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Tytuł artykułu

A Revised Sound Energy Theory Based on a New Formula for the Reverberation Radius in Rooms with Non-Diffuse Sound Field

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper discusses the concept of the reverberation radius, also known as critical distance, in rooms with non-uniformly distributed sound absorption. The reverberation radius is the distance from a sound source at which the direct sound level equals the reflected sound level. The currently used formulas to calculate the reverberation radius have been derived by the classic theories of Sabine or Eyring. However, these theories are only valid in perfectly diffused sound fields; thus, only when the energy density is constant throughout a room. Nevertheless, the generally used formulas for the reverberation radius have been used in any circumstance. Starting from theories for determining the reverberation time in non-diffuse sound fields, this paper firstly proposes a new formula to calculate the reverberation radius in rooms with non-uniformly distributed sound absorption. Then, a comparison between the classic formulas and the new one is performed in some rectangular rooms with non-uniformly distributed sound absorption. Finally, this paper introduces a new interpretation of the reverberation radius in non-diffuse sound fields. According to this interpretation, the time corresponding to the sound to travel a reverberation radius should be assumed as the lower limit of integration of the diffuse sound energy.
Rocznik
Strony
33--40
Opis fizyczny
Bibliogr. 28 poz., rys., tab., wykr.
Twórcy
  • ArauAcustica, Barcelona, Spain
autor
  • Department of Architectural Science, Ryerson University Toronto, Canada
Bibliografia
  • 1. Arau-Puchades H. (1988), An improved reverberation formula, Acustica, 65, 163–180.
  • 2. Arau-Puchades H. (2012), Sound Pressure Level in Rooms: Study of steady state intensity, total sound level, reverberation distance, a new discussion of steady state intensity and other experimental formulae, Building Acoustics, 19, 3, 205–220.
  • 3. Arau-Puchades H., Berardi U. (2013), The reverberation radius in an enclosure with asymmetrical absorption distribution, Proceedings of Meetings on Acoustics, 19, 015141.
  • 4. Bagenal H. (1941), Practical Acoustics and Planning Against Noise, Ed. Methuen.
  • 5. Barron M., Lee L.J. (1988), Energy relations in concert auditoriums, J. Acoust. Soc. Am., 84, 618–628.
  • 6. Beranek L.L., Nishihara N. (2014), Mean-free-paths in concert and chamber music halls and the correct method for calibrating dodecahedral sound sources, J. Acoust. Soc. Am., 135, 1, 223–230.
  • 7. Berardi U. (2012), A double synthetic index to evaluate the acoustics of churches, Archives of Acoustics, 37, 4, 521–528.
  • 8. Berardi U. (2014), Simulation of acoustical parameters in rectangular churches, J. Build. Perf. Simul., 7, 1, 1–16.
  • 9. Berardi U., Cirillo E., Martellotta F. (2009), A comparative analysis of energy models in churches, J. Acoust. Soc. Am., 126, 4, 1838–1849.
  • 10. Bistafa S.R., Bradley J.S. (2000), Predicting reverberation times in a simulated classroom, J. Acoust. Soc. Am., 108, 1721–1731.
  • 11. Dalenb¨ack B.I. (2008), CATT-Acoustic v8 user’s manual, CATT, Mariagatan 16A, 41471 Gothenburg, Sweden.
  • 12. Ducourneau J., Planeau V. (2003), The average absorption coefficient for enclosed spaces with non uniformly distributed absorption, Applied Acoustics, 64, 845–862.
  • 13. Eyring C.F. (1930), Reverberation time in dead rooms, J. Acoust. Soc. Am., 1, 217–241.
  • 14. Fitzroy D. (1959), Reverberation formula which seems to be more accurate with non-uniform distribution of absorption, J. Acoust. Soc. Am., 31, 893–897.
  • 15. Gerretsen E. (2006), Estimation Methods for Sound Levels and Reverberation Time in a Room with Irregular Shape or Absorption Distribution, Acta Acustica united with Acustica, 92, 797–806.
  • 16. Hodgson M., York N., Yang W., Bliss M. (2008), Comparison of Predicted, Measured and Auralized Sound Fields with Respect to Speech Intelligibility in Classrooms Using CATT-Acoustic and ODEON, Acta Acustica united with Acustica, 94, 6, 883–890.
  • 17. Jetzt J.J. (1979), Critical distance measurement of rooms from the sound energy spectral response, J. Acoust. Soc. Am.,65, 5, 1204–1211.
  • 18. Kuttruff H. (1991), Room Acoustics, Elsevier Applied Science, London.
  • 19. Larsen E., Iyer N., Lansing C.R., Feng A.S. (2008), On the minimum audible difference in direct-to-reverberant energy ratio, J. Acoust. Soc. Am., 124, 450–461.
  • 20. Mehta M.C., Mulholland K.A. (1976), Effect of non-uniform distribution of absorption on reverberation, Journal of Sound Vibration, 46, 2, 209–224.
  • 21. Mijić M., Masovic D. (2010), Reverberation Radius in Real Rooms, Telfor Journal, 2, 2, 86–91.
  • 22. Millington G. (1932), A modified formula for reverberation, J. Acoust. Soc. Am., 4, 69–82.
  • 23. Pujolle J. (1975), Nouvelle formule pour la dure’de reverberation, Revue d’Acoustique, 19, 107–113.
  • 24. Sabine W.C. (1922), Collected Papers, Dover Pub, New York.
  • 25. Sakuma T. (2012), Approximate theory of reverberation in rectangular rooms with specular and diffuse reflections, J. Acoust. Soc. Am., 132, 4, 2325-2336.
  • 26. ˇSumarac-Pavlović D., Mijić M. (2007), An insight into the influence of geometrical features of rooms on their acoustic response based on free path length distribution, Acta Acustica, 92, 6, 1012–1026.
  • 27. Summers J.E., Torres R.R., Shimizu Y., Dalenb¨ack B.I. (2005), Adapting a randomized beam-axis-tracing algorithm to modeling of coupled rooms via late part ray tracing, J. Acoust. Soc. Am., 118, 3, 1491–1502.
  • 28. Vorl¨ander M. (1995), Revised relation between the sound power and the average sound pressure level in rooms and consequences for acoustic measurements, Acustica, 81, 332–343.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b4ca0143-d125-4be0-96a3-31001aee4bff
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