Dynamic Response of Functionally Graded Fractionally Damped Simply Supported Beam Subjected to Moving Mass

Abstract

In this paper the dynamic response of an Euler-Bernoulli beam subjected to moving mass is investigated. The beam is considered to be simply supported and the material properties vary continuously along the beam thickness according to the power law. The beam damping is described using fractional order derivative, and the governing equation of motion is solved using the decomposition method. In this study, the effect of the damping ratio and the order of the fractional derivative are investigated. The numerical results clarify the great influence of these parameters on the dynamic deflection of the beam.