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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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)

A Method for Topological Optimization of Structures with Discrete Variables under Dynamic Stress and Displacement Constraints

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

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.
- 离散变量 /
- 结构优化 /
- 拓扑优化 /
- 动应力约束 /
- 动位移约束
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.
- discrete variables /
- structure optimization /
- topopogical optimization /
- dynamic stress constraint /
- dynamic displacement constraint

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