Comparison of spheroidal and eigenfunction-expansion trial functions for a membrane in an infinite baffle

Journal of the Acoustical Society of America

Volumn 123, Issue 5, 2008, Pages 2598-2602

  Mellow, Tim ^a   Kärkkäinen, Leo ^b  

^a DSP Software Engineering Group   (United Kingdom)

^b NOKIA RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC DEVICES; ELECTROMAGNETIC WAVES; ELECTROSTATIC FORCE; VELOCITY DISTRIBUTION;

SPHEROIDAL COORDINATES; SURFACE VELOCITY;

EIGENVALUES AND EIGENFUNCTIONS;

ACOUSTIC IMPEDANCE; ARTICLE; ELECTRICITY; FREQUENCY ANALYSIS; PRIORITY JOURNAL; RADIATION; SOUND PRESSURE; WAVEFORM;

ACOUSTICS; ELASTICITY; KINETICS; MATHEMATICS; MEMBRANES, ARTIFICIAL; MODELS, THEORETICAL; SCATTERING, RADIATION; ULTRASONICS; VISCOSITY;

EID: 43549089277     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2896756     Document Type: Article

References (8)

1. T. J. Mellow and L. M. Kärkkäinen, " On the sound field of a circular membrane in free space and an infinite baffle., " J. Acoust. Soc. Am. 120 (5), 2460-2477 (2006).
2. T. J. Mellow and L. M. Kärkkäinen, " On the sound field of a shallow spherical shell in an infinite baffle., " J. Acoust. Soc. Am. 121 (6), 3527-3541 (2007).
3. S. Wolfram, The Mathematica Book, 5th ed. (Wolfram Media, Champaign, IL, 2003).
4. P. M. Morse and K. U. Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968), pp. 320, 365, 389, 390.
5. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed., edited by, A. Jeffrey, (Academic, New York, 2000), pp. 668, Eq. (6.561.5), pp. 930, Eq. (8.532.1), p. 980, Eqs. (8.930.1)-(8.930.7).
6. G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed. (Cambridge University Press, London, 1944), p. 141, Sec. 5.22, Eq. (5).
7. J. H. Streng, " Calculation of the surface pressure on a vibrating circular stretched membrane in free space., " J. Acoust. Soc. Am. 82 (2), 679-686 (1987).
8. T. J. Mellow, " On the sound field of a resilient disk in an infinite baffle., " J. Acoust. Soc. Am. 120 (1), 90-101 (2006).