Oscillations and Waves > Oscillations > Nonlinear
Systems
DCS# 3A95.50 v 2
CHAOTIC PENDULUM
APPARATUS
Daedalon chaotic pendulum
202-13-E3
driver
202-13-E3
interface
202-13-E3
laptop
206
DESCRIPTION
This is a damped driven pendulum
with an optical encoder wheel for monitoring angular position vs
time. The driver frequency and amplitude are
adjustable. Damping is controlled with the micrometer that
sets the separation between the copper plate and the ring magnet.
The software graphs a phase plot and a
poincare section. A scope can be used to display the drive signal.
The software includes a simulation for which all parameters are
user-controllable.
Sample graphs:
NOTES
The resonance frequency is
1.46 ± 0.02 Hz.
Sampling rate is 500 pts/sec. Maximum number of points is 106.
The "save orbit" command saves the
next n points (not the currently displayed data) to a text file, with
columns: time, angular position
(radians), angular velocity (rad/sec), and winding number.
Angular position ranges from -pi to +pi; so angular displacement can be
obtained from
angular position + winding number * 2pi.
"Clear" will refresh the phase plot while preserving the poincare plot.
Occasionally the "Halt" command clears the screen.
To recover from the "runtime error: overflow", disconnect then
reconnect the USB cable.
