Abstract
The measurements normally required to understand the physics of musical instruments, including the human voice, usually fall into one of three categories: measuring the airborne sound, measuring the deflection of the surface of an instrument, or measuring the input impedance. This chapter introduces the most common measurement techniques that provide information on these three physical parameters with an emphasis on the first two, which are the measurements most commonly desired by musical acousticians. The chapter begins with a discussion of airborne sound and how it is sensed. Specifically, several types of microphones are introduced followed by a discussion of some of the techniques that rely on sensing by microphones. A review of the techniques for measuring and visualizing deflection shapes is then presented. These techniques range from observing nodal lines using simple Chladni patterns to visualizing deflection shapes using electronic speckle pattern interferometry. The topic of impedance measurement is addressed next, with discussions of both measurements of the input impedance of wind instruments and the measurement of mechanical impedance. This review is not meant to be a complete analysis of each measurement technique. Instead, it is meant to serve as an introduction to the most commonly used techniques and provide references for the interested reader to pursue further study. The advent of new technologies continually changes the equipment that is available to the scientist, but the underlying physical principles remain relevant.
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Abbreviations
- BIAS:
-
brass instrument analysis system
- CCD:
-
charge-coupled device
- DESPI:
-
decorrelated electronic speckle pattern interferometry
- ESPI:
-
electronic speckle pattern interferometry
- FRF:
-
frequency response function
- LDV:
-
laser Doppler vibrometry
- MEMS:
-
micro-electric mechanical system
- NAH:
-
near-field acoustic holography
References
D.R. Raichel: The Science and Applications of Acoustics (Springer, New York 2000) pp. 168–175
L.E. Kinsler, A.R. Frey, A.B. Coppens, J.V. Sanders: Fundamentals of Acoustics, 4th edn. (Wiley, New York 2000) pp. 416–428
M.W. Hoffman, C. Pinkelman, X.F. Lu, Z. Li: Real-time and off-line comparisons of standard array configurations containing three and four microphones, J. Acoust. Soc. Am. 107, 3560–3563 (2000)
R. Streicher, W. Dooley: Basic stereo microphone perspectives-a review, J. Audio Eng. Soc. 33, 548–556 (1985)
M. Park, B. Rafaely: Sound-field analysis by plane-wave decomposition using spherical microphone array, J. Acoust. Soc. Am. 118, 3094–3103 (2005)
N. Huleihel, B. Rafaely: Spherical array processing for acoustic analysis using room impulse responses and time-domain smoothing, J. Acoust. Soc. Am. 133, 3395–4007 (2013)
E.G. Williams, J.D. Maynard: Holographic imaging without the wavelength resolution limit, Phys. Rev. Lett. 45, 554–557 (1980)
E.G. Williams: Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography (Academic, London 1999)
J.D. Maynard, E.G. Williams, Y. Lee: Nearfield acoustic holography: I. Theory of generalized hologrphy and the development of NAH, J. Acoust. Soc. Am. 78, 1395–1413 (1985)
S. Dumbacher, D. Brown, J. Blough, R. Bono: Practical aspects of making NAH measurements. In: Proc. Noise and Vibration Conference and Exposition, Warrendale (1999)
F. Muddeen, B. Copeland: Sound radiation from caribbean steelpans using nearfiled acoustical holography, J. Acoust. Soc. Am. 131, 1558–1595 (2012)
L.M. Wang, C.B. Burroughs: Acoustic radiation from bowed violins, J. Acoust. Soc. Am. 110, 543–555 (2001)
J. Benesty, J. Chen, Y. Huang (Eds.): Microphone Array Signal Processing (Springer, Berlin, Heidelberg 2008)
