RESPONSE OF ANNULAR PLATES TO CIRCUMFERENTIALLY AND RADIALLY MOVING LOADS

The forced dynamic response of annular plates to circumferentially and radially moving concentrated transverse loads is investigated utilizi ng classical plate theory, with damping included, and solved in integr al form. The boundary conditions are that the inner boundary of the pl ate is clamped and the outer boundary is free. An analytical expressio n in Fourier-Bessel series form is obtained for the forced deflection response to an arbitrarily moving concentrated load. This study includ es radially moving loads and is a significant extension of the underst anding of circular and annular plate dynamics. This understanding of r adially moving loads is used to examine the nature of resonance condit ions and corresponding critical values of the load parameters. The sha pes of deflection modes of plate vibration are also presented. Damping and loading parameter sensitivities are studied in detail.