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General Information
Prof. T. Hikmet Karakoc
Anadolu University, Faculty of Aeronautics and Astronautics, Turkey

IJET 2015 Vol.7(4): 261-266 ISSN: 1793-8236
DOI: 10.7763/IJET.2015.V7.802

Analysis of Beams and Thin Plates Using the Wavelet-Galerkin Method

Rodrigo Bird Burgos, Marco Antonio Cetale Santos, and Raul Rosas e Silva
Abstract—The use of wavelets has become increasingly popular in the development of numerical schemes for the solution of partial differential equations (PDEs), especially for problems with local high gradient. In this work, the Galerkin Method has been adapted for the direct solution of differential equations in a meshless formulation using Daubechies wavelets and Deslauriers-Dubuc interpolating functions (Interpolets). This approach takes advantage of wavelet properties like compact support, orthogonality and exact polynomial representation, which allow the use of a multiresolution analysis. Several examples based on typical differential equations for beams and thin plates were studied successfully.

Index Terms—Wavelets, interpolets, wavelet-galerkin method, beam on elastic foundation, thin plates.

R. B. Burgos is with the State University of Rio de Janeiro (UERJ), Department of Structures and Foundations, RJ, Brazil (e-mail: rburgos@ig.com.br).
M. A. Cetale Santos is with Fluminense Federal University (UFF), ISIS Group, Department of Geology and Geophysics, RJ, Brazil (e-mail: marcocetale@id.uff.br).
R. R. Silva is with Pontifical Catholic University of Rio de Janeiro, Department of Civil Engineering, RJ, Brazil (e-mail: raul@puc-rio.br).


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.

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