The model

The reed is assumed to be a rather than a vibrating bar ($\omega_r$ very high with respect to playing frequencies).

$\left\{ \begin{array}{lr} \displaystyle \mu_r \left( \ddot{x}_r +g_r\dot{x}... ...r=\dot{x_r}=0 & \hspace{.5 cm}\mbox{if } \; x_r\leq 0 \\ \end{array}\right.$

In normal playing conditions:

$\omega_r \simeq 2\pi\cdot3000$ [rad/s]	(resonance frequency)
$\omega_r/g_r \simeq 3$	(quality factor)
$k_r=\mu_r\omega_r^2 \simeq 1.25 \cdot 10^7$ [Pa/m]	(stiffness)
$H \simeq 4\cdot 10^{-4}$ [m]	(rest position)

(are all embouchure-related parameters).