4-055-S-ShatterWineGlass

By Jue Wang

Mathematics, Union College, Schenectady NY USA

Download (PDF)

Licensed according to this deed.

Published on

Abstract

This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important? Three cases are presented: shattering a wine glass, collapse of a suspension bridge, and crash of aircrafts. Pure resonance and practical resonance are introduced through modeling the torsional dynamics of a suspension bridge. Students solve second-order non-homogeneous differential equations analytically and numerically. Furthermore, they graph, observe, describe and explain the motion and behaviors of the solutions.

Cite this work

Researchers should cite this work as follows:

  • Jue Wang (2018), "4-055-S-ShatterWineGlass," https://www.simiode.org/resources/5050.

    BibTex | EndNote

Tags