SIMPLE-MODELS OF THE ENERGETICS OF TRANSVERSELY VIBRATING PLATES

Approximate energy models for infinite and finite plates are derived u sing three relationships; an energy balance, a loss factor damping mod el and an approximate energy transmission model. The energy transmissi on relationship for the infinite plate relates the far field radial in tensity, the group speed and the local energy density. The resulting e nergy equation for infinite plates is an excellent approximation in th e far field. For finite plates, the far field energy density and inten sity expressions for plane wave approximations are smoothed in order t o derive an energy transmission relationship. The resulting relationsh ip is analogous to Fourier's law of heat conduction. The energy model is a second order equation which models the smoothed far field energy distribution. The equations model the general behavior of finite plate s well and explain the dependence of plate energetics on frequency and damping.