Saturation mechanism in clarinet-like instruments, the effect of the localised non-linear losses

Applied Acoustics

Volumn 65, Issue 12 SPEC. ISS., 2004, Pages 1133-1154

  Atig, Mérouane ^a   Dalmont, Jean Pierre ^a   Gilbert, Joël ^a  

^a UNIVERSITÉ DU MAINE   (France)

Author keywords

Artificial mouth; Linear and non linear losses; Non linearity of an orifice; Playing range; Reed wind instruments (clarinet)

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; LINEAR EQUATIONS; OPTIMIZATION; PROBLEM SOLVING; SPECTRUM ANALYSIS;

ARTIFICIAL MOUTH; NON-LINEARITY OF AN ORIFICE; PLAYING RANGE; REED WIND INSTRUMENTS;

OSCILLATIONS;

EID: 4944221766     PISSN: 0003682X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apacoust.2004.04.005     Document Type: Article

References (35)

1. Nederveen CJ. Acoustical aspects of woodwind instruments. Northern Illinois University Press; 1998.
2. Fletcher NH, Rossing TD. The physics of musical instruments. Berlin: Springer-Verlag; 1998.
3. Hirschberg A. Aero-acoustics of wind instruments. In: Mechanics of musical instruments. CISM courses and lectures, vol. 355. Wien: Springer-Verlag; 1995.
4. Kergomard J. Elementary considerations on reed-instruments oscillations. In: Mechanics of musical instruments. CISM courses and lectures, vol. 355. Wien: Springer-Verlag; 1995.
5. Worman WE. Self-sustained non-linear oscillations of medium amplitude in clarinet-like systems. PhD thesis, Case Western University, Cleveland, Ohio; 1971.
6. Benade AH, Kouzoupis SN. The clarinet spectrum: theory and experiment. J Acoust Soc Am 1988;83(1):292-304.
7. Me Intyre ME, Scumacher RT, Woodhouse J. On the oscillations of musical instruments. J Acoust Soc Am 1983:74:1325-45.
8. Grand N, Gilbert J, Lalöe F. Oscillation threshold of woodwinds instruments. Acta Acust 1997;1:137-51.
9. Dalmont J-P, Gilbert J, Kergomard J. Reed instruments from small to large amplitude periodic oscillations and the Helmholtz motion analogy. ACUSTICA - Acta Acust 2000;86(4):671-84.
10. Benade AH. Fundamentals of musical acoustics. New York: Dover; 1976.
11. Benade AH, Cuddeback JK. Quasi-turbulent damping at wind instrument joints and tone holes. J Acoust Soc Am 1973;55(1):457.
12. Dalmont J-P, Ducasse E, Ollivier S. Saturation mechanism in reed instruments. In: Third EEA European Congress on Acoustic, Sevilla; 2002.
13. Ingard U, Labate S. Acoustic circulation effects and the nonlinear impedance of orifices. J Acoust Soc Am 1950;22(2):211-8.
14. Disselhorst JHM, Van Wijngaarden L. Flow in the exit of open pipes during acoustic resonance. J Fluid Mech 1980;99(2):293-319.
15. Peters MCAM, Hirschberg A, Reijnen AJ, Wijnands APJ. Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers. J Fluid Mech 1993;256:499-534.
16. Bouasse H. Instruments à vent, Delagrave; 1929.
17. Coltman JW. Sounding mechanism of the flute and organ pipe. J Acoust Soc Am 1968;44:983-92.
18. Keefe DH. Physical modelling of wood instruments. Comput Music J 1992;16(4):57-73.
19. Benade AH, Keefe DH. The physics of a new clarinet design. Galpin Soc J 1996:113-42.
20. Dalmont J-P, Nederveen CJ, Dubos V, Ollivier S, Méserette V, te Sligte E. Experimental determination of the equivalent circuit of a side hole: linear and non-linear behaviour. ACUSTIC - Acta ACUSTICA 2002;88(4):567-75.
21. Castellengo M, Forest L. Métamorphoses de la flûte traversiére au 19éme siécle: esthétique musicale acoustique et facture. In: Cité de la musique, editor. Acoustique et instruments anciens. Paris: SFA; 1998. p. 85-100.
22. Dalmont J-P, Ducasse E, Ollivier S. Practical consequences of tone holes non-linear behaviour. In: Proceedings of the international symposium on musical acoustics, Perrugia; 2001. p. 153-6.
23. Atig M, Dalmont J-P, Gilbert J. Termination impedance of open-ended cylindrical tube at high sound pressure level. C.R. Mécanique 2004;332:299-304.
24. Gazengel B. Caractérisation objective de la qualité de justesse, detimbre et d'émission des instruments à vent à anche simple. PhD thesis, Université du Maine, Le Mans, France; 1994.
25. Dalmont J-P, Gilbert J, Ollivier S. Non-linear characteristics of single reed instruments: queasisatatic volume flow and reed opening measurements. J Acoust Soc Am 2003;114:2253-62.
26. Dalmont J-P, Gazengel B, Gilbert J, Kergomard J. Some aspects of tuning and clean intonation in reed instruments. Appl Acoust 1995;46:19-60.
27. Ollivier S, Dalmont J-P, Kergomard J. Idealized models of reed woodwinds. Part I: analogy with the bowed string. Acustica [in press].
28. Schumacher RT. Ab initio calculations of the oscillation of a clarinet. Acustica 1981;48:71-85.
29. Maganza C. Excitations non-linéaires d'un conduit acoustique cylindrique. Observations de doublements de période précédent un comportement chaotique. Application à la clarinette. PhD thesis, Université du Maine, Le Mans, France; 1985.
30. Berge P, Pomeau Y, Vidal C. Order within chaos: towards a deterministic approach to turbulence. New York: Wiley; 1987.
31. Guckenheimer J, Holmes P. Nonlinear oscillations dynamical systems and bifurcations of vector fields. Applied mathematical sciences, vol. 42. Berlin: Springer-Verlag; 1997.
32. Ingard U, Ising H. Acoustic nonlinearity of an orifice. J Acoust Soc Am 1967:42(1):6-17.
33. Ollivier S, Dalmont J-P. Mise en évidence d'une non-linéarité localisée au niveau d'un trou latéral d'instrument à vent. In: Véme Congrès Français d'Acoustique, Lausanne; September 2000. p. 310-3.
34. Ollivier S, Kergomard J, Dalmont J-P. Idealized models of reed woodwinds. Part II: on the stability of two-step oscillations. Acustica [in press].
35. Ollivier S. Contribution à l'étude des oscillations des instruments à vent à anche simple. PhD thesis, Université du Maine, Le Mans, France; 2002.