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| A comprehensive algorithm for shape optimization of structures with discrete variables |
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| DOI：10.7511/jslx19994070 |
| KeyWord:discrete variable,shape optimization/relative differnce quotience |
| Shi Lianshuan 1 Sun Huanchun 2 Cai Shan 3 |
Shi Lianshuan, Sun Huanchun;(State Key Laboratory Structural
Analysis of Industrial Equipment,Dalian University of Technology, Dalian 116023,China)
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| Abstract: |
| In this paper, a method for shape optimization with discrete sectional variables and continuous shape variables is presented. In the procedure of shape optimization, first, an approximate model is given by utilizing structural analysis based on the first order Taylor series expansion with respect to the member forces. Then, the multiconstraint problem are converted to a single constraint problem. After the cotinuous design region of shape variables are convered to a discrete set, the shape variables and sectional area variables can be considered simultaniously and the relative difference quotient values with respect to two kins of variables can be used to determine which variable shoulded be optimized. The algorithm is applied to several classical structural optimization examples and the results indicate that the algorithm has higher computational efficiency and accracy. |
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