One-dimensional hydroelastic oscillations of three-layered plates

Abstract

A method is proposed for calculating one-dimensional (using modes of cylindrical bending) and axially-symmetric degenerate vibrations of three-layered plates which are clamped in an infinitely rigid screen on the boundary of separation of fluid media. The account is presented as it applies to axially-symmetric vibrations, but the changes which have to be introduced in solving the planar problem are indicated in the appropriate places. The dependence of the resonant frequencies and of the amplitudes of the vibrations on the geometrical and physical parameters of the layers, the asymmetry in the structure of the plate and the damping properties of the filler are investigated. The special features of the hydroelastic vibrations of three-layered plates compared with the vibrations of homogeneous plates are noted. The latter have been treated in a number of papers /1, 2/ ∗∗ ∗∗ Golovanov V.A., Muzychenko V.V., Peker F.N. and Popov A.L., Scattering and radiation of sound by elastic shells in a fluid, Preprint 261, Inst. Problem Mekhaniki Akad. Nauk SSSR, Moscow, 1985 and the bibliography given there. .