Acoustic and flexural wave energy conservation for athin plate in a fluid

Abstract

Although the equations of flexural wave motion for a thin platein a vacuum and a fluid are well known, it is not easy to find a discussion of energy conservation for plate flexural waves, particularly "leaky" waves where a plate and fluid can exchange energy. Nor are formulae easily found for acoustic and flexural wave kinetic energy density, potential energy density and energy density flux including the effect of leaky waves. This paper derives formulae for acoustic and flexural energy densities and energy density fluxes, and finds the energy conservation equation for the coupled thin plate -fluid system.