Active Damping Of A Vibrating String

Edgar Berdahl and Julius O. Smith III


Sound examples from the simulation:
The impulse response of the string model.
The impulse response of the model when damped using the derivative of the displacement.
The poles in this case correspond precisely to the magenta squares in Figure 5.
The impulse response of the model when damped using the integral of the displacement.
The poles in this case correspond precisely to the magenta squares in Figure 6.



Sound examples from the experiment using integral control:

Four actively damped plucks followed by one undamped pluck.
(There is a small transient at the onset of the undamped pluck due to splicing.)
At the beginning, control is applied only to the vertical axis. As time progresses, control is
added to the horizontal axis. Near the midpoint, the amounts of control are equal, after which
the control applied to the vertical axis is gradually reduced to zero.



Paper:



To Edgar Berdahl's Web Page

To Julius O. Smith III's Web Page