Quasi-Static approximation

The playing frequency is much lower than the resonance frequency $\omega_r$ .

$\begin{displaymath}H_c(s)\Delta P(s) \simeq H_c(0)\Delta P(s)\end{displaymath}$

$\begin{displaymath}\Rightarrow Y_r(s) \simeq -\Delta P(s)/k_r \end{displaymath}$

$\Downarrow$

$u_f= \left\{ \begin{array}{lr} \displaystyle A\cdot \mbox{sgn}(\Delta p) ... ...\ &\\ 0 & \hspace{.5 cm}\mbox{if } \Delta p\geq k_r H \end{array}\right.$

$\includegraphics[width=8cm]{static.eps}$

2000-09-12