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

SHI Lian-shuan; WANG Yue-fang; SUN Huan-chun

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(5): 527-532

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.

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

1.
Department of Computer, Tianjin University of Technology and Education, Tianjin 300222, P. R. China;

Received Date: 2004-08-31
Rev Recd Date: 2006-01-17
Publish Date: 2006-05-15

Abstract

Abstract

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.
- discrete variables,
- structure optimization,
- layout optimum design,
- dynamic stress constraint,
- dynamic displacement constraint,
- dynamic stability constraint

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References(7)

References

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