Two-field-variable meshless method based on moving kriging interpolation for solving simply supported thin plates under various loads
| Autor: | S. Kaewumpai, Anirut Luadsong |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Regularized meshless method
Multidisciplinary Heaviside step function Thin plate bending problems Mathematical analysis Meshless method Biharmonic equation symbols.namesake Polynomial basis Moving kriging interpolation Kriging Approximation error symbols Test functions for optimization Boundary value problem lcsh:Science (General) General lcsh:Q1-390 Mathematics |
| Zdroj: | Journal of King Saud University: Science, Vol 27, Iss 3, Pp 209-216 (2015) |
| ISSN: | 1018-3647 |
| DOI: | 10.1016/j.jksus.2014.12.003 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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