A hybrid modal analysis for enclosed sound fields

Journal of the Acoustical Society of America

Volumn 128, Issue 5, 2010, Pages 2857-2867

  Xu, Buye ^a   Sommerfeldt, Scott D ^a  

^a Brigham Young University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYSIS THEORY; COMPLEX SOUNDS; ENCLOSED SOUND FIELD; FREE FIELDS; HYBRID MODAL ANALYSIS; MODAL EXPANSION; MODAL FUNCTIONS; POINT SOURCES; RECTANGULAR ENCLOSURES; SOUND FIELDS;

ACOUSTIC FIELD MEASUREMENT; ACOUSTIC FIELDS; ELECTRIC CURRENT CONTROL; ENCLOSURES; EXPANSION; GREEN'S FUNCTION;

MODAL ANALYSIS;

ACOUSTICS; ARCHITECTURE; ARTICLE; CONSTRUCTION WORK AND ARCHITECTURAL PHENOMENA; HUMAN; MUSIC; NOISE; NORMAL DISTRIBUTION; THEORETICAL MODEL;

ACOUSTICS; ARCHITECTURE AS TOPIC; FACILITY DESIGN AND CONSTRUCTION; HUMANS; MODELS, THEORETICAL; MUSIC; NOISE; NORMAL DISTRIBUTION;

EID: 78649556684     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.3493429     Document Type: Article

References (22)

1. P. M. Morse and R. H. Bolt, " Sound waves in rooms.," Rev. Mod. Phys. 0034-6861 16, 69-150 (1944). 10.1103/RevModPhys.16.69
2. E. H. Dowell, G. F. Gorman, and D. A. Smith, " Acoustoelasticity: General theory, acoustic natural modes and forced response to sinusoidal excitation, including comparisons with experiment.," J. Sound Vib. 0022-460X 52, 519-542 (1977). 10.1016/0022-460X(77)90368-6
3. L. P. Franzoni and E. H. Dowell, " On the accuracy of modal-analysis in reverberant acoustical systems with damping.," J. Acoust. Soc. Am. 0001-4966 97, 687-690 (1995). 10.1121/1.412291
4. G. B. Arfken and H. -J. Weber, Mathematical Methods for Physicists, 5th ed. (Harcourt/Academic, San Diego, 2001), pp. 893-897.
5. S. R. Bistafa and J. W. Morrissey, " Numerical solutions of the acoustic eigenvalue equation in the rectangular room with arbitrary (uniform) wall impedances.," J. Sound Vib. 0022-460X 263, 205-218 (2003). 10.1016/S0022-460X(02)01123-9
6. Y. Naka, A. A. Oberai, and B. G. Shinn-Cunningham, " Acoustic eigenvalues of rectangular rooms with arbitrary wall impedances using the interval Newton/generalized bisection method.," J. Acoust. Soc. Am. 0001-4966 118, 3662-3671 (2005). 10.1121/1.2114607
7. D. -Y. Maa, " Sound field in a room and its active noise control.," Appl. Acoust. 0003-682X 41, 113-126 (1994). 10.1016/0003- 682X(94)90064-7
8. D. -Y. Maa, " Formula of sound field in a room, re-examination., " Acta Acust. (Beijing) 27, 385-388 (2002).
9. G. B. Arfken and H. -J. Weber, Mathematical Methods for Physicists, 5th ed. (Harcourt/Academic, San Diego, 2001), Chap.
10. J. Pan, " A second note on the prediction of sound intensity.," J. Acoust. Soc. Am. 0001-4966 97, 691-694 (1995). 10.1121/1.412292
11. M. P. Morse, " The transmission of sound inside pipes.," J. Acoust. Soc. Am. 0001-4966 11, 205-210 (1939). 10.1121/1.1916024
12. A. D. Pierce, Acoustics: An Introduction to Its Physical Principles and Applications, McGraw-Hill Series in Mechanical Engineering (McGraw-Hill, New York, 1981), Chap.
13. L. E. Kinsler, Fundamentals of Acoustics, 4th ed. (Wiley, New York, 2000), Chap.
14. J. Pan, " A note on the prediction of sound intensity.," J. Acoust. Soc. Am. 0001-4966 93, 1641-1644 (1993). 10.1121/1.406824
15. L. L. Beranek, Acoustics (McGraw-Hill, New York, 1954), Chap.
16. W. C. Sabine, Collected Papers on Acoustics (Dover, New York, 1964), Chap.
17. C. F. Eyring, " Reverberation Time in Dead' Rooms.," J. Acoust. Soc. Am. 0001-4966 1, 168 (1930). 10.1121/1.1901884
18. W. B. Joyce, " Exact effect of surface roughness on the reverberation time of a uniformly absorbing spherical enclosure.," J. Acoust. Soc. Am. 0001-4966 64, 1429-1436 (1978). 10.1121/1.382120
19. W. B. Joyce, " Power series for the reverberation time.," J. Acoust. Soc. Am. 0001-4966 67, 564-571 (1980). 10.1121/1.383922
20. M. Hodgson, " Experimental evaluation of the accuracy of the Sabine and Eyring theories in the case of non-low surface absorption.," J. Acoust. Soc. Am. 0001-4966 94, 835-840 (1993). 10.1121/1.408262
21. L. L. Beranek, " Analysis of Sabine and Eyring equations and their application to concert hall audience and chair absorption.," J. Acoust. Soc. Am. 0001-4966 120, 1399-1410 (2006). 10.1121/1.2221392
22. Y. Jing and N. Xiang, " On boundary conditions for the diffusion equation in room acoustic prediction: Theory, simulations, and experiments.," J. Acoust. Soc. Am. 0001-4966 123, 145-153 (2008). 10.1121/1.2805618