## 留言板

 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.
SHI Lian-shuan, SUN Huan-chun, FENG En-min. A Method for Topological Optimization of Structures with Discrete Variables under Dynamic Stress and Displacement Constraints[J]. Applied Mathematics and Mechanics, 2001, 22(7): 695-700.
 Citation: SHI Lian-shuan, SUN Huan-chun, FENG En-min. A Method for Topological Optimization of Structures with Discrete Variables under Dynamic Stress and Displacement Constraints[J]. Applied Mathematics and Mechanics, 2001, 22(7): 695-700.

## 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

• 中图分类号: O221.4

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

• 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.
•  [1] CHAI Shan,SHI Lian-shuan,SUN Huan-chun.An application of relative difference quotient algorithm to topology optimization of truss structures with discrete variables[J].Struct Optim,1999,18(1):48-55. [2] 李兴斯.解非线性规划的凝聚函数法[J].中国科学,1991,A(12):1283-1288. [3] 孙焕纯,石连栓,柴山.考虑动应力、动位移约束的离散变量结构优化设计[J].计算力学学报,1997,14(增刊):723-726. [4] CHAI Shan,SUN Huan-chun.A relative difference quotient algorithm for discrete optimization[J].Struct Optim,1996,12(1):45-56. [5] Salajegheh E,Vanderplaats G N.Optimum design of trusses with discrete sizing and shape variables[J].Struct Optim,1993,6(1):79-85.

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##### 出版历程
• 收稿日期:  2000-05-23
• 修回日期:  2001-02-25
• 刊出日期:  2001-07-15

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