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SIMULATION OF THE ACOUSTIC FIELD OF A HORN LOUDSPEAKER BY THE BOUNDARY ELEMENT–RAYLEIGH INTEGRAL METHOD

School of Computing, Engineering and Physical Sciences, University of Central Lancashire, Preston, Lancashire PR1 2HE, United Kingdom

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A. THOMPSON

Martin Audio, Cressex Business Park, High Wycombe, Buckinghamshire HP12 3SL, United Kingdom

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BJØRN KOLBREK

Department of Electronics and Telecommunications, 7491 Norwegian University of Science and Technology, Trondheim, Norway

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, and

J. YAZDANI

School of Computing, Engineering and Physical Sciences, University of Central Lancashire, Preston, Lancashire PR1 2HE, United Kingdom

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https://doi.org/10.1142/S0218396X12500208Cited by:7 (Source: Crossref)

Abstract

The boundary element–Rayleigh integral method (BERIM) is developed for the solution of acoustic problems consisting of a cavity with a single opening. The method is a hybrid of the interior boundary element method (BEM) and the Rayleigh integral method for the solution of the Helmholtz equation. FORTRAN codes for expressing the method for axisymmetric problems and general three-dimensional problems are developed. Both methods are applied to the problem of simulating the acoustic field produced by horn loudspeakers. The results are compared with measured data and the traditional exterior BEM. It is shown that the method can have significant computational advantages over the traditional BEM for problems consisting of an open cavity.

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References

S. M. Kirkup, The boundary element method in acoustics, 1998, integrated sound software (2007), Website containing electronic book and downloadable software, http://www.boundary-element-method.com. (accessed on 24 November 2011), pp. 1–160 . Google Scholar
T. W. Wu (ed.), Boundary Element Acoustics: Fundamentals and Computer Codes (Wessex Institute of Technology Press, 2000) pp. 1–150. Google Scholar
A. Ali and C. Rajakumar, Boundary Element Method: Applications in Sound and Vibration (Taylor & Francis, 2007) pp. 1–198. Google Scholar
A. F. Seybert, C. Y. R. Cheng and T. W. Wu, J. Acoust. Soc. Am. 88(3), 1612 (1990). Crossref, Web of Science, Google Scholar
F. Polonioet al., Acta Acust. United Acust. 90(3), (2004). Google Scholar
E. Geddes, J. Porter and Y. Tang, J. Audio Eng. Soc. 35(4), (1987). Google Scholar
Martin Audio, Website — Historical and Product information (2004), www.martin-audio.com (accessed on 24 November 2011) . Google Scholar
C. J. C. Jones, Finite element analysis of loudspeaker diaphragm vibration and prediction of the resulting sound radiation, PhD thesis, Brighton Polytechnic (1986) . Google Scholar
S. M. Kirkup and M. A. Jones, Appl. Acoust. 48(4), 275 (1996). Crossref, Web of Science, Google Scholar
K. J. Bastyr and D. E. Capone, J. Audio Eng. Soc. 51(4), 234 (2003). Web of Science, Google Scholar
E. F. Grande, Sound radiation from a loudspeaker cabinet using the boundary element method, Master thesis, Technical University of Denmark (2008) . Google Scholar
J. Vanderkooy and D. J. Henwood, Polarplots at low frequencies: The acoustic centre, Audio Engineering Society convention, Paper No. 6784, 120th Convention, Paris, France (2006) . Google Scholar
D. J. Henwood, J. Audio Eng. Soc. 41(6), 485 (1993). Web of Science, Google Scholar
S. M. Kirkup, Appl. Math. Model. 18(7), 403 (1994). Crossref, Web of Science, Google Scholar
S. Kirkup, Fortran codes for computing the acoustic field surrounding a vibrating plate by the Rayleigh integral method, Proc. Conf. Mathematical Methods, Computational Techniques and Intelligent Systems (MAMECTIS '08) pp. 46–52. Google Scholar
S. M. Kirkup, Adv. Comput. Math. 9(4), 391 (1998). Crossref, Web of Science, Google Scholar
V. Salmon , J. Acoust. Soc. Am. 17 , 212 ( 1946 ) . Crossref, Web of Science, Google Scholar
Calcul des pavillons par éléments discrets (Calculation of flats by discrete elements), http://ndaviden.club.fr/pavillon/lecleah.html (accessed on 30 November 2011) (in French) . Google Scholar
B. Kolbrek, Horn theory: An introduction, Part 2, AudioXpress (2008), pp. 20–29 . Google Scholar
T. Salava, J. Audio Eng. Soc. 29(6), 416 (1981). Web of Science, Google Scholar
S. Kirkup and A. Thompson, Computing the acoustic field of a radiating cavity by the boundary element — Rayleigh integral method (BERIM), Proc. World Congress on Engineering, WCE 2007II (2007) pp. 46–52. Google Scholar
GID Pre/Post processor, http://www.gidhome.com/(accessed on 24 November 2011) . Google Scholar