Two-field-variable meshless method based on moving kriging interpolation for solving simply supported thin plates under various loads
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Author list: Kaewumpai S., Luadsong A.
Publisher: Elsevier
Publication year: 2015
Journal: Journal of King Saud University. Science (1018-3647)
Volume number: 27
Issue number: 3
Start page: 209
End page: 216
Number of pages: 8
ISSN: 1018-3647
eISSN: 2213-686X
Languages: English-Great Britain (EN-GB)
Abstract
Meshless method choosing Heaviside step function as a test function for solving simply supported thin plates under various loads is presented in this paper. The shape functions using regular and irregular nodal distribution as well as 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 numerical examples are considered to examine the applicability, the easiness, and the accuracy of the proposed method. Comparing to an exact solution, this robust method gives significantly accurate numerical results, implementing by maximum relative error and root mean square relative error. ฉ 2014 The Authors.
Keywords
Biharmonic equation, Meshless method, Moving Kriging interpolation, Thin plate bending problems
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