Room Acoustic Properties of Coupled Rooms Connected by an Aperture in the Steady State Condition

- Journal title : Transactions of the Korean Society for Noise and Vibration Engineering
- Volume 26, Issue 3, 2016, pp.315-322
- Publisher : The Korean Society for Noise and Vibration Engineering
- DOI : 10.5050/KSNVE.2016.26.3.315

Title & Authors

Room Acoustic Properties of Coupled Rooms Connected by an Aperture in the Steady State Condition

Na, Hae Joong; Lim, Byoung-Duk;

Na, Hae Joong; Lim, Byoung-Duk;

Abstract

Room acoustic properties of coupled rooms connected by an aperture has been analyzed using statistical acoustic model based on the diffused sound field assumption, which has limitation in dealing with the parameters such an room geometries and non uniform absorptivity of the boundary surfaces. In order to overcome these difficulties the acoustic diffusion model has been introduced, by which distribution of the acoustic energy density can be analyzed for various shapes and wall absorptivity. In this study acoustic properties of coupled rooms connected by an aperture(e.g. door) is analyzed using acoustic diffusion equation, which is solved numerically. The mean energy densities of two rooms obtained by the diffusion model are compared with those from the statistical model. The results show good agreement for various coupling aperture sizes and absorption coefficients. For a limiting case when the partition wall is substituted by an aperture and the two rooms eventually forms a single room, results of coupled room analysis using diffusion model show good agreement with those of a single room.

Keywords

Coupled Rooms;Partition Wall;Aperture;Statistical Acoustics Model;Acoustic Diffusion Model;Coupling Factor;Sound Energy Density;Sound Pressure Level Distribution;

Language

Korean

References

1.

Davis, A. H., 1925, Reverberation Equations for Two Adjacent Rooms Connected by an Incompletely Sound-proof Partition, Philos. Mag., Vol. 50, No. 297, pp. 75~80.

2.

Eyring, C. F., 1931, Reverberation Time Measurements in Coupled Rooms, Acoust. Soc. Am., Vol. 3, No. 2, pp. 181~206.

3.

Lyle, C. D., 1981, Recommendation for Estimating Reverberation Time in Coupled Spaces, Acoust. Lett., Vol. 5, pp. 35~38.

4.

Kuttruff, K., 2000, Room Acoustics, 4th ed., Elsevier Science Ltd. London and New York.

5.

Summers, J. E., 2005, Technical Note: Remark on The Formal Identity of Two Statistical-acoustics Models of Coupled Rooms, Build. Acoust., Vol. 12, No. 1, pp. 41-50.

6.

Summers, J. E., Torres, R. R. and Shimizu, Y., 2004, Statistical-acoustics Models of Energy Decay in System of Coupled Rooms and Their Relation to Geometrical Acoustics, J. Acoust. Soc. Am., Vol. 116, No. 2, pp. 958~969.

7.

Valeau, V., Picaut, J. and Hodgson, M., 2006, On the Use of a Diffusion Equation for Room-acoustic Prediction, J. Acoust. Soc. Am., Vol. 119, No. 3, pp. 1504~1513.

8.

Billon, A., Foy, C., Valeau, V., Picaut, J. and Sakout, A., 2008, Modeling the Sound Transmission Between Rooms Coupled through Partition Walls by Using a Diffusion Model, J. Acoust. Soc. Am., Vol. 123, No. 6, pp. 4261~4271.

9.

Jing, Y. and Xiang, N., 2007, A Modifed Diffusing Equation for Room-acoustic Predication, J. Acoust. Soc. Am., Vol. 121, No. 6, pp. 3284~3287.

10.

Jing, Y. and Xiang, N., 2008, On Boundary Conditions for the Diffusion Equation in Room-acoustic Prediction : Theory, Simulations, and Experiments, J. Acoust. Soc. Am., Vol. 123, No. 1, pp. 145~153.

11.

Summers, J. E., 2012, Accounting for Delay of Energy Transfer between Coupled Rooms in Statistical-acoustics Models of Reverberant-energy Decay, J. Acoust. Soc. Am., Vol. 132, No. 2, pp. 129~134.

12.

Smith, P. W., 1979, Statistical Models of Coupled Dynamical Systems and the Transition from Weak to Strong Coupling, J. Acoust. Soc. Am., Vol. 65, No. 3, pp. 695~698.

13.

Billon, A., Valeau, V. and Sakout, A., 2006, On the Use of a Diffusion Model for Acoustically Coupled Rooms, J. Acoust. Soc. Am., Vol. 120, No. 4, pp. 2043~2054.

14.

Valeau, V., Picaut, J., Sakout, A. and Billon, A., 2004, Simulation of the Acoustics of Coupled Rooms by Numerical Resolution of a Diffusion Equation, 18th ICA.

15.

Fortin, N., Picaut, J., Billon, A., Valeau, V. and Sakout, A., 2009, Sound Field Modeling in Architectural Acoustics Using a Diffusion Equation Based Model, Proceedings of the COMSOL Conference, http://hdl.handle.net/2268/32707

16.

Picaut, J., Billon, A., Valeau, V. and Sakout, A., 2006, Sound Field Modeling in Architectural Acoustics Using a Diffusion Equation, INTER-NOISE Conference.