| 具有动应力和动位移约束的离散变量结构拓扑优化设计方法 |
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| 引用本文： | 石连栓,孙焕纯,冯恩民. 具有动应力和动位移约束的离散变量结构拓扑优化设计方法[J]. 应用数学和力学, 2001, 22(7): 695-700 |
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| 作者姓名： | 石连栓 孙焕纯 冯恩民 |
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| 作者单位： | 1.天津职业技术师范学院计算机系, 天津 300222; |
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| 基金项目： | 国家自然科学基金资助项目(19871009，10002005)，天津教委科研项目(20010210) |
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| 摘 要： | 讨论了动应力、动位移约束下离散变量结构拓扑优化设计问题.首先给出问题的数学模型,然后用拟静力算法,将结构惯性力极值作为静载荷施加到结构上,求得结构的动位移和动内力,将考虑动应力约束和动位移约束的离散变量结构拓扑设计问题化为静应力和静位移约束的优化问题,然后利用两类变量统一考虑的离散变量结构拓扑优化设计的综合算法进行求解.
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| 关 键 词： | 离散变量 结构优化 拓扑优化 动应力约束 动位移约束 |
| 文章编号： | 1000-0887(2001)07-0695-06 |
| 收稿时间： | 2000-05-23 |
| 修稿时间： | 2000-05-23 |
A Method for Topological Optimization of Structures with Discrete Variables underDynamic Stress and Displacement Constraints |
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| SHI Lian_shuan ,SUN Huan_chun ,FENG En_min. A Method for Topological Optimization of Structures with Discrete Variables underDynamic Stress and Displacement Constraints[J]. Applied Mathematics and Mechanics, 2001, 22(7): 695-700 |
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| Authors: | SHI Lian_shuan SUN Huan_chun FENG En_min |
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| Affiliation: | 1.Department of Computer, Tianjin Vocational Technical Teacher' College, Tianjin 300222, P. R. China;2.Department of Mechanics, Dalian University of Technology, Dalian 116023, P. R. China;3.Department of Mathematics, Dalian University of Technology, Dalian 116023, P. R. China |
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| Abstract: | A method for topological optimization of structures with discrete variables subjected to dynamic stress and displacement constraints is presented. By using the quasi_static method, the structure optimization problem under dynamic stress and displacement constraints is converted into one subjected to static stress and displacement constraints. The comprehensive algorithm for topological optimization of structures with discrete variables is used to find the optimum solution. |
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| Keywords: | discrete variables structure optimization topopogical optimization dynamic stress constraint dynamic displacement constraint |
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