基于应变能的结构拓扑优化设计

杜海珍; 荣见华; 傅建林; 杨振兴

基于应变能的结构拓扑优化设计

长沙理工大学汽车与机械工程学院, 湖南长沙 410076

基金项目:

交通部应用基础研究项目 200331982509

湖南省自然科学基金项目 01JJY2048

详细信息

作者简介:
杜海珍(1980-), 女, 内蒙古兴和人, 长沙理工大学硕士研究生, 从事结构优化设计研究

中图分类号: U442
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- 被引次数: 0
出版历程
- 收稿日期: 2003-12-09
- 刊出日期: 2004-09-25

Structural topology optimization design based on strain energy

School of Automobile and Mechanics Engineering, Changsha University of Technology, Changsha 410076, China

More Information

Author Bio:
DU Hai-zhen(1980-), female, graduate student, 86-731-5233623, duhaizhenss@sina

摘要

摘要: 基于在优化结构边界和孔洞周围附加人工材料的思路, 结合传统渐进结构优化法和单元应变能分析, 研究了基于应变能的结构拓扑优化方法, 给出了结构拓扑优化的基本原理, 导出了具有单元增、删功能的渐进结构优化基本公式。对具有各向同性的均质材料的桥墩和桥梁结构进行了仿真设计, 结果显示结构的最大与最小应变能的差距显著减小, 其拓扑解类似于工程中出现的结构, 表明该方法的基本原理可行、有效。
- 桥梁工程 /
- 结构优化 /
- 拓扑优化 /
- 人工材料 /
- 设计方法
Abstract: The man-made material is added around optimal structural cavities and boundaries. Based on evolutionary structural optimization (ESO) method and element strain energy analysis, a structural topology optimization method was developed with strain energy analysis. The basic theory of topology optimization was given, and the formulae of ESO method with the function of removing and adding elements were derived. Simulation designs of bridge pier and bridge structure with isotropic material were completed by the proposed method. Simulation results show that the difference between the maximum and minimum strain energy remarkably becomes little, and the topology structures are similar to the ones in engineering, which indicates that the basic principle of the proposed method is feasible for structural topology optimization.
- bridge engineering /
- structural optimization /
- topology optimization /
- man-made material /
- design method

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图 1 固定有限单元网格中单元分类

Figure 1. Element categories of fixed finite mesh domain

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图 2 桥墩结构固定网格有限元设计模型(单位: mm)

Figure 2. Design model of bridge pier structure with fixed finite mesh

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图 3 桥墩结构进化历程

Figure 3. Optimization history of bridge pier structure

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图 4 桥墩结构特性进化历程曲线

Figure 4. Evolution history of structural characteristics

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图 5 桥梁结构固定网格有限元设计模型(单位: m)

Figure 5. Design model of fixed finite mesh of bridge structure

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图 6 桥梁结构进化历程

Figure 6. Optimization history of bridge structure

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图 7 桥梁结构特性进化历程曲线

Figure 7. Evolution history of structural characteristics

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图 8 两工况下桥梁结构的进化历程

Figure 8. Optimization history of bridge structure under two load cases

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参考文献(6)

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