| 赵亮,李书,鲁大伟.MLPG混合配点法在形状优化中的应用研究[J].计算力学学报,2011,28(1):8~14 |
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| MLPG混合配点法在形状优化中的应用研究 |
| Application research of the MLPG mixed collocation method in shape optimization |
| 投稿时间：2009-09-21 修订日期：2010-06-25 |
| DOI：10.7511/jslx201101002 |
| 中文关键词: 无网格法 MLPG 配点 形状优化 支持域 |
| 英文关键词:meshless method MLPG collocation shape optimization support domain |
| 基金项目:国家自然科学基金(10772013);留学回国人员科研基金资助项目. |
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| 中文摘要: |
| 建立了无网格MLPG(Meshless Local Petrov-Galerkin)混合配点法求解二维弹性体位移、应力的数学模型,使用罚函数法添加本质边界条件,并将其应用到结构形状优化,结合遗传算法提出了一种新的连续体结构优化设计方法。对于节点支持域半径的选取进行了重点探讨,提出一种动态支持域选择方法,建立了基于MLPG混合配点法的优化模型,对两个实际工程算例进行了形状优化,并与现有结果比较,验证了该方法的有效性。 |
| 英文摘要: |
| 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. |
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