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A note on the dynamic analysis using the generalized finite difference method. (English) Zbl 1290.74043
Summary: 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.

##### MSC:
 74S20 Finite difference methods applied to problems in solid mechanics 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74K20 Plates 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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