Influence of Initial Tension on Out-Plane Vibrations of a Rotating Circular Plate

Abstract

A refined solution procedure is presented for analyzing out-plane free vibrations of a rotating circular plate. The equations of motion and boundary conditions are derived by considering the effect of initial tensions due to the rotation. The equations of motion are solved exactly by power series expansions. Based on the numerical calculations, some interesting results, such as in-plane stress distributions in steady rotation, frequencies and mode shapes of the circular plate in out-plane vibration, are presented. The results of the present and classical theory are compared, which verify the advantages of the proposed theory.