Acoustic Impedance of an Annular Piston Wobbling in a Flat Screen Around a Semi-infinite Circular Cylinder
D. Pieczonka a, W.P. Rdzanekb and W.J. Rdzanek b
aStylem, 36-001 Trzebownisko 614, Poland
bDepartment of Acoustics, Institute of Physics, University of Rzeszów, Rejtana 16A, 35-310 Rzeszów, Poland
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A rigorous solution is presented for the problem of sound radiation by an oscillating and wobbling annular piston embedded concentrically in a perpendicular flat screen surrounding a semi-infinite circular cylindrical baffle. Two forms of the Green's function of the considered region are used. The acoustic impedance is presented in its integral form: useful for numerical calculations which enable studying the effect of the acoustic waves scattering on the cylindrical baffle and the asymmetry of vibration velocity on the piston on the resultant acoustic impedance of the wobbling piston. It is shown that in the case of the vibrating piston under consideration, the reciprocity of acoustic impedance related to two modes of rigid body motion, oscillating and wobbling, does not occur.

DOI: 10.12693/APhysPolA.123.1078
PACS numbers: 43.20.Bi, 43.20.El, 43.20.Fn, 43.20.Rz