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NUMERICAL ANALYSIS OF MINDLIN SHELL BY MESHLESS LOCAL PETROV-GALERKIN METHOD 被引量:4

NUMERICAL ANALYSIS OF MINDLIN SHELL BY MESHLESS LOCAL PETROV-GALERKIN METHOD
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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. 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.
出处 《Acta Mechanica Solida Sinica》 SCIE EI 2008年第2期160-169,共10页 固体力学学报(英文版)
基金 the Scientific Foundation of National Outstanding Youth of China(No.50225520) the Science Foundation of Shandong University of Technology of China(No.2006KJM33).
关键词 meshless methods meshless local Petrov-Galerkin method moving least square SHELL meshless methods meshless local Petrov-Galerkin method moving least square shell
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  • 1S. N. Atluri,T. Zhu.A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics[J].Computational Mechanics.1998(2)
  • 2B. Nayroles,G. Touzot,P. Villon.Generalizing the finite element method: Diffuse approximation and diffuse elements[J].Computational Mechanics.1992(5)
  • 3龙述尧.弹性力学问题的局部Petrov-Galerkin方法[J].力学学报,2001,33(4):508-518. 被引量:72

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