Directional characteristics of a planar annular plate for axially-symmetric free vibrations
Abstract
There is solved a coastal problem of the acoustic wave radiation at Fraunhofer zone for a planar annular plate vibrating harmonically. It is assumed that a plate is clamped with both its banks, inner and outer, into a planar rigid baffle. There is an analysis of axially-symmetric free vibrations. There are directional-frequency characteristics for both kinds of sources - annular plate and annular membrane.References
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[2] C.D. Deffayet and P.A. Nelson, Active control of low-frequency harmonic sound radiated by a finite panel, J. of the Acoustical Society of America, 84, 6, 2192–2199 (1996).
[3] Z. Engel, Development of active methods in Poland [in Polish], Materials of III-rd School “Active Methods of Vibration and Noise Reduction”, Zakopane 1997, pp. 53–57.
[4] C.R. Fuller, Active control of sound transmition/radiation from elastic plates by vibration inputs, I. Analysis, J. of Sound and Vibration, 136, 1, 1–15 (1990).
[5] E. Janke, F. Emde and F. Losch, Tafeln hoherer funktionen, B.G. Teubner Verlagsgesellschaft, Stuttgard 1960.
[6] H. Levine and F.G. Leppington, A note on the acoustic power output of a circular plate, J. of Sound and Vibration, 121, 2, 269–275 (1988).
[7] I. Malecki, Physical foundations of technical acoustics, Pergamon Press, Oxford 1969.
[8] W.P. Rdzanek Jr. and Z. Engel, The acoustic radiation power of a planar annular plate for the form of vibrations (0, n) [to be published in proceedings of Forum Acusticum ‘99, Berlin 1999, This work is realized within a framework of the KBN project no T07B01812.
[9] W.J. Rdzanek and W.P. Rdzanek, Jr., The real acoustic power of a planar annular membrane radiation for axially-symmetric free vibrations, Archives of Acoustics, 22, 4, 455–462 (1997).
[10] W.J. Rdzanek and W.P. Rdzanek, Jr., The acoustic reactance radiated by a planar annular membrane for axially¯symmetric free vibrations, [to be published in Archives of Acoustics].
[11] S.M. Vogel and D.W. Skinner, Natural frequencies of transversely vibrating uniform annular plates, J. of Applied Mechanics, 32, 926–931 (1965).
