Radial basis function-based pseudospectral method for static analysis of thin plates
| Autor: | Artur Krowiak |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Applied Mathematics
Isotropy Mathematical analysis General Engineering 02 engineering and technology Static analysis 01 natural sciences Shape parameter 010101 applied mathematics Computational Mathematics 020303 mechanical engineering & transports Gauss pseudospectral method 0203 mechanical engineering Radial basis function Pseudospectral optimal control Boundary value problem Pseudo-spectral method 0101 mathematics Analysis Mathematics |
| Zdroj: | Engineering Analysis with Boundary Elements. 71:50-58 |
| ISSN: | 0955-7997 |
| Popis: | The paper deals with the implementation of radial basis function-based pseudospectral method (RBF-PS), which is a meshless numerical technique, to static analysis of thin, isotropic plates. The analyzed problem possesses multiple boundary conditions, therefore direct application of the RBF-PS is not straightforward. In the paper, some approaches to implement the method in such the case are presented. They are examined by the analysis of square plates as well as irregular shaped ones with various combinations of boundary conditions. A careful attention is paid to the problem of choosing an appropriate value of the shape parameter for radial basis functions and an effective approach is explained. The obtained results show the usefulness and high accuracy of the approaches proposed, confirming the advantages of the use of the radial basis function approximation in pseudospectral mode. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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