| Topology Optimal Design of Material Microstructures Using Strain Energy-based Method |
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| 作者姓名： | Zhang Weihong Wang Fengwen Dai Gaoming Sun Shiping |
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| 作者单位： | The Key Laboratory of Contemporary Design and Integrated Manufacturing Technology, Northwestern Polytechnical University, Xi ＇an 710072, China |
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| 基金项目： | National Natural Science Foundation of China （90405016, 10676028）; 973 Program （2006CB601205）; 863 Project （2006AA04Z 122）; Aeronautical Science Foundation （04B53080, 2006ZA 53006） and 111 Project （B07050） |
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| 摘 要： | 提出了基于能量法的微结构灵敏度计算和构型优化新方法,与均匀化方法相比,虽然本质相同,但计算效率高、且软件实现更加简便。本文以微结构等效弹性矩阵各分量的不同组合为设计目标,采用对偶凸规划方法结合周长约束策略进行二维、三维微结构构型优化设计。算例结果表明,采用能量法的微结构优化方法与均匀化方法具有相同的效果,不仅能获得具有极端特性构型的材料微结构,而且具有推导简洁、编程简单的优点。
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| 关 键 词： | 匀化方法 显微结构设计 拓扑学优化 基于模态应变能结构损伤检测法研究 |
| 修稿时间： | 2006-04-142007-05-20 |
Topology Optimal Design of Material Microstructures Using Strain Energy-based Method |
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| Zhang Weihong Wang Fengwen Dai Gaoming Sun Shiping.Topology Optimal Design of Material Microstructures Using Strain Energy-based Method[J].Chinese Journal of Aeronautics,2007,20(4):320-326. |
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| Abstract: | Sensitivity analysis and topology optimization of microstructures using strain energy-based method is presented. Compared with homogenization method, the strain energy-based method has advantages of higher computing efficiency and simplified programming. Both the dual convex programming method and perimeter constraint scheme are used to optimize the 2D and 3D microstructures. Numerical results indicate that the strain energy-based method has the same effectiveness as that of homogenization method for orthotropic materials. |
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| Keywords: | strain energy-based method homogenization method microstructure design topology optimization |
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