Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.

  • Ahamed Jimoh Kogi State University
  • Emmanuel Omeiza Ajoge Obafemi Awolowo University
Keywords: Pasternak Foundation, Shear Modulus, Uniform Beam, Exponentially Varying Moving Load, Foundation Modulus, Damping Coefficient, Axial Force

Abstract

This paper investigates the dynamic behavior of uniform Rayleigh beam resting on Pasternak foundation and subjected to exponentially varying magnitude moving the load. The solution techniques are based on finite Fourier sine transformed Laplace transformation and convolution theorem. The results show that for a fixed value of axial force, damping coefficient and rotatory inertia, increases in shear modulus and foundation modulus reduces the response amplitude of the dynamical system. It was also found that increases in axial force, rotary inertia, and damping coefficient for fixed values of shear modulus and foundation modulus lead to decreases in the deflection profile of the Rayleigh beam resting on Pasternak foundation. Finally, it was found that the effect of shear modulus is more noticeable that of the foundation modulus.

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Author Biographies

Ahamed Jimoh, Kogi State University

Department of Mathematical Sciences  Kogi State University, Anyigba, Nigeria

Emmanuel Omeiza Ajoge, Obafemi Awolowo University

Centre for Energy Research and Development  Obafemi Awolowo University, Ile-Ife, Nigeria

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Published
2019-07-01
How to Cite
Jimoh, A., & Ajoge, E. O. (2019). Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation. JOURNAL OF ADVANCES IN MATHEMATICS, 16, 8449-8458. https://doi.org/10.24297/jam.v16i0.8219
Section
Articles