2009-07-24, English, Article, Journal or magazine article edition: Nonlinear modes of clarinet-like musical instruments. Noreland, Daniel; Bellizzi, Sergio; Vergez, Christophe; ...

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2009 July 24
Language
  • English

Edition details

Title
  • Nonlinear modes of clarinet-like musical instruments.
Appears In
  • Journal of Sound and Vibration, v.324, no.3-5, 2009 July 24, p.983(20) (ISSN: 0022-460X)
Author
  • Noreland, Daniel
  • Bellizzi, Sergio
  • Vergez, Christophe
  • Bouc, Robert
Published
  • Elsevier B.V., 2009 July 24
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.jsv.2009.02.043 Byline: Daniel Noreland, Sergio Bellizzi, Christophe Vergez, Robert Bouc Abstract: The concept of nonlinear modes is applied in order to analyze the behavior of a model of woodwind reed instruments. Using a modal expansion of the impedance of the instrument, and by projecting the equation for the acoustic pressure on the normal modes of the air column, a system of second-order ordinary differential equations is obtained. The equations are coupled through the nonlinear relation describing the volume flow of air through the reed channel in response to the pressure difference across the reed. The system is treated using an amplitude-phase formulation for nonlinear modes, where the frequency and damping functions, as well as the invariant manifolds in the phase space, are unknowns to be determined. The formulation gives, without explicit integration of the underlying ordinary differential equation, access to the transient, the limit cycle, its period and stability. The process is illustrated for a model reduced to three normal modes of the air column. Author Affiliation: Laboratoire de Mecanique et d'Acoustique (LMA-CNRS UPR 7051), 31 Chemin Joseph Aiguier, 13402 Marseille Cedex 20, France Article History: Received 21 April 2008; Revised 25 February 2009; Accepted 26 February 2009 Article Note: (miscellaneous) Handing Editor: C.L. Morfey
Terms of Use
  • COPYRIGHT 2009 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 200923119

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Defence Science and Technology Group. DST Group Research Information Services - Melbourne. Not open to the public Serials; Vol. 64, no. 1-v. 330, no.26; 1979-2001; Lacks Vol. 199, no. 4 (1997)-v. 205, no. 3 (1997) Periodical; Journal, magazine, other English
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RMIT University. RMIT University Library. Open to the public 9912306910001341; PER 534 J86; Held in Storage. Request from <a href=http://www.rmit.edu.au/library/dds target=_blank>Document Delivery</a>; v. 9 (1969)-v. 228 (1999) Periodical; Journal, magazine, other English
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