Numerical method for calculating input impedances of the oboe

Abstract

The purpose of this study was to investigate a numerical method for obtaining input impedances of doublereed instruments--the oboe in particular. To this end, the physical dimensions of an oboe were used to compute its input impedance as a function of frequency for several different fingerings. The numerically computed input impendances of the oboe were compared to experimentally measured curves with good agreement resulting in most cases. The reasons for the observed discrepancies are discussed and suggestions for improving the ageement between the predicted and experimental frequencies are given.

Investigating the consistency of woodwind instrument manufacturing by comparing five nominally identical oboes

“…The geometries of the instruments are established through bore profile measurements, made both directly using a set of high precision measurement discs and non-invasively using the technique of acoustic pulse reflectometry 1,2,3 . The strengths and frequencies of the instruments' resonances are determined through measurements of input impedance 4,5,6 . In addition, 4 psychophysical testing 7 is employed to evaluate the abilities of oboists to perceive differences in the playing properties of the instruments.…”

Transfer matrix of conical waveguides with any geometric parameters for increased precision in computer modeling

“…This includes computer modeling of air-conditioning ducts, 4 exhaust mufflers, 5 and wind instruments in musical acoustics. 6,7 …”

“…Such analyses have applications in computer modeling of air-conditioning ducts, 4 exhaust mufflers, 5 and wind instruments in musical acoustics. 6,7 The phase velocity v and attenuation constant ␣, and hence the complex wave number k, depend on the cross-section radius R as well as on the frequency f. As the radius of the cross section is constant throughout a cylindrical element, k is constant, and the transfer matrix is given by Olson 2 and Fletcher and Rossing. 3 An expression for the transfer matrix of a conical element, neglecting the dependence on cross-section radius and assuming constant complex wave number, is given by Olson 2 and Fletcher and Rossing.…”

“…[9][10][11] For applications of computational methods for modeling wind instruments in musical acoustics, refer to. 3,6,7,[12][13][14] Applications of numerical techniques in the design of mufflers in exhaust systems are discussed in Refs. 15 and 16.…”

Model of the Photoacoustic Helmholtz Resonator with Conical-Ended Duct

“…In the model with lumped elements, the duct is represented by a series connection of resistance R and inductance L, while in the transmission line model, the duct is considered as a transmission line. Furthermore, the mentioned components (capacitors, inductors, resistors, transmission line) may be defined in many different ways [11,[13][14][15][16][17][18][19][20][21][22][23]. In order to limit the number of model variants, some preliminary experimental verification of the models was performed [24], leading to the conclusion that the best results are obtained with the transmission line model and the model with lumped elements presented by Kastle and Sigrist [15].…”