HARMONICALLY VARYING MOVING LOAD ON TIME DEPENDENT UNIFORM BEAM RESTNG ON PASTERNAK FOUNDATION

Year : 2025 | Volume : 03 | Issue : 02 | Page : 36 45
    By

    JIMOH, A.,

  • AJOGE, E. O.,

  • AJIOLA, D. I,

  • ONI, D. I.,

  • ABIOLA KOLAWOLE, O. O.,

  • Adesanmi, O. A.,

  1. , Department of Mathematics and Statistics, Conference University of Science and Technology, Osara,, Kogi State, Nigeria
  2. , Centre for Energy Research and Development, Obafemi Awolowo University, Ile-Ife, Osun State, Nigeria
  3. , Department of Biochemistry, Chemistry, and Physics. College of Science and Mathematics, Georgia Southern University, 1332 Southern Drive Statesboro, GA 30458., USA
  4. , Department of Informatics and Computer Engineering, Vietnam National University Internation School, , Vietnam
  5. , Department of Chemical Engineering, University of Hull, , United Kingdom
  6. , Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria

Abstract

In this paper, we investigated elastic beam whose properties does not varies with spatial coordinate but constant along the span L of the beam. The moving load considered in this work is harmonically varying moving load with non-classical boundary conditions, time dependent boundary conditions in particular. Also, considered in this work is two parameters foundation which are Winkler and Pasternak foundations. Closed form solutions in plotted form are obtained using Mindlin Goodman [1] method, Fourier series transformation, integral transformation and theorem of convolution. Mindlin Goodman method is used to transformed the non-homogeneous boundary conditions to homogeneous boundary conditions, the Fourier series transformation is used to reduce the fourth order non-homogeneous partial differential equation with singular coefficient describing the dynamical system to second order ordinary differential equation. The resulting equation is solved using integral transformation alongside with the theorem of convolution. The results are presented graphically and it was revealed that, as the structural parameters such as Winkler foundation parameter (K), Pasternak foundation parameter (G), damping coefficient (E), axial force (N), and circular frequency (w), increases, the response amplitude of the time dependent uniform elastic beam reduces. Amongst all the structural parameters, shear modulus (G) and axial force (N) gives more noticeable effects compares to other structural parameters. Higher values of G and N are required in  order to reduce the resonance effect in the dynamical system and this could guarantee the safety of lives.

Keywords: Time Dependent Boundary Conditions, Pasternak Foundation, Harmonically Varying Moving Load, Damping Coefficient, Circular frequency of the Moving Load.

[This article belongs to International Journal of Electro-Mechanics and Material Behaviour ]

How to cite this article:
JIMOH, A., AJOGE, E. O., AJIOLA, D. I, ONI, D. I., ABIOLA KOLAWOLE, O. O., Adesanmi, O. A.. HARMONICALLY VARYING MOVING LOAD ON TIME DEPENDENT UNIFORM BEAM RESTNG ON PASTERNAK FOUNDATION. International Journal of Electro-Mechanics and Material Behaviour. 2025; 03(02):36-45.
How to cite this URL:
JIMOH, A., AJOGE, E. O., AJIOLA, D. I, ONI, D. I., ABIOLA KOLAWOLE, O. O., Adesanmi, O. A.. HARMONICALLY VARYING MOVING LOAD ON TIME DEPENDENT UNIFORM BEAM RESTNG ON PASTERNAK FOUNDATION. International Journal of Electro-Mechanics and Material Behaviour. 2025; 03(02):36-45. Available from: https://journals.stmjournals.com/ijemb/article=2025/view=235259


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Regular Issue Subscription Original Research
Volume 03
Issue 02
Received 30/10/2025
Accepted 13/12/2025
Published 19/12/2025
Publication Time 50 Days
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