Jimoh A, Ajoge E. O, Ajiola D. I, Nicholas O.O., Adebiyi A.O., Adepoju I.F. | International Journal of Composite Materials and Matrices | Vol 11, Issue 02 | pp. 6-16 | ISSN: 2582-435X
Abstract
In this paper, damped non-uniform Rayleigh beam resting on Pasternak foundation and subjected to distributed load with variable axial force has been investigated. The solution techniques to the governing equation describing the dynamical system are based on Galerkin’s method, Laplace integral transformation in conjunction with convolution theorem. Galerkin’s method is explored to reduce the fourth order non-homogeneous partial differential equation to a second order ordinary differential equation. The resulting equation is then solved using laplace transformation while the inverse laplace transformed is obtained with the application of convolution theorem. The transverse displacement is 2
calculated for various values of the axial force (No), Shear modulus (Fo), Foundation Stiffness (Ko), Damping Coefficient (Δc), and Rotatory Inertia (Ro). The results are shown graphically, and it reveals that the response amplitude of the beam under distributed load reduces with increase in axial force, shear modulus, foundation modulus, damping coefficient, and rotary inertial. Also, as the length of the beam reduces the response amplitude of the beam decreases and this implies that there is direct relationship between the beam’s response amplitude and the length of the beam.
Finally, axial force and rotatory inertia have more noticeable effects on the beam subjected to the distributed compared with other structural parameters.
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How to cite this article
@article{AJ2025,
author = {Jimoh A and Ajoge E. O and Ajiola D. I and Nicholas O.O. and Adebiyi A.O. and Adepoju I.F.},
title = {Analysis Of Non-Uniform Damped Rayleigh Beam Resting on Pasternak Foundation Subjected to Distributed Load With Variable Axial Force},
journal = {International Journal of Composite Materials and Matrices},
year = {2025},
volume = {11},
number = {02},
pages = {6--16},
issn = {2582-435X},
url = {https://journalspub.com/publication/ijcmm/article=23009}
}