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Elastic dynamic analysis of moderately thick plate using meshless LRPIM by Ping Xia; Shuyao Long; Hongxue Cui is a Engineering article available to read on EtoBox.

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A meshless local radial point interpolation method (LRPIM) for solving elastic dynamic problems of moderately thick plates is presented in this paper. The discretized system equation of the plate is obtained using a locally weighted residual method. It uses a radial basis function (RBF) coupled with a polynomial basis function as a trial function, and uses the quartic spline function as a test function of the weighted residual method. The shape function has the properties of the Kronecker delta function, and no additional treatment is done to impose essential boundary conditions. The Newmark method for solving the dynamic problem is adopted in computation. Effects of sizes of the quadrature sub-domain and influence domain on the dynamic properties are investigated. The numerical results show that the presented method can give quite accurate results for the elastic dynamic problem of the moderately thick plate.

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Author

Ping Xia; Shuyao Long; Hongxue Cui

Publisher

Elsevier Science; Springer-Verlag; Huazhong University of Science and Technology; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 0894-9166)

Published

2009

Language

EN

Field

Engineering (Physical Sciences)