INFLUENCE OF DAMPING COEFFICIENTS ON THE RESPONSE TO MOVING DISTRIBUTED MASSES OF RAYLEIGH BEAMS RESTING ON BI-PARAMETRIC SUBGRADE
Abstract
This paper is concerned with the dynamic analysis of damping coefficients on the response to moving distributed masses of uniform Rayleigh beams resting on bi-parametric subgrade. In the first instance, The fifth order partial differential equation governing the
dynamical system is subjected to the finite Fourier sine integral transform to reduce it to a couple second order ordinary differential equation. This resulting coupled ordinary differential equation is then simplifified using the Struble’s Asymptotic techniques to form amenable to Integral transformation techniques. The Closed form Solution thereby obtained is analysed and results in plotted curves revealed that an increase in the value of the damping due to transverse displacement and damping due to strain velocity for a fixed value of shear modulus, foundation stiffness, axial force and rotatory inertia factor decreases the response amplitudes of the beam. However, damping due to resistance to transverse displacement has a more noticeable effects in reducing the response amplitudes of the damped beam than the damping due to strain velocity. It is also found that the critical speed of the moving distributed load which brings about a resonance decreases as the values of damping coefficients increases.
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