Dynamical equations for sound generation in wind instruments
Robert E. Davis, Arnold Tubis · The Journal of the Acoustical Society of America · 1984
An exact set of coupled ordinary, nonlinear differential equations is derived for the mouthpiece pressure in reed wind instruments for cases in which the mouthpiece impedance function is expressible as a series of pole terms in the complex frequency plane. The equations are applicable even in the “beating reed” regime. The integration of the equations to obtain transient and steady state behaviors of the instrument apepars to be a practical alternative to integral equation approaches.