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

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摘要

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.

论文关键词:65M06,65M12,74S20,80M20,Meshless methods,Generalized finite difference method,Moving least squares,Plates,Stability

论文评审过程:Received 15 September 2011, Revised 10 May 2012, Available online 29 June 2012.

论文官网地址:https://doi.org/10.1016/j.cam.2012.06.035