SHI Lian-shuan, WANG Yue-fang, SUN Huan-chun. Approach for Layout Optimization of Truss Structures With Discrete Variables Under Dynamic Stress, Displacement and Stability Constraints[J]. Applied Mathematics and Mechanics, 2006, 27(5): 527-532.
 Citation: SHI Lian-shuan, WANG Yue-fang, SUN Huan-chun. Approach for Layout Optimization of Truss Structures With Discrete Variables Under Dynamic Stress, Displacement and Stability Constraints[J]. Applied Mathematics and Mechanics, 2006, 27(5): 527-532.

# Approach for Layout Optimization of Truss Structures With Discrete Variables Under Dynamic Stress, Displacement and Stability Constraints

• Rev Recd Date: 2006-01-17
• Publish Date: 2006-05-15
• A mathematical model was developed for layout optimization of truss structures with discrete variables subjected to dynamic stress, dynamic displacement and dynamic stability constraints. By using the quasi-static method, the mathematical model of structure optimization under the dynamic stress, dynamic displacement and dynamic stability constraints were transformed into one subjected to static stress, displacement and stability constraints. The optimization procedures included two parts, i.e. the topology optimization and the shape optimization. In each procedure, the comprehensive algorithm was used and the relative difference quotients of two kinds of variables were used to search the optimum solution. A comparison between the optimum results of model with stability constraints and the optimum results of model without stability constraint was given. And that shows the stability constraints have a great effect on the optimum solutions.
•  [1] 孙焕纯，柴山，王跃方，等.离散变量结构优化设计[M].大连:大连理工大学出版社，2002，358—377. [2] 孙焕纯，石连拴，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. [3] 石连拴,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. [4] Chai S，Shi L S,Sun H C.An application of relative difference quotient algorithm to topology optimization of truss structures with discrete variables[J].Struct Optim,1999,18(1):48—55. [5] Chai S,Sun H C.A relative difference quotient algorithm for discrete optimization[J].Struct Optim,1996,12(1):45—56. [6] Li X S.An aggregate function method for nonlinear programming[J].Science in China, Series A,1991,34(1):1467—1473. [7] 孙焕纯,王跃方.对桁架结构稳定分析经典理论的讨论[J].计算力学学报，2005,22(3):316—319.

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