1. A Transfer Matrix for the Input Impedance of weakly tapered Cones as of Wind Instruments
- Author
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Grothe, Timo, Baumgart, Johannes, and Nederveen, Cornelis J.
- Subjects
Physics - Fluid Dynamics ,Physics - Classical Physics ,76N30 ,J.2 - Abstract
A formula for the local acoustical admittance in a conical waveguide with viscous and thermal losses given by Nederveen [(1969) Acoustical Aspects of Woodwind Instruments (Frits Knuf, Amsterdam)] is rewritten as an impedance transmission matrix. Based on a self-consistent approximation for the cone, it differs from other one-dimensional transmission matrices used in musical acoustics, which implicitly include the loss model of a cylinder. The resonance frequencies of air columns calculated with this transmission matrix are in better agreement with more comprehensive models. Even for long cones with a slight taper, there is no need to discretize along the axis., Comment: 7 pages, 2 figures
- Published
- 2023
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