APPROACH FOR LAYOUT OPTIMIZATION OF TRUSS STRUCTURES WITH DISCRETE VARIABLES UNDER DYNAMIC STRESS, DISPLACEMENT AND STABILITY CONSTRAINTS

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 dynamic stress, dynamic...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2006-05, Vol.27 (5), p.593-599
Main Author: 石连栓 王跃方 孙焕纯
Format: Article
Language:English
Subjects:
Displacement
Dynamics
Mathematical analysis
Mathematical models
Optimization
Stability
Stresses
Trusses
动态应力约束
动态置换约束
最优设计规划
离散变量
结构最优化
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Summary: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 dynamic stress, dynamic displacement and dynamic stability constraints were transformed into one subjected to static stress, displacement and stability constraints. The optimization procedures include two levels, i.e., the topology optimization and the shape optimization. In each level, 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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-0504-y