| 考虑材料设计变量的热-固耦合结构的优化设计 |
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| 引用本文： | 刘涛,邓子辰.考虑材料设计变量的热-固耦合结构的优化设计[J].固体力学学报,2006,27(4):374-378. |
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| 作者姓名： | 刘涛 邓子辰 |
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| 作者单位： | 1. 西北工业大学工程力学系,西安,710072
2. 大连理工大学工业装备结构分析国家重点实验室,大连,116024 |
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| 基金项目： | 国家自然科学基金(10372084)，教育部新世纪优秀人才基金(NCET-04-0958)，大连理工大学工业装备结构分析国家重点实验室开放基金，西北工业大学博士创新基金资助 |
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| 摘 要： | 从材料-结构协同设计的角度研究了热-固耦合结构的优化设计问题,将决定结构材料性质的细观参数与结构宏观几何参数作为设计变量,利用均匀化方法推导了细观设计变量灵敏度显式计算式,并结合耦合场有限元方程构造了耦合场设计变量灵敏度计算式;提出了材料-结构协同设计的三种优化设计模型.利用结构响应最小优化模型对算例进行了计算,比较了宏观设计变量优化和材料-结构协同设计优化的效果.计算结果显示,材料-结构协同优化设计可以取得较单一宏观设计变量更好的优化效果.
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| 关 键 词： | 结构优化 材料设计变量 结构设计变量 均匀化方法 热-固耦合结构 本构关系 有限元 |
| 收稿时间： | 2005-03-08 |
| 修稿时间： | 2006-06-12 |
THE DESIGN OPTIMIZATION FOR THERMAL-STRESS COUPLED STRUCTURES BY CONSIDERING STRUCTURAL DESIGN VARIABLES AND MATERIAL DESIGN VARIABLES SIMULTANEOUSLY |
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| Liu Tao,Deng Zichen.THE DESIGN OPTIMIZATION FOR THERMAL-STRESS COUPLED STRUCTURES BY CONSIDERING STRUCTURAL DESIGN VARIABLES AND MATERIAL DESIGN VARIABLES SIMULTANEOUSLY[J].Acta Mechnica Solida Sinica,2006,27(4):374-378. |
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| Authors: | Liu Tao Deng Zichen |
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| Institution: | 1. Department of Engineering Mechanics, Northwestern Polytechnical University , Xian , 710072; 2 State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian, 116023 |
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| Abstract: | In this presented paper,the design optimization for thermal-stress coupled structures is investigated by optimizing structural macro-parameters and material micro-parameters simultaneously.The structural macro-parameters and material micro-parameters,which determine the material properties,are defined as the design variables.The sensitivity analysis of microdesign variables is presented for periodic composite by employing homogenization method and finite element method.Furthermore,combining all multiscale variables,the variable sensitivities for thermal-stress coupled field are derived using the finite element method.Three optimization models are proposed for multiscale variables optimization,which are minimum-weight model,minimum-response model and minimum-compliance model respectively.Based on the minimum-response model,a numerical example is presented to prove that the design optimization with multiscale variables is more effective than the simple design optimization for structural macro-parameters. |
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| Keywords: | composite materials design optimization homogenization method thermal-stress coupled field multiscale design variables constitutive relationship finite element |
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