Numerical and experimental modal analysis of the reed and pipe of a clarinet

Journal of the Acoustical Society of America

Volumn 113, Issue 5, 2003, Pages 2874-2883

  Facchinetti, Matteo L ^a   Boutillon, Xavier ^b,c   Constantinescu, Andrei ^c  

^a ECOLE POLYTECHNIQUE   (France)

^b SORBONNE UNIVERSITÉ   (France)

^c LABORATOIRE DE MÉCANIQUE DES SOLIDES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FREQUENCIES; HOLOGRAPHIC INTERFEROMETRY; MATHEMATICAL MODELS; RESONANCE;

LUMPED-RESONATOR MODEL;

ACOUSTICS;

ACOUSTICS; CONFERENCE PROCEEDING;

ACOUSTIC IMPEDANCE; ACOUSTICS; CLARINET; CONFERENCE PAPER; DENSITY; HOLOGRAPHY; INSTRUMENT; INTERFEROMETRY; MATHEMATICAL MODEL; POISSON DISTRIBUTION; PRIORITY JOURNAL; YOUNG MODULUS;

ACOUSTICS; AIR; HUMANS; MODELS, THEORETICAL; MUSIC;

EID: 0038371325     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1560212     Document Type: Conference Paper

References (31)

1. C. J. Nederveen, Acoustical Aspects of Woodwind Instruments (Illinois University Press (first ed. Frits Knuf Pub., Amsterdam), Dekalb, 1998 (first ed. 1968)).
2. A. H. Benade, Fundamentals of Musical Acoustics (Oxford University Press, New York, 1976).
3. J. Kergomard, "Elementary considerations on reed-instrument oscillations," in Mechanics of Musical Instruments (Springer, New York, 1995).
4. D. Campbell, "Nonlinear dynamics of musical reed and brass wind instruments," Contemp. Phys. 40, 415-431 (1999).
5. J. Gilbert, "Étude des instruments à anche simple" (On simple reed instruments), Ph.D. thesis, Université du Maine-Le Mans, 1991.
6. X. Boutillon and V. Gibiat, "Evaluation of the acoustical stiffness of saxophone reeds under playing conditions by using the reactive power approach," J. Acoust. Soc. Am. 100, 1178-1189 (1996).
7. R. Schumacher, "Ab initio calculations of the oscillations of a clarinet," Acustica 48, 73-85 (1981).
8. M. Mcintyre, R. Schumacher, and J. Woodhouse, "On the oscillations of musical-instruments," J. Acoust. Soc. Am. 74, 1325-1345 (1983).
9. C. Maganza, R. Causse, and F. Laloe, "Bifurcations, period doublings and chaos in clarinet-like systems," Europhys. Lett. 1, 295-302 (1986).
10. X. Rodet and C. Vergez, "Nonlinear dynamics in physical models: Simple feedback-loop systems and properties," Comput. Music J. 23, 18-34 (1999).
11. J. Smith, "Physical modeling using digital wave-guides," Comput. Music J. 16, 74-98 (1992).
12. B. Gazengel, J. Gilbert, and N. Amir, "Time-domain simulation of single reed wind instrument - From the measured input impedance to the synthesis signal - Where are the traps?," Acta Acustica 3, 445-472 (1995).
13. E. Ducasse, "Modelisation et simulation dans le domaine temporel d'instruments à vent a anche simple en situation de jeu" (Time-domain model and simulation of simple-reed instruments in playing conditions), Ph.D. thesis, Université du Maine-Le Mans, 2001.
14. E. Ducasse, "Models of musical-instruments for sound synthesis: Application to woodwind instruments," J. Phys. (France) 51, 837-840 (1990).
15. S. Stewart and W. Strong, "Functional-model of a simplified clarinet," J. Acoust. Soc. Am. 68, 109-120 (1980).
16. S. Sommerfeldt and W. Strong, "Simulation of a player clarinet system," J. Acoust. Soc. Am. 83, 1908-1918 (1988).
17. B. Gazengel and J. Gilbert, "Numerical simulations in time and frequency domains - Comparative-study, application to single-reed woodwind instruments," J. Phys. IV 4, 577-580 (1994).
18. P. Hoekje and G. Roberts, "Observed vibration patterns of clarinet reeds," J. Acoust. Soc. Am. 99, 2462(A) (1996).
19. I. Lindevald and J. Gower, "Vibrational modes of clarinet reeds," J. Acoust. Soc. Am. 102, 3085(A) (1997).
20. B. Richardson (private communication).
21. D. Casadonte, "The perfect clarinet reed? Vibrational modes of realistic clarinet reeds," J. Acoust. Soc. Am. 94, 1807(A) (1993).
22. M. Facchinetti, "Etude des vibrations de l'anche de la clarinette" and "Analisi del comportamento dinamico di un clarinetto," Ecole Polytechnique-Paris and Politecnico-Milano (1999).
23. M. Facchinetti, X. Boutillon, and A. Constantinescu, "Application of modal analysis and synthesis of reed and pipe to numerical simulations of a clarinet," J. Acoust. Soc. Am. 108, 2590(A) (2000).
24. E. Marandas, V. Gibiat, C. Besnainou, and N. Grand, "Mechanical characterization of woodwind reeds," J. Phys. IV 4, 633-636 (1994).
25. E. Obataya and M. Norimoto, "Acoustic properties of a reed (Arundo donax L.) used for the vibrating plate of a clarinet." J. Acoust. Soc. Am. 106, 1106-1110 (1999).
26. R.-J. Gibert, Vibrations des Structures-Interactions avec les Fluides (Eyrolles, Paris, 1988).
27. K. Menou, B. Audit, X. Boutillon, and H. Vach, "Holographic study of a vibrating bell: An undergraduate laboratory experiment," Am. J. Phys. 66, 380-385 (1998).
28. V. Gibiat and F. Laloe, "Acoustical impedance measurements by the 2-microphone-3-calibration (tmtc) method," J. Acoust. Soc. Am. 88, 2533-2545 (1990).
29. V. Gibiat, "Mesures d'impédance acoustique pour la clarinette," proprietary software and private communication, 1999.
30. B. Gazengel, "Caractérisation des instruments à anche simple" (Characterization of simple reed instruments), Ph.D. thesis, Université du Maine-Le Mans, 1994.
31. F. Pinard, B. Laine, and H. Vach, "Musical quality assessment of clarinet reeds using optical holography," J. Acoust. Soc. Am. 113, 1736-1742 (2003).