The Damped Nonlinear Pendulum

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The plots show the motion of a harmonic oscillator with damping, in phase space on the left and as a function of time on the right, with the position of the pendulum in the top-right corner. The equation of motion is , where is the natural frequency and is the damping constant. This equation does not take the form of the usual approximation .

[more]

Nonlinear analogs of underdamping and overdamping can be observed.

The second-order equation can be solved by splitting it into two first-order equations.

[less]

Contributed by: Enrique Zeleny (September 2018)
Open content licensed under CC BY-NC-SA


Details


Snapshots



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send