Abstract
The paper analyzes the imaginary component of the mutual impedence of two pulsating cylindrical rings placed on an infinitely long and stiff circular cylinder. The specific case of the radius of the cylinder being considerably shorter than the wave lengths of the acoustic waves radiated is considered. The imaginary component of the mutual impedence was calculated using the HILBERT transformation, based on the approximate expression for the real component of the mutual impedance given by ROBEY. Compared to earlier results the formulae have a simple form, and are thus convenient for numerical Calculations. These calculations are illustrated graphically.References
[1] J. E. GREENSPAN, An approximation to the remainder of Robey's reactive impedance integral, JASA, 33, 1428-1429 (1961).
[2] J. E. GREENSPAN, C. H. SHERMAN, Mutual radiation impedance and nearfield pressure for pistons on a cylinder, JASA, 36, 1, 143-153 (1964).
[3] E. JANKE, F. EMDE, F. LOSCU, Tafeln hiherer Funktionen BG, Teubner Verlagsgesellschaft, Stuttgart 1960.
[4] N. W. McLCHLAN, Bessel functions for engineers (in Polish), PWN, Warszawa 1964.
[2] J. E. GREENSPAN, C. H. SHERMAN, Mutual radiation impedance and nearfield pressure for pistons on a cylinder, JASA, 36, 1, 143-153 (1964).
[3] E. JANKE, F. EMDE, F. LOSCU, Tafeln hiherer Funktionen BG, Teubner Verlagsgesellschaft, Stuttgart 1960.
[4] N. W. McLCHLAN, Bessel functions for engineers (in Polish), PWN, Warszawa 1964.
