A new finite element for transverse vibration of rectangular thin plates under a moving mass

In this paper a new finite element which can be used in the analysis of transverse vibrations of the plates under a moving point mass is presented. In this technique, which allows for the inclusion of inertial effects of the moving mass, the load is replaced with an equivalent finite element. By means of using the relations between nodal forces and nodal deflections of 16 DOF conforming plate element with C(1) continuity, on the one hand, and shape functions, on the other hand, mass, stiffness, and damping matrices of the new finite element are determined by the transverse inertia force, Coriolis force and centrifuge force, respectively. This method was first applied on a simply supported beam so as to provide a comparison with the previous studies in the literature, and it was proved that the results were within acceptable limits. Second, it was applied on a cantilevered plate so as to determine the dynamic response of the planer entry plate of a high-speed wood-cutting machine.