Comparative Study of Clamped-Clamped and Clamped-Free Elastic Beams Resting on Bi-Parametric Subgrades and Subjected to Concentrated Moving Loads

Year : 2025 | Volume : 16 | Issue : 01 | Page : 17-33
    By

    Jimoh A,

  • Ajoge E.O,

  • Ezeofor C.D,

  1. Research Scholar, Department of Mathematics and Statistics, Confluence University of Science and Technology (CUSTECH), Osara, Kogi, Nigeria
  2. Research Scholar, Center for Energy Research and Development, Obafemi Awolowo University, Osun, Nigeria
  3. Research Scholar, Department of Building, University of Lagos, Lagos, Nigeria

Abstract

In this paper, a comparative study of clamped-clamped and clamped-free elastic beams resting on bi-parametric subgrades subjected to concentrated moving load has been investigated. This work takes into account the viscous effects of the moving load. The findings are shown graphically. The methods of solution incorporate integral transformation in combination with convolution theory, a version of Struble’s asymptotic approaches, and Fourier integral translate with the series representation of the Dirac-delta symbol. Special cases of moving force and moving mass problems traversed by concentrated moving load and the influence of axial force, shear modulus, and foundation modulus are taken into consideration. For both clamped-clamped and clamped-free elastic beams, it was found that when the beam is subjected to concentrated moving load, the response amplitude of the beam decreases as the sums of the axial force N, shear modulus G, and foundation modulus K increase. However, for all cases taken into consideration, the deflection profiles of the clamped-clamped beam are higher compared with that of the clamped-free beam for a range of values of axial force, shear modulus, and foundation modulus. Nevertheless, greater shear modulus G values will be required for a more pronounced impact than foundation modulus K values. Because the critical velocity for the system traversed by mobile component is likewise determined to be less than that under the consequences of replacing mass, resonance is obtained now in the moving mass problem as opposed to the moving force problem. As a result, the moving force problem cannot be used as a safe approximation to the moving mass problem.

Keywords: Bi-parametric subgrades, concentrated loads, resonance, moving force, moving mass, clamped-clamped elastic beam, clamped-free elastic beam

[This article belongs to Journal of Experimental & Applied Mechanics ]

How to cite this article:
Jimoh A, Ajoge E.O, Ezeofor C.D. Comparative Study of Clamped-Clamped and Clamped-Free Elastic Beams Resting on Bi-Parametric Subgrades and Subjected to Concentrated Moving Loads. Journal of Experimental & Applied Mechanics. 2025; 16(01):17-33.
How to cite this URL:
Jimoh A, Ajoge E.O, Ezeofor C.D. Comparative Study of Clamped-Clamped and Clamped-Free Elastic Beams Resting on Bi-Parametric Subgrades and Subjected to Concentrated Moving Loads. Journal of Experimental & Applied Mechanics. 2025; 16(01):17-33. Available from: https://journals.stmjournals.com/joeam/article=2025/view=204469


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Regular Issue Subscription Original Research
Volume 16
Issue 01
Received 31/12/2024
Accepted 14/01/2025
Published 05/03/2025
Publication Time 64 Days
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