Developed by Eric Ayars - Published August 1, 2016
|Levels||First Year and Beyond the First Year|
|Available Implementations||Python, IPython/Jupyter Notebook, Mathematica, and Easy Java Simulations|
Students who complete these exercises will be able to use an ODE solver to develop a qualitative understanding of the behavior of an anharmonic oscillator. Most students gain a good understanding of the behavior of harmonic oscillators in their introductory classes, but not all oscillators are harmonic. Here we investigate an idealized boat hull which exhibits asymmetric oscillation: the restoring force is stronger for displacements in one direction than in the other. This results, for large oscillations, in a visibly non-sinusoidal oscillation. For small oscillations, the motion is approximately simple harmonic again.
|Time to Complete||120 min|
These exercises are not tied to a specific programming language. Example implementations are provided under the Code tab, but the Exercises can be implemented in whatever platform you wish to use (e.g., Excel, Python, MATLAB, etc.).
Share a Variation
Credits and Licensing
Eric Ayars, "Harmonic and Anharmonic Oscillations of a Boat," Published in the PICUP Collection, August 2016, https://doi.org/10.1119/PICUP.Exercise.anharmonic.
The instructor materials are ©2016 Eric Ayars.
The exercises are released under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 license