| NUMERICAL ANALYSIS OF MINDLIN SHELL BY MESHLESS LOCAL PETROV-GALERKIN METHOD |
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| 作者单位： | Di Li~(1，2) Zhongqin Lin~1 Shuhui Li~1 (1 School of Mechanical Engineering，Shanghai Jiaotong University，Shanghai 200030，China) (2 School of Transportation and Vehicle Engineering，Shandong University of Technology，Zibo 255049，China) |
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| 基金项目： | Project supported by the Scientific Foundation of National Outstanding Youth of China （No.50225520） and the Science Foundation of Shandong University of Technology of China （No. 2006KJM33）. |
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| 摘 要： | The objectives of this study are to employ the meshless local Petrov-Galerkin method （MLPGM） to solve three-dimensional shell problems. The computational accuracy of MLPGM for shell problems is affected by many factors, including the dimension of compact support domain, the dimension of quadrture domain, the number of integral cells and the number of Gauss points. These factors＇ sensitivity analysis is to adopt the Taguchi experimental design technology and point out the dimension of the quadrature domain with the largest influence on the computational accuracy of the present MLPGM for shells and give out the optimum combination of these factors. A few examples are given to verify the reliability and good convergence of MLPGM for shell problems compared to the theoretical or the finite element results.
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| 关 键 词： | Petrov-Galerkin方法 无网孔 移动最小面积 数学物理 |
| 收稿时间： | 12 December 2007 |
NUMERICAL ANALYSIS OF MINDLIN SHELL BY MESHLESS LOCAL PETROV-GALERKIN METHOD |
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| Authors: | Di Li Zhongqin Lin Shuhui Li |
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| Institution: | [1]School of Mechanical Engineering, Shanghai Jiaotong University, Shanghai 200030, China [2]School of Transportation and Vehicle Engineering, Shandong University of Technology, Zibo 255049, China |
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| Abstract: | The objectives of this study are to employ the meshless local Petrov-Galerkin method (MLPGM) to solve three-dimensional shell problems.The computational accuracy of MLPGM for shell problems is affected by many factors,including the dimension of compact support do- main,the dimension of quadrture domain,the number of integral cells and the number of Gauss points.These factors' sensitivity analysis is to adopt the Taguchi experimental design technology and point out the dimension of the quadrature domain with the largest influence on the computa- tional accuracy of the present MLPGM for shells and give out the optimum combination of these factors.A few examples are given to verify the reliability and good convergence of MLPGM for shell problems compared to the theoretical or the finite element results. |
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| Keywords: | meshless methods meshless local Petrov-Galerkin method moving least square shell |
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