The Wave Equation in Cylindrical Coordinates and Its Applications

作者: Eugen Skudrzyk

DOI: 10.1007/978-3-7091-8255-0_22

关键词:

摘要: Sound propagation in cylindrical ducts or thin layers of fluid, sound radiation cylinders, and a great number other interersting problems can be solved by using coordinates. These solutions depend on the distance r from an axis — called z axis, azimuth φ, coordinate. Boundary conditions are usually specified for surfaces = const, possibly φ const.

参考文章(92)
Geoffrey Dearnaley, Acoustics and Vibrational Physics ,(1966)
Philip McCord Morse, Vibration and sound ,(1948)
Rudolf Weyrich, Die zylinderfunktionen und ihre anwendungen Verlag und Druck von B.G.Teubner. ,(1937)
J. A. Deutsch, D. Deutsch, Attention: Some theoretical considerations. Psychological Review. ,vol. 70, pp. 80- 90 ,(1963) , 10.1037/H0039515
Miguel C. Junger, The Physical Interpretation of the Expression for an Outgoing Wave in Cylindrical Coordinates Journal of the Acoustical Society of America. ,vol. 25, pp. 192- 192 ,(1953) , 10.1121/1.1917628
Donald T. Laird, Hirsh G. Cohen, Directionality Patterns for Acoustic Radiation from a Source on a Rigid Cylinder The Journal of the Acoustical Society of America. ,vol. 23, pp. 631- 631 ,(1951) , 10.1121/1.1917379
Pritchard H. White, Sound Transmission through a Finite, Closed, Cylindrical Shell Journal of the Acoustical Society of America. ,vol. 40, pp. 1124- 1130 ,(1965) , 10.1121/1.1910197
J. L. Palladino, V. H. Neubert, Mobility of a Long Cylindrical Shell The Journal of the Acoustical Society of America. ,vol. 42, pp. 403- 411 ,(1967) , 10.1121/1.1910592