M. Brandstein, D. Ward (Eds.): Microphone Arrays: Signal Processing Techniques and Applications (Springer, New York 2001)
M.B.S. Magalhães, R.A. Tenenbaum: Sound sources reconstruction techniques: A review of their evolution and new trends, Acta Acust. united with Acust. 90, 199–220 (2004)
G.H. Koopmann, L. Song, J.B. Fahnline: A method for computing acoustic fields based on the principle of wave superposition, J. Acoust. Soc. Am. 86, 2433–2438 (1989)
R. Bader: Microphone Arrays (Springer, Berlin, Heidelberg 2014)
R. Bader: Radiation characteristics of multiple and single sound hole vihuelas and a classical guitar, J. Acoust. Soc. Am. 131, 819–827 (2012)
R. Bader: Reconstruction of radiating sound fields using minimum energy method, J. Acoust. Soc. Am. 127, 300–308 (2010)
T. Rossing: Chladni’s law for vibrating plates, Am. J. Phys. 50, 271–274 (1982)
D. Waller: Chladni Figures: A Study in Symmetry (Bell, London 1961)
T.R. Moore, A.E. Cannaday, S.A. Zietlow: A simple and inexpensive optical technique to help students visualize mode shapes, J. Acoust. Soc. Am. 131, 2480–2487 (2012)
J.R. Comer, M.J. Shepard, P.N. Henriksen, R.D. Ramsier: Chladni plates revisited, Am. J. Phys. 72, 1345–1346 (2004)
H.A. Conklin: Design and tone in the mechanoiacoustic piano. Part II. Piano structure, J. Acoust. Soc. Am. 100, 695–708 (1996)
N.E. Molin, L.E. Lindgren, E.V. Jansson: Parameters of violin plates and their influence on the plate modes, J. Acoust. Soc. Am. 83, 281–291 (1988)
P.G.M. Richardson, E.R. Toulson, D.J.E. Nunn: Analysis and manipulation of modal ratios of cylindrical drums, J. Acoust. Soc. Am. 131, 907–913 (2012)
T.D. Rossing, A. Perrier: Modal analysis of a Korean bell, J. Acoust. Soc. Am. 94, 2431–2433 (1993)
T. Rossing, I. Bork, H. Zhao, D.O. Fystrom: Acoustics of snare drums, J. Acoust. Soc. Am. 92, 84–94 (1992)
T.J. Hill, B.E. Richardson, S.J. Richardson: Acoustical parameters for the characterization of the classical guitar, Acta Acust. united with Acust. 90, 335–348 (2004)
M.L. Facchinetti, X. Boutillon, A. Constantinescu: Numerical and experimental modal analysis of the reed and pipe of a clarinet, J. Acoust. Soc. Am. 113, 2874–2883 (2003)
G. Jundt, A. Radu, E. Fort, J. Duda, H. Vach, N. Fletcher: Vibrational modes of partly filled wine glasses, J. Acoust. Soc. Am. 119, 3793–3798 (2006)
R. Jones, C. Wykes: Holographic and Speckle Pattern Interferometry (Cambridge Univ. Press, Cambridge 1989)
B. Richardson: The acoustical development of the guitar, J. Catgut Acoust. Soc. 2, 1–10 (1994)
G.M. Brown, R.M. Grant, G.W. Stroke: Theory of holographic interferometry, J. Acoust. Soc. Am. 45, 1166–1179 (1969)
B. Copeland, A. Morrison, T. Rossing: Sound radiation from caribbean steelpans, J. Acoust. Soc. Am. 117, 375–383 (2005)
L.A. Stephey, T.R. Moore: Experimental investigation of an american five-string banjo, J. Acoust. Soc. Am. 124, 3276–3283 (2008)
T.R. Moore, J.D. Kaplon, G.D. McDowall, K.A. Martin: Vibrational modes of trumpet bells, J. Sound Vib. 254, 777–786 (2002)
R. Worland: Normal modes of a musical drumhead under non-uniform tension, J. Acoust. Soc. Am. 127, 525–533 (2010)
A.E. Cannaday, B.C. August, T.R. Moore: Tuning the nigerian slit gong, J. Acoust. Soc. Am. 131, 1566–1573 (2012)
B.M. Deutsch, C.L. Ramirez, T.R. Moore: The dynamics and tuning of orchestral crotales, J. Acoust. Soc. Am. 116, 2427–2433 (2004)
R. Worland: Musical acoustics of orchestral water crotales, J. Acoust. Soc. Am. 131, 935–944 (2012)
T.R. Moore, S.A. Zietlow: Interferometric studies of a piano soundboard, J. Acoust. Soc. Am. 119, 1783–1793 (2006)
A.E. Ennos: Speckle Interferometry (Springer, New York 1984) pp. 203–253, ed. by C. Dainty
