Dynamic Response of Non-Uniform Rayleigh Beam Subjected to Harmonically Varying Moving Load

Abstract

This paper investigates the effect of axial force and rotatory inertial on the dynamic motion of non-uniform Rayleigh beam resting on Pasternak foundation transverseby harmonically varying magnitude moving loads. The versatile Galerkin'smethod and the integral transform techniques were employed to treat the fourth order partial differential equation governing the motion of the vibrating system. Analytical solution was obtained for the transverse displacement response of the non-uniform Rayleigh beam. Analytical and numerical results show that as the values of axial force (N) and rotatory inertial () increases the deflection profile of the non-uniform Rayleigh beam decreases. It is also found that as the values of the other structural parameter such as shear module (G), foundation modulus (K) and damping coefficient () increases lead to decreases in the deflection profile of the beam. Finally, it is observed that the effect of rotatory inertia is significant compared to that of the axial force.

Exponentially Varying Load on Rayleigh Beam Resting on Pasternak Foundation.

“…Several researchers in recent time that considered two parameters models in their studies so as to overcome the shortcoming of the one parameter model include Jimoh and Ajoge [13], Jimoh and Ajoge [14], Oni and Jimoh [15], Oni and Jimoh [16], Oni and Jimoh [17], Oni and Ogunbamike [18].…”

“…Using the information (12) on (9) we have On evaluating each term of equation(13) by the method of integration by parts and using the set of initial conditions (…”