Acoustic resonance of cylindrically symmetric waves

Abstract

Resonant nonlinear oscillations of an ideal gas contained in a cylindrical shell are studied. Excitation is generated by a harmonically oscillating line source positioned on the cylinder axis and symmetric, harmonic displacement of the cylinder wall of the same circular frequency; also there is a constant phase shift between both excitations taken into account. The problem is nonlinear and qualitatively resembles the analogous one in a spherical shell in that there is a similiar response curve in both cases with the response amplitude being of the order of magnitude of the cubic root of the excitation amplitude in either situation, but there are quantitative differences.