Oscillation thresholds for "striking outwards" reeds coupled to a resonator

Abstract : This paper considers a "striking outwards" reed coupled to a resonator. This expression, due to Helmholtz, is not discussed here : it corresponds to the most common model of a lip-type valve, when the valve is assumed to be a one degree of freedom oscillator. The presented work is an extension of the works done by Wilson and Beavers (1974), Tarnopolsky (2000). The range of the playing frequencies is investigated. The first results are analytical : when no losses are present in the resonator, it is proven that the ratio between the threshold frequency and the reed resonance frequency is found to be necessarily within the interval between unity and the square root of 3. This is a musical sixth. Actually the interval is largely smaller, and this is in accordance with e.g. the results by Cullen et al.. The smallest blowing pressure is found to be directly related to the quality factor of the reed. Numerical results confirm these statements, and are discussed in comparison with previous ones by Cullen et al (2000).
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00150185
Contributor : Fabrice Silva <>
Submitted on : Tuesday, May 29, 2007 - 4:54:21 PM
Last modification on : Thursday, October 10, 2019 - 1:26:07 PM
Long-term archiving on : Thursday, April 8, 2010 - 6:16:34 PM

File

ISMA-Silva-Kergomard-Vergez.pd...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00150185, version 1
  • ARXIV : 0705.4242

Citation

Fabrice Silva, Jean Kergomard, Christophe Vergez. Oscillation thresholds for "striking outwards" reeds coupled to a resonator. Proceedings of the International Symposium on Musical Acoustics (ISMA), Sep 2007, Barcelona, Spain. CD-ROM(7 p.). ⟨hal-00150185⟩

Share

Metrics

Record views

208

Files downloads

102