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Theoretical and numerical studies of low-frequency reverberant sound field in coupled rooms

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Języki publikacji
EN
Abstrakty
EN
The paper examines the low-frequency reverberation sound field in coupled-room systems. In theoretical model, the modal expansion of sound pressure was applied, while in numerical procedure, the discrete Hilbert transform was used to determine the amplitude of decaying sound. Computer simulations were performed for a room system consisting of two connected rectangular rooms. Eigenfunctions and eigenfrequencies of this system were determined by the finite element method. Simulation results showed that for the hard-walled room system the sound decay is almost exponential for frequencies of modes localized in one of the subrooms. Acoustical treatment of the ceiling significantly reduced reverberation. However, due to beating effects and modal overlap, a large irregularity of sound decay curves has occurred. This makes it difficult to correctly qualify the sound decay, because in this case it is practically impossible to characterize the reverberation process with only one or at most two decay times.
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Strony
art. no. 2024314
Opis fizyczny
Bibliogr. 16 poz., 1 rys., wykr.
Twórcy
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5B, 02-106 Warsaw
Bibliografia
  • 1. N. Xiang, Y. Jing, A.C. Bockman; Investigation of acoustically coupled enclosures using a diffusion-equation model; J. Acoust. Soc. Am., 2009, 126(3), 1187-1198; DOI: 10.1121/1.3168507
  • 2. P. Luizard, J.D. Polack, B.F.G. Katz; Sound energy decay in coupled spaces using a parametric analytical solution of a diffusion equation; J. Acoust. Soc. Am., 2014, 135(5), 2765-2776; DOI: 10.1121/1.4870706
  • 3. J.E. Summers, R.R. Torres, Y. Shimizu; Statistical-acoustics models of energy decay in systems of coupled rooms and their relation to geometrical acoustics; J. Acoust. Soc. Am., 2004, 116(2), 958-969; DOI: 10.1121/1.1763974
  • 4. J.E. Summers; Accounting for delay of energy transfer between coupled rooms in statistical-acoustics models of reverberant-energy decay; J. Acoust. Soc. Am., 2012, 132(2), EL129-EL134; DOI: 10.1121/1.4734591
  • 5. L. Nijs, G. Jansens, G. Vermeir, M. van der Voorden; Absorbing surfaces in ray-tracing programs for coupled spaces; Appl. Acoust., 2002, 63(6), 611-626; DOI: 10.1016/S0003-682X(01)00063-9
  • 6. J.E. Summers, R.R. Torres, Y. Shimizu, B.L. Dalenbäck; Adapting a randomized beam-axis-tracing algorithm to modeling of coupled rooms via late-part ray tracing; J. Acoust. Soc. Am., 2005, 118(3), 1491-1502; DOI: 10.1121/1.2000772
  • 7. M. Meissner; K. Wiśniewski; Investigation of damping effects on low-frequency steady-state acoustical behaviour of coupled spaces; R. Soc. Open Sci., 7(8), 2020, 200514; DOI: 10.1098/rsos.200514
  • 8. M. Meissner; Analytical and numerical study of acoustic intensity field in irregularly shaped room; Appl. Acoust., 2013, 74(5), 661-668; DOI: 10.1016/j.apacoust.2012.11.009
  • 9. M. Meissner; Computational studies of steady-state sound field and reverberant sound decay in a system of two coupled rooms; Cent. Eur. J. Phys., 2007, 5(3), 293-312; DOI: 10.2478/s11534-007-0016-7
  • 10. M. Meissner; Computer modelling of coupled spaces: variations of eigenmodes frequency due to a change in coupling area; Arch. Acoust., 2009, 34(2), 157-168
  • 11. M. Meissner; Spectral characteristics and localization of modes in acoustically coupled enclosures; Acta Acustica united with Acustica, 2009, 95(2), 300-305; DOI: 10.3813/AAA.918152
  • 12. P.J. Collins; Differential and Integral Equations; Oxford University Press, 2006
  • 13. L. Kinsler, A. Frey, A. Coppens, J. Sander; Fundamentals of Acoustics, 4th. ed.; John Wiley & Sons, 2000
  • 14. M. Meissner; Accuracy issues of discrete Hilbert transform in identification of instantaneous parameters of vibration signals; Acta Phys. Pol. A, 2012, 121(1A), A164-A167; DOI: 10.12693/APhysPolA.121.A-164
  • 15. H. Kuttruff; Room Acoustics, 5th ed.; Spon Press, 2009
  • 16. T. Thydal, F. Pind, C.H. Jeong, A.P. Engsig-Karup; Experimental validation and uncertainty quantification in wave-based computational room acoustics; Appl. Acoust., 2021, 178, 107939; DOI: 10.1016/j.apacoust.2021.107939
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-feca5e73-7227-486e-90bc-ee293cb1a390
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