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Abstrakty
Acoustically coupled spaces have recently been drawing more and more attention in the architectural acoustics community, thus a determination of shapes and frequencies of eigenmodes in these room systems from computer-based models has become increasingly significant. In this investigation, an eigenvalue problem was solved numerically for a simple room system consisting of two connected rectangular spaces. In a numerical procedure, the forced oscillator method with a finite difference algorithm was applied. In order to determine the influence of irregularity of system shape on eigenmodes frequency, a modal behaviour in the coupled spaces was studied for several sizes of coupling area. Calculation results have shown that with the exception of a fundamental mode, the changes in resonant frequencies were relatively small. However, an increase in a system irregularity led to a coincidence of frequencies of neighbouring modes and variations in a sequence of modes on a frequency axis, which both contributed to a degeneration of eigenmodes.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
157--168
Opis fizyczny
Bibliogr 20 poz., rys., tab.
Twórcy
autor
- Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warszawa, Poland, mmeissn@ippt.gov.pl
Bibliografia
- [1] Kuttruff H., Room acoustics, Applied Science Publishers Ltd, London, 1973.
- [2] Morse P.M., Bolt R.H., Sound waves in rooms, Rev. Mod. Phys., 16, 4, 69–150 (1994).
- [3] Dowell E.H., Gorman G.F., Smith D.A., Acoustoelasticity: general theory, acoustic natural modes and forced response to sinusoidal excitation, including comparison to experiment, J. Sound Vib., 52, 4, 519–542 (1977).
- [4] Dowell E.H., Reverberation time, absorption, and impedance, J. Acoust. Soc. Amer., 64, 1, 181–191 (1978).
- [5] Harris C.M., Feshbach H., On the acoustics of coupled rooms, J. Acoust. Soc. Amer., 22, 5, 572–578 (1950).
- [6] Thompson C., On the acoustics of a coupled space, J. Acoust. Soc. Amer., 75, 3, 707–714 (1984).
- [7] Anderson J.S., Bratos–Anderson M., Donay P., The acoustics of a large space with a repetitive pattern of coupled rooms, J. Sound Vib., 208, 2, 313–329 (1997).
- [8] Anderson J.S., Bratos–Anderson M., Acoustic coupling effects in St Paul’s Cathedral, London, J. Sound Vib., 236, 2, 209–225 (2000).
- [9] Xiang N., Goggans P.M., Evaluation of decay times in coupled spaces: Bayesian decay model selection, J. Acoust. Soc. Amer., 113, 5, 2685–2697 (2003).
- [10] Magrini A., Magnani L., Models of the influence of coupled spaces in Christian churches, Build. Acoust., 12, 2, 115–142 (2005).
- [11] Ermann M., Johnson M., Exposure and materiality of the secondary room and its impact on the impulse response of coupled-volume concert halls, J. Sound Vib., 284, 3–5, 915–931 (2005).
- [12] Bradley D.T, Wang L.M., The effects of simple coupled volume geometry on the objective and subjective results from nonexponential decay, J. Acoust. Soc. Amer., 118, 3, 1480–1490 (2005).
- [13] Xiang N., Jasa T., Evaluation of decay times in coupled spaces: an efficient search algorithm within the Bayesian framework, J. Acoust. Soc. Amer., 120, 6, 3744–3749 (2006).
- [14] Kang S.W., Lee J.M., Eigenmode analysis of arbitrarily shaped two-dimensional cavities by the method of point-matching, J. Acoust. Soc. Amer., 107, 3, 1153–1160 (2000).
- [15] Meissner M., Influence of wall absorption on low-frequency dependence of reverberation time in room of irregular shape, Appl. Acoust., 69, 7, 583–590 (2008).
- [16] Sapoval B., Haeberlé O., Russ S., Acoustical properties of irregular and fractal cavities, J. Acoust. Soc. Amer., 102, 4, 2014–2019 (1997).
- [17] Félix S., Asch M., Filoche M., Sapoval B., Localization and increased damping in irregular acoustic cavities, J. Sound Vib., 299, 4–5, 965–976 (2007).
- [18] Meissner M., Analysis of non-exponential sound decay in an enclosure composed of two connected rectangular subrooms, Arch. Acoust., 32, 4S, 213–220 (2007).
- [19] Meissner M., Computational studies of steady-state sound field and reverberant sound decay in a system of two coupled rooms, Cent. Eur. J. Phys., 5, 3, 293–312 (2007).
- [20] Nakayama T., Yakubo K., The forced oscillator method: eigenvalue analysis and computing linear response functions, Phys. Rep., 349, 3, 239–299 (2001).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT8-0014-0039
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