Acta Mechanica Solida Sinica

, Volume 22, Issue 2, pp 116–124 | Cite as

Elastic dynamic analysis of moderately thick plate using meshless LRPIM

Article

Abstract

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.

Key words

meshless method moderately thick plate local radial point interpolation method dynamic analysis Newmark method 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2009

Authors and Affiliations

  1. 1.State Key Laboratory of Advanced Design and Manufacture for Vehicle BodyHunan UniversityChangshaChina
  2. 2.College of Mechanics and Aerospace EngineeringHunan UniversityChangshaChina
  3. 3.Department of Mechanical EngineeringHunan Institute of EngineeringXiangtanChina

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