Modal Analysis for Global Control of Broadband Noise in a Rectangular Enclosure

Abstract

Modal analysis for examination of the possibility of the global reduction of broadband noise in a rectangular enclosure has been studied in this paper. By developing a modal model of the acoustic environment of the enclosure the shape modes and their frequencies are obtained and on suitable bandwidth for the controller design is calculated. In order to simplify the analysis the noise sources are assumed localized and internal in one corner of the kiosk. The analysis results show that due to the existence of some degenerate modes in this application, the control action is complicated. Simulation results demonstrate how positions and number of loudspeakers and microphones will change the performance of the controller and its corresponding control effort. Based on these results and analysis a reasonable size for the controller and proper locations for sensors and actuators are proposed. Simulation results also confirm the effectiveness of the proposed system in reduction of the acoustic potential energy in the kiosk.

Keywords

Modal analysis Global Reduction Rectangular Enclosure

References

Olson

H.F.

May

E.G.

, Electronic Sound Absorber, Journal of the Acoustical Society of America, 1953, 28, 966–972.

Dorling

C. M.

Eatwell

G. P.

Hutchins

S. M.

Ross

C. F.

Sutcliffe

S. G.

, A demonsteration of active noise reduction in an aircraft cabin, Joumal of Sound and Vibration, 1989, 128,358–360.

Elliot

S.J.

Nelson

P.A.

Stothers

I.M.

Boucher

C. C.

, In-flight experiments on the active control of propeller-induced cabin noise, Journal of Sound and Vibration, 1990, 120, 183–189.

Emborg

, Cabin Noise Control in the Saab 2000 High-Speed Turboprop Aircraft, in: Proc. of ISMA 23, 1998,13–25.

Hinchliffe

Richard

Scott

Ivan

Purver

Mathew

Stothers

Ian

, Tonal active control in production on a large turbo-prop aircraft, in: Proceeding of Active 2002, 2002, ISVR, Southampton, UK.

Oswald

L.J.

, Reduction of diesel noise inside passenger compartments using active, adaptive noise control, in: Proceedings of Internoise 84, 1984, 483–488.

Guicking

Bronzel

Bohm

, Active adaptive noise control in cars, in: Proceedings of Recent Advances in Active Control of Sound and Vibration, Technomic Publishing Co. Inc., 1991, 657–670.

Minguez

Antonio

Recuero

Manuel

Ulin

Vladimir

Gil

Juan Sancho

, Engine Noise Cancellation Inside an Automobile, in: Proceedings of Active 99, 1999, Ft. Lauderdale, Florida, USA, 765–774.

Sano

Yamashita

Nakamura

, Recent application of active noise and vibration control to automobiles, in: Proceedings of Active 2002, 2002, ISVR, Southampton, UK.

10.

Guo

Jingnan

Pan

Jie

Hodgson

Murray

, Local or Global Control- The Applicable Active Noise Control Strategy in Enclosed Environments, in: Proceedings of Active 2002, ISVR, University of Southampton, UK, 2002.

11.

Nelson

P.A.

Curtis

A.R.

Elliott

S.J.

Bullmore

A.J.

, “The active minimization of harmonic enclosed sound fields, part I: Theory”, J. Sound and Vib., 1987, 117 (1), 1–13.

12.

Bao

Sas

Van Brussel

, Adaptive active control of noise in 3-D reverberant enclosures, J. Sound and Vib., 1993, 161(3), 501–514.

13.

Garcia-Bonito

Elliott

S.J.

Bonilha

, Active Cancellation of Pressure at a Point in a Pure Tone Diffracted Diffuse Sound Field, J. Sound and Vib., 1997, 201(1), 43–65.

14.

Joseph

Elliott

S.J.

Nelson

P.A.

, Statistical Aspects of Active Control in Harmonic Enclosed Sound Fields, J. Sound and Vib., 1994, 172(5), 629–655.

15.

Elliott

S. J.

Boucher

C. C.

Nelson

P. A.

, The Behaviour of a Multiple Channel Active Control System, IEEE Transactions on Signal Processing,1992, 40(5), 1041–1052.

16.

Garcia-Bonito

Elliott

S.J.

, Local active control of diffracted diffuse sound fields, J. Acoust. Soc. Am. 1995, 98 (2), 1017–1204.

17.

Hodgson

, When is diffuse-field theory applicable, Applied Acoustics, 1996, 49, 197–207.

18.

Nelson

P.A.

Elliott

S.J.

, Active Control of Sound, Academic Press, London, 1992.

19.

Guo

Jingnan

Hodgson

Murray

, Investigation of Active Noise Control in Non-Diffuse Sound Fields, in: Proceeding∼of Active 99, 1999, Ft. Lauderdale, Florida, USA.

20.

Bullmore

A.J.

Nelson

P.A.

Curtis

A.R.

Elliott

S.J.

, The active minimization of harmonic enclosed sound fields, part II: A computer simulation, J. Sound and Vib., 1987, 117(1), 15–33.

21.

Lau

S.K.

Lang

S.K.

, Sound Fields in a Slightly Damped Rectangular Enclosure Under Active Control, J. Sound and Vib., 2000, 238(4), 637–660.

22.

Morgan

D.R.

, An Adaptive Modal-Based Active Control System, Journal of Acoustic Society of America, 1991, 89, 248–256.

23.

Kuo

Sen M.

Morgan

Denis R.

, Active Noise Control Systems, Algorithms and DSP Implementations, John Wiley and Sons Inc, 1996.