doi: 10.7763/IJET.2015.V7.802
Analysis of Beams and Thin Plates Using the Wavelet-Galerkin Method
Rodrigo Bird Burgos
1
,
Marco Antonio Cetale Santos
2
,
Raul Rosas e Silva
3
- 1 the State University of Rio de Janeiro (UERJ)
- 2 Fluminense Federal University (UFF), ISIS
- 3 Pontifical Catholic University of Rio de Janeiro
Abstract
The use of wavelets has become increasinglypopular in the development of numerical schemes for thesolution of partial differential equations (PDEs), especially forproblems with local high gradient. In this work, the GalerkinMethod has been adapted for the direct solution of differentialequations in a meshless formulation using Daubechies waveletsand Deslauriers-Dubuc interpolating functions (Interpolets).This approach takes advantage of wavelet properties likecompact support, orthogonality and exact polynomialrepresentation, which allow the use of a multiresolution analysis.Several examples based on typical differential equations forbeams and thin plates were studied successfully.
Keywords
- Wavelets
- interpolets
- wavelet-galerkinmethod
- beam on elastic foundation
- thin plates
How to Cite
Rodrigo Bird Burgos, Marco Antonio Cetale Santos, and Raul Rosas e Silva, "Analysis of Beams and Thin Plates Using the Wavelet-Galerkin Method," International Journal of Engineering and Technology, vol. 7, no. 4, pp. 261-266, 2015. https://doi.org/ 10.7763/IJET.2015.V7.802
Copyright & License
Copyright © 2015 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).