X. Boutillon et V. Gibiat, EVALUATION OF THE ACOUSTICAL STIFFNESS OF SAXOPHONE REEDS UNDER PLAYING CONDITIONS BY USING THE REACTIVE POWER APPROACH, The Journal of the Acoustical Society of America, 100(2), 1996, pp. 1178-1189
The dynamics of a saxophone reed has been analyzed by means of the sim
plest model-one pure spring-acceptable for frequencies below the reson
ance frequency of the reed. As proposed in the context of bowed string
dynamics [J. Acoust. Sec. Am. 90, 754-763 (1991)], a reactive power i
s defined for the air-column of a saxophone and its reed. When the ins
trument sustains a harmonic tone, a balance between those two reactive
powers can be established, as a generalization onto a multimodal syst
em of the usual condition sin(phi)=0 that a simple oscillator fulfills
when it vibrates at its resonance frequency. The stiffness of the ree
d can be derived from that condition. Experiments were carried out on
a saxophone played by a professional musician. The reed stiffness unde
r playing conditions is determined after separate measurements of the
input impedance (TMTC method) and of the internal pressure spectrum. R
esults are comparable with compliance values measured on isolated reed
s by other authors. (C) 1996 Acoustical Society of America.