Forced Vibration of FGM Timoshenko Beam with Piezoelectric Layers Carrying Moving Load

In this paper forced vibration of FGM Timoshenko beam with piezoelectric layers are analyzed based on the first shear deformation beam theory. The governing equations of motion are derived using Hamilton’s principle. Dynamic behaviors of beam are investigated by navier solution and the results obtained from this solution are compared with the existing theoretical results and showed relatively good agreements. Furthermore the effects of increasing the velocity of moving load in maximum deflection center of beam is studied and the critical velocity in different distribution models of FGM are investigated.