ON THE TRANSVERSE VIBRATIONS OF ROTATING TIMOSHENKO BEAMS SUBJECTED TO TWO CONCENTRATED MOVING LOADS

Abstract

This study focused on the response of rotating Timoshenko beams subjected to two concentrated moving loads at distance apart. The versatile Galerkin's method has been developed and applied to treat the problem of the dynamic deflections of beam structure and   the resulting simultaneous equations are reduced to simple algebraic equations via Laplace transform.   Numerical analyses in plotted curves are presented. The analyses depict interesting results on the effect of some structural parameters such as foundation moduli and prestressed forces on the dynamic behaviour of rotating Timoshenko beams under the actions of moving loads. The effects of the two loads  and  , and distance  apart of the two loads were also considered. It was observed that the dynamic response amplitudes of beam decreased as the distance  between the loads increases. The resonance condition of the dynamical systems was also established.