Adding localized nonlinear losses at the open end of a modeled clarinet raises the oscillation threshold and lowers the extinction threshold, narrowing the playable blowing-pressure range.
The Journal of the Acoustical Society of America 118(5), 3294–3305 (2005)
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Oscillation threshold of a Raman clarinet with localized nonlinear losses at the open end
Adding localized nonlinear losses at the open end of a modeled clarinet raises the oscillation threshold and lowers the extinction threshold, narrowing the playable blowing-pressure range.