A meshless method based on radial point interpolation with two field variables for solving thin plate problems
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Author list: Kaewumpai S., Luadsong A.
Publisher: Pushpa
Publication year: 2014
Journal: Far East Journal of Mathematical Sciences (0972-0871)
Volume number: 85
Issue number: 1
Start page: 67
End page: 85
Number of pages: 19
ISSN: 0972-0871
Languages: English-Great Britain (EN-GB)
Abstract
The present work aims to conduct a further development of meshless method for solving thin plate problems under various loads. The deflection of plates is approximated by the radial point interpolation method which holds the Kronecker's delta property, thereby enhancing the nodal shape construction accuracy. Two field variables local weak form using the Heaviside step function is adapted to discrete a couple of governing equations as well as impose straightforward the simply supported boundary condition, and no special treatment techniques are required. Selected numericalexamples using nodal arrangement options as well as polynomial basis choices are considered to demonstrate the applicability, the easiness, and the accuracy of the proposed method. This robust method gives quite accurate numerical results, implementing by maximum relative error and root mean square relative error. ฉ 2014 Pushpa Publishing House, Allahabad, India.
Keywords
Biharmonic equation, RPIM, Thin plate bending problems
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