Vibration of a Cylindrical Shell in an Acoustic Medium

Abstract

In this paper is considered the response to forced vibration of an infinitely long thin cylindrical shell, surrounded by a fluid extending to infinity and containing the fluid. When the fluid is air, there are resonant frequencies close to (1) the natural frequencies of the shell in a vacuum, and (2) the natural frequencies of the internal column of fluid. Numerical results show the variation of these resonant frequencies with the number of circumferential waves, the ratio of the axial wavelength to the mean radius of the shell and the ratio of the thickness to the mean radius. With water as the fluid, the resonant frequencies show considerable divergence from the natural frequencies of the shell in a vacuum. The application of the results to shells of finite length is discussed.