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| Application research of the MLPG mixed collocation method in shape optimization |
| Received:September 21, 2009 Revised:June 25, 2010 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201101002 |
| KeyWord:meshless method MLPG collocation shape optimization support domain |
| Author | Institution |
| 赵亮 |
北京航空航天大学 航空科学与工程学院飞机系,北京 ;中国航空综合技术研究所,北京 |
| 李书 |
北京航空航天大学 航空科学与工程学院飞机系,北京 |
| 鲁大伟 |
北京航空航天大学 航空科学与工程学院飞机系,北京 |
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| Abstract: |
| The mathematics model of the MLPG (the Meshless Local Petrov-Galerkin) mixed collocation method is built for solving the displacement and stress of 2-D elasticity, and the essential boundary condition is imposed by penalty function method, which is applied in structure shape optimization. A new design method of continuum structure is proposed with MLPG mixed collocation method and Genetic Algorithm. The select of node’s support domain radius is mainly discussed and a dynamic support domain radius chosen method is given. An optimization model is presented based on MLPG mixed collocation method. Numerical examples show that the proposed method is effective. |