International Journal of Mathematics and Computational Science
Articles Information
International Journal of Mathematics and Computational Science, Vol.2, No.1, Feb. 2016, Pub. Date: Jan. 21, 2016
Application of the GDQ Method to Structural Analysis
Pages: 8-19 Views: 2374 Downloads: 2418
Authors
[01] Ramzy M. Abumandour, Basic Engineering Science Department, Faculty of Engineering, Menofia University, Shebin El-Kom, Egypt.
[02] M. H. Kamel, Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Cairo, Egypt.
[03] S. Bichir, Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Cairo, Egypt.
Abstract
This paper presents a generalized differential quadrature method as an accurate, efficient and simple numerical technique for structural analysis of uniform and non-uniform beams resting on fluid layer under axial force and distributed load under three sets of boundary conditions, that is, simply–simply supported (S–S), clamped–clamped supported (C–C) and clamped–simply supported (C–S) and studied the buckling of uniform and non-uniform bar resting on fluid layer under axial force and distributed load under the same three sets of boundary conditions. These problems were studied using the GDQ method. Firstly, drawbacks existing in the method of differential quadrature (DQ) are evaluated and discussed. Numerical examples have shown the super accuracy, efficiency, convenience and the great potential of this method.
Keywords
Uniform and Non-Uniform Beam and Bar, Deflection, Buckling, GDQM
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