International Journal of Civil Engineering Research

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Dynamics of Timoshenko Beam on Nonlinear Soil


Affiliations
1 Department of English, Faculty of Engineering, Cairo University
2 Department of Mathematics, Faculty of Engineering, Cairo University
3 Department of Physics, Faculty of Engineering, Cairo University
     

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The main objective of this publication is to derive the characteristic differential equations for two-dimensional (2D) Timoshenko beam with simply supported ends subjected to distributed dynamic load and resting on one parameter nonlinear soil. A numerical solution using Adomian decomposition method is carried out to obtain the deflection shape of the beam. A Parametric analyses of are carried out and influences of all varying parameters on the beam responses are investigated. The model includes the simultaneous effects (or couplings) of bending and shear deformations, translational and rotational inertias of all masses considered.

Keywords

Nonlinear Soil, Timoshenko, Adomian Decomposition Method
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  • Dynamics of Timoshenko Beam on Nonlinear Soil

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Authors

M. Taha
Department of English, Faculty of Engineering, Cairo University
A. Omar
Department of Mathematics, Faculty of Engineering, Cairo University
M. Nassar
Department of Physics, Faculty of Engineering, Cairo University

Abstract


The main objective of this publication is to derive the characteristic differential equations for two-dimensional (2D) Timoshenko beam with simply supported ends subjected to distributed dynamic load and resting on one parameter nonlinear soil. A numerical solution using Adomian decomposition method is carried out to obtain the deflection shape of the beam. A Parametric analyses of are carried out and influences of all varying parameters on the beam responses are investigated. The model includes the simultaneous effects (or couplings) of bending and shear deformations, translational and rotational inertias of all masses considered.

Keywords


Nonlinear Soil, Timoshenko, Adomian Decomposition Method

References