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Sound radiation from piston in fluid cylinder of finite length

The exact solution of axial symmetric problem of harmonic sound wave radiation in a fluid cylinder of finite length with boundary impedance condition on lateral side is found. Generation of sound waves occurs due action from the baffled planar piston, which have an uniform vibration amplitude distribution and located on the acoustical rigid bottom of cylinder. The finite Fourier-Bessel integral transform is used over radial variable for the solving of problem. The complex amplitudes of acoustical pressure and components of particle displacement vector are obtained in the form of infinite Fourier-Bessel series. Numerical analysis of frequency and space distributions of spectral characteristics of acoustic field are carried out.