Meshless Method Based on Moving Kriging Interpolation for Solving Simply Supported Thin Plate Problems

Authors

  • Supanut Kaewumpai Assumption University of Thailand

DOI:

https://doi.org/10.4186/ej.2015.19.3.1

Keywords:

Meshless method, moving Kriging interpolation, thin plate bending problems, biharmonic equation, irregular domain.

Abstract

Meshless method choosing Heaviside function as a test function for solving simply supported thin plates under various loads as well as on regular and irregular domains is presented in this paper. The shape functions using regular and irregular nodal arrangements as well as the order of polynomial basis choice are constructed by moving Kriging interpolation. Alternatively, two-field-variable local weak forms are used in order to decompose the governing equation, biharmonic equation, into a couple of Poisson equations and then impose straightforward boundary conditions. Selected mechanical engineering thin plate problems are considered to examine the applicability and the accuracy of this method. This robust approach gives significantly accurate numerical results, implementing by maximum relative error and root mean square relative error.

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Author Biography

Supanut Kaewumpai

Department of Management, Martin de Tours School of Management and Economics, Assumption University of Thailand, 88 Moo 8, Bangna-Trad Road, Samutprakarn 10540, Thailand

Published

Vol 19 No 3, May 28, 2015

How to Cite

[1]
S. Kaewumpai, “Meshless Method Based on Moving Kriging Interpolation for Solving Simply Supported Thin Plate Problems”, Eng. J., vol. 19, no. 3, pp. 1-14, May 2015.