were achieved. |
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| Keywords: | rod and beam structures discrete variable topology optimization Quasi probability mesh search method |
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