Fraktale
Inverted Pendulum with Leaf and Coil Springs
In the animated inverted pendulum below, the transitions between order and chaos can also be observed. The driving force of motor M is transmitted to the pendulum body via the two spring pendulums. The focus is on the amplitude progression of the pendulum’s oscillation as an angle. Deviations from stable oscillation can be assessed using a color indicator in the diagram. Once enough data points have been recorded, the color of the small square changes. Yellow indicates minor deviations from a uniform amplitude, red shows significant deviations, and green appears when the amplitude remains relatively stable.
Experiments with the Inverted Spring Pendulum
The simulation follows the settings of the physical parameters.
- Determine appropriate settings for each of the three conditions mentioned above.
- Vary the physical conditions (mass, length, spring constants, driving force, damping, etc.) and make observations.
- With a driving force of 0, you obtain a freely oscillating inverted pendulum. A damping value greater than 0 brings the simulation closer to physical reality.
Quick-Links
© 2007 Ulrich Schwebinghaus