A note on the dynamic analysis using the generalized finite difference method

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• 作者：L. Gavete^a ; ^{lu.gavete@upm.es} ; F. Ureñ ; a^b ; ^{francisco.urena@uclm.es} ; J.J. Benito^c ; ^{jbenito@ind.uned.es} ; E. Salete^c ; ^{esalete@ind.uned.es}
• 关键词：65M06 ; 65M12 ; 74S20 ; 80M20
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2013
• 出版时间：November, 2013
• 年：2013
• 卷：252
• 期：Complete
• 页码：132-147
• 全文大小：816 K

文摘

This paper shows the application of the generalized finite difference method (GFDM) to the problem of dynamic analysis of beams and plates. The stability conditions for a fully explicit algorithm are given for beams and plates. Measures of the irregularity of the clouds of points for beams and plates are given. Various cases of vibrations of beams and plates have been solved and the results show the accuracy of the method for irregular clouds of nodes.