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Room acoustics





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(Redirected from Acoustic space)
 


Room acoustics is a subfield of acoustics dealing with the behaviour of sound in enclosed or partially-enclosed spaces. The architectural details of a room influences the behaviour of sound waves within it, with the effects varying by frequency. Acoustic reflection, diffraction, and diffusion can combine to create audible phenomena such as room modes and standing waves at specific frequencies and locations, echos, and unique reverberation patterns.

Frequency zones

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The way that sound behaves in a room can be broken up into four different frequency zones:

Natural modes

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The pressure of axial modes (top row) and tangential modes (bottom row) plotted for modal numbers (m = 0, 1) and (n = 1, 2, 3)

For frequencies under the Schroeder frequency, certain wavelengths of sound will build up as resonances within the boundaries of the room, and the resonating frequencies can be determined using the room's dimensions. Similar to the calculation of standing waves inside a pipe with two closed ends, the modal frequencies   and the sound pressure of those modes at a particular position   of a rectilinear room can be defined as

 
 

where   are mode numbers corresponding to the x-,y-, and z-axis of the room,   is the speed of sound in  ,   are the dimensions of the room in meters.   is the amplitude of the sound wave, and   are coordinates of a point contained inside the room.[4]

Modes can occur in all three dimensions of a room. Axial modes are one-dimensional, and build up between one set of parallel walls. Tangential modes are two-dimensional, and involve four walls bounding the space perpendicular to each other. Finally, oblique modes concern all walls within the simplified rectilinear room.[5]

A modal density analysis method using concepts from psychoacoustics, the "Bonello criterion", analyzes the first 48 room modes and plots the number of modes in each one-third of an octave.[6] The curve increases monotonically (each one-third of an octave must have more modes than the preceding one).[7] Other systems to determine correct room ratios have more recently been developed.[8]

Reverberation of the room

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After determining the best dimensions of the room, using the modal density criteria, the next step is to find the correct reverberation time. The most appropriate reverberation time depends on the use of the room. RT60 is a measure of reverberation time.[9] Times about 1.5 to 2 seconds are needed for opera theaters and concert halls. For broadcasting and recording studios and conference rooms, values under one second are frequently used. The recommended reverberation time is always a function of the volume of the room. Several authors give their recommendations [10] A good approximation for broadcasting studios and conference rooms is:

TR[1 kHz] = [0.4 log (V+62)] – 0.38 seconds,

with V=volume of the room in m3.[11] Ideally, the RT60 should have about the same value at all frequencies from 30 to 12,000 Hz.

To get the desired RT60, several acoustics materials can be used as described in several books.[12][13] A valuable simplification of the task was proposed by Oscar Bonello in 1979.[14] It consists of using standard acoustic panels of 1 m2 hung from the walls of the room (only if the panels are parallel). These panels use a combination of three Helmholtz resonators and a wooden resonant panel. This system gives a large acoustic absorption at low frequencies (under 500 Hz) and reduces at high frequencies to compensate for the typical absorption by people, lateral surfaces, ceilings, etc.

 
Sound treatment variations. Grey: absorption. Black: reflection. Blue: diffusion.

Acoustic space is an acoustic environment in which sound can be heard by an observer. The term acoustic space was first mentioned by Marshall McLuhan, a professor and a philosopher.[15]

Nature of acoustics

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In reality, there are some properties of acoustics that affect the acoustic space. These properties can either improve the quality of the sound or interfere with the sound.

Uses of acoustic space

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The application of acoustic space is very useful in architecture. Some kinds of architecture need a proficient design to bring out the best performances. For example, concert halls, auditoriums, theaters, or even cathedrals.[18]

 
Interior view of Mabel Tainter Theater
 
Interior view of the choir at Worcester Cathedral, Worcestershire, UK

See also

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Notes

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  1. ^ The frequency is approximately   Hz when room volume, V, is measured in cubic metres, and reverberation time, RT60, is measured in seconds; this formula incorporates the approximate speed of sound in air.[1][2]

References

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  1. ^ Schroeder, Manfred (1996). "The 'Schroeder Frequency' Revisited". Journal of the Acoustical Society of America. 99 (5): 3240–3241. Bibcode:1996ASAJ...99.3240S. doi:10.1121/1.414868.
  • ^ Davis, Don; Patronis, Eugene; Brown, Pat (2013). Sound System Engineering (4 ed.). p. 215.
  • ^ Crocker, Malcolm J. (2007). Handbook of Noise and Vibration Control. p. 54.
  • ^ Fidecki, Tadeusz. "Room Acoustics and Sound Reinforcement Systems". pp. Section 1.1.
  • ^ Larsen, Holger (1978). Reverberation Process at Low Frequencies (PDF). Bruël and Kjaer Technical Review No. 4. Bruël and Kjaer.
  • ^ Bonello, Oscar J. (1981). "A New Criterion for the Distribution of Normal Room Modes". Journal of the Audio Engineering Society. 29 (9): 597–606.
  • ^ Ballou, Glen. Handbook for Sound Engineers. Howards Sams. p. 56.
  • ^ Cox, T. J.; D'Antonio, P.; Avis, M. R. (2004). "Room Sizing and Optimization at Low Frequencies". Journal of the Audio Engineering Society. 52 (6): 640–651.
  • ^ "RT60 Reverberation Time". Retrieved 2024-03-27.
  • ^ Beranek, Leo (1954). "Chapter 13". Acoustics. McGraw Hill Books.
  • ^ Bonello, Oscar. Clases de Acústica. Edited CEI, Facultad de Ingeniería UBA.
  • ^ Rettinger, Michael (1977). Acoustic Design and Noise Control. New York: Chemical Publishing.
  • ^ Knudsen, Vern Oliver; Harris, Cyril M. (1965). Acoustical Designing in Architecture. New York: John Wiley and Sons.
  • ^ Bonello, Oscar (1979). A new computer aided method for the complete acoustical design of broadcasting and recording studios. International Conference on Acoustics, Speech and Signal Processing, ICASSP '79. Washington: IEEE.
  • ^ Schafer, R. M. (2007). "Acoustic Space". Circuit. 17 (3): 83–86. doi:10.7202/017594ar.
  • ^ a b c Knudsen, V.; Harris, C. (1950). Acoustic Designing in Architecture. The American Institute of Physics. pp. 1–18, 112–150.
  • ^ Smitthakorn, P.; Siebein, G. (2012). Diffuse Reflection: Architectural Acoustics Effects of Specular & Diffuse Reflections on Perceived Music Quality. Saarbruecken, Germany: Lap Lambert Academic Publishing. pp. 11–19.
  • ^ Cavanaugh, W.; Tocci, G.; Wilkes, J. (2010). Architectural Acoustics Principles and Practice. In Marshall, L. (ed.) Acoustical Design: Places for Listening. New Jersey: John Wiley & Sons. pp. 133–157.
  • ^ a b Long, M. (2006). Architectural Acoustics. In Levy, M. & Stern, R. (ed.) General Consideration: Design of Rooms For Music. The United States of America: Elsevier Inc. pp. 653–656.
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    Last edited on 30 April 2024, at 00:07  





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    This page was last edited on 30 April 2024, at 00:07 (UTC).

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