Publication Date
2000
Abstract
Chladni Patterns are formed when sand settles at the nodes of two dimensional standing waves, excited on a metallic plate which is driven at a resonant frequency. By considering a two-dimensional rectangular membrane with fixed boundary and constant density as an idealized model of the metal plate, a formula for predicting the Chladni Patterns that will form at certain frequencies can be found. In addition to mathematically exploring these mysterious patterns, I have created my own “Chladni Patterns” in the lab.
Volume
3
Issue
1
First Page
131
Last Page
146
Rights
© Virginia Mathematics and Science Coalition, licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0) (https://creativecommons.org/licenses/by/4.0/)
DOI
https://doi.org/10.25891/YZDP-NS05
Recommended Citation
Coughlin, A. M.
(2000)
"Patterns in the Sand: Mathematical Exploration of Chladni Patterns,"
Journal of Mathematics and Science: Collaborative Explorations: Vol. 3:
No.
1, Article 20.
Available at:
https://scholarscompass.vcu.edu/jmsce_vamsc/vol3/iss1/20
Included in
Higher Education Commons, Physical Sciences and Mathematics Commons, Science and Mathematics Education Commons, Teacher Education and Professional Development Commons
