Open AccessExponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.
Author(s) -
A. Jimoh,
E. O. Ajoge
Publication year - 2019
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v16i0.8219
Subject(s) - mathematics , shear modulus , mathematical analysis , modulus , deflection (physics) , rayleigh scattering , beam (structure) , laplace transform , foundation (evidence) , classical mechanics , structural engineering , physics , materials science , geometry , optics , composite material , engineering , archaeology , history
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.