Transient processes in a gas / plate structure in the case of light gas loading

Abstract

Problems of pulse excitation in an acoustic waveguide with a flexible wall and in an acoustic half-space with a flexible wall are studied. In both cases the flexible wall is described by a thin plate equation. The solutions are written as double Fourier integrals. The integral for the waveguide is computed explicitly, and the integral for the half-space is estimated asymptotically. A special attention is paid to the pulse, which is a harmonic wave of a finite duration associated with the coincidence point of the dispersion diagrams of the acoustic medium and the plate. The method of estimating of the double Fourier integral is applied to the problem of excitation of waves in a system composed of an ice plate, water substrate, and the air.