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Ye Lu 2011-03-14.  Stefan Bilbao, 2009, Numerical Sound Synthesis: Finite Difference Schemes and Simulation in Musical Acoustics.

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Presentation on theme: "Ye Lu 2011-03-14.  Stefan Bilbao, 2009, Numerical Sound Synthesis: Finite Difference Schemes and Simulation in Musical Acoustics."— Presentation transcript:

1 Ye Lu

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3  Stefan Bilbao, 2009, Numerical Sound Synthesis: Finite Difference Schemes and Simulation in Musical Acoustics

4  F. Avanzini and M. van Walstijn, “Modeling the mechanical response of the reed- mouthpiece-lip system of a clarinet. 1. A one-dimensional distributed model”, Acta Acust, 90, (2004).

5  Single degree of freedom with constant parameters can only be assumed for oscillations at small amplitudes  Reed beating is usually incorporated in a non-physical way by imposing a maximum allowed displacement for the reed tip  The dependence of the reed-mouthpiece system on the lip embouchure is not considered in lumped model

6  A bar with non-uniform cross-sectional area  Clamped to the mouthpiece at one end  Additional constraints provided by the mouthpiece profile and interaction with the lip

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8  One-dimensional: assume no torsional modes in the reed  No attempt to model the air flow in the reed channel or to simulate the acoustical resonator

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13  Finite Difference Method

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17  Unconditional stable when Θ > 1/4

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19  The reed tip can not exceed a certain value  The tip is not stopped suddenly but rather gradually

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21 Thank You!


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