T.R. Moore, J.J. Skubal: Time-averaged electronic speckle pattern interferometry in the presence of ambient motion. Part 1. Theory and experiments, Appl. Opt. 47, 4640–4648 (2008)
T.R. Moore: A simple design for an electronic speckle pattern interferometer, Am. J. Phys. 72, 1380–1384 (2004)
T.R. Moore: A simple design for an electronic speckle pattern interferometer, Am. J. Phys. 73, 189 (2005)
Y. Yeh, H.Z. Cummins: Localized fluid flow measurements with an he-ne laser spectrometer, Appl. Phys. Lett. 4, 176–178 (1964)
T. Ryan, P. O’Malley, J. Vignola, J. Judge: Conformal scanning laser doppler vibrometer measurement of tenor steelpan response to impluse excitation, J. Acoust. Soc. Am. 132, 3494–3501 (2012)
E. Skrodzka, A. Lapa, B.B. Linde, E. Rosenfeld: Modal parameters of two incomplete and complete guitars differing in the bracing pattern of the soundboard, J. Acoust. Soc. Am. 130, 2186–2194 (2011)
V. Chatziioannou, W. Kausel, T. Moore: The effect of wall vibrations on the air column inside trumpet bells. In: Proc. Acoustics Nantes Conf. EAA, Nantes (2012) pp. 2243–2248
E. De Lauro, S. De Martino, E. Esposito, M. Falanga, E.P. Tomasini: Analogical model for mechanical vibrations in flue organ pipes inferred by independent component analysis, J. Acoust. Soc. Am. 122, 2413–2424 (2007)
E. Hecht: Optics, 4th edn. (Addison Wesley, San Francisco 2002) pp. 560–578
L.E. Lyshevski: MEMS and NEMS: Systems, Devices and Structures (CRC, Boca Raton 2001)
H. Suzuki: Vibration and sound radiation of a piano soundboard, J. Acoust. Soc. Am. 80, 1573–1582 (1986)
J. Berthaut, M.N. Ichchou, L. Jézéquel: Piano soundboard: structural behavior, numerical and experimental study in the modal range, Appl. Acoust. 64, 1113–1136 (2003)
O. Inácio, L.L. Henrique, J. Antunes: The dynamics of tibetan singing bowls, Acta Acust. united with Acust. 92, 637–653 (2006)
C. Waltham, A. Kotlicki: Vibrational characteristics of harp soundboards, J. Acoust. Soc. Am. 124, 1774–1780 (2008)
D.J. Ewins: Modal Testing: Theory, Practice and Application (Research Studies, Baldock 2000) pp. 25–286
A.H. Benade, M.I. Ibisi: Survey of impedance methods and a new piezo-disk-driven impedance head for air columns, J. Acoust. Soc. Am. 81, 1152–1167 (1987)
J.C. Webster: An electrical method of measuring the intonation of cup-mouthpiece instruments, J. Acoust. Soc. Am. 19, 902–906 (1947)
J. Agulló, J. Badrinas: Improving the accuracy of the cappillary based technique for measuring the acoustic impedance of wind instruments, Acustica 59, 76–83 (1985)
W. Kausel: Bore reconstruction of tubular ducts from its acoustic input impedance curve. In: Proc. IEEE Instrument Measurement Technol. Conf., New York (2003) pp. 993–998
S. Elliott, J. Bowsher, P. Watkinson: Input and transfer response of brass wind instruments, J. Acoust. Soc. Am. 72, 1747–1760 (1982)
J.Y. Chung, D.A. Blaser: Transfer function method of measurring in-duct acoustic properties I. Theory, J. Acoust. Soc. Am. 68, 907–913 (1980)
J.Y. Chung, D.A. Blaser: Transfer function method of measurring in-duct acoustic properties II. Experiment, J. Acoust. Soc. Am. 68, 914–921 (1980)
V. Gibiat, F. Laloë: Acoustical impedance measurements by the two-microphone-three-calibration (TMTC) method, J. Acoust. Soc. Am. 88, 2533–2545 (1990)
P.-P. Dalmont: Acoustic impedance measurement, Part I: A review, J. Sound. Vib. 243, 427–439 (2001)
M. van Walstijn, D.M. Campbell, J. Kemp, D. Sharp: Wideband measurement of the acoustic impedance of tubular objects, Acta Acust. united with Acust. 91, 590–604 (2005)
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Moore, T. (2018). Measurement Techniques. In: Bader, R. (eds) Springer Handbook of Systematic Musicology. Springer Handbooks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55004-5_5
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