Analysis of Simply Supported Elastic Beam Resting on A Variable Pasternak Foundation Subjected to Moving Load With Damping Term

• Author(s): Atiti, S. Ehidiame ; Momoh, S. Omeiza (PhD) ; Gyegwe, M. Jessica (PhD) ; Edogbanya, O. Helen (PhD)
• Paper ID: 1710583
• Page: 660-671
• Published Date: 19-09-2025
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 9 Issue 3 September-2025

Abstract

The dynamic response of a simply supported uniform Bernoulli–Euler beam resting on a variable Pasternak foundation under the action of a concentrated moving load with a damping term, when the inertia effect of the load was considered in its analysis was investigated in this paper. To solve the governing equation, the Dirac delta function was expressed as a Fourier cosine series and the Galerkin method, the Struble’s asymptotic technique and the Laplace transform method were used. Thereafter, the simply support condition was used to obtain the dynamic response of the beam. The deflection profiles of the uniform Bernoulli Euler beam were determined and the associated graphs presented using MATLAB for several values of the parameters. The study showed that, the moving force problem is structurally unsafe to approximate the moving mass problem in the design of the dynamical system. Furthermore, as the values of the damping term, axial force, foundation modulus and shear modulus increases, the deflection profiles of the beam decreases. However, the results showed that the damping term had a far higher effect on the beam’s deflection. This implies that the beam’s safety and functional performance are ensured when the values of each parameter is increased.

Keywords

Bernoulli-Euler Beam, Damping Term, Simply Support Condition, Variable Pasternak Foundation

Citations

IRE Journals:
Atiti, S. Ehidiame , Momoh, S. Omeiza (PhD) , Gyegwe, M. Jessica (PhD) , Edogbanya, O. Helen (PhD) "Analysis of Simply Supported Elastic Beam Resting on A Variable Pasternak Foundation Subjected to Moving Load With Damping Term" Iconic Research And Engineering Journals Volume 9 Issue 3 2025 Page 660-671

IEEE:
Atiti, S. Ehidiame , Momoh, S. Omeiza (PhD) , Gyegwe, M. Jessica (PhD) , Edogbanya, O. Helen (PhD) "Analysis of Simply Supported Elastic Beam Resting on A Variable Pasternak Foundation Subjected to Moving Load With Damping Term" Iconic Research And Engineering Journals, 9(3)