English

Pure tone modes for a 5:3 elliptic drum

History and Overview 2020-08-18 v1

Abstract

The paper exhibits several standing modes of a 5:3 elliptic drum computed using Mathieu functions. To match the boundary conditions, I used Newton's method on the appropriate modified Mathieu equation using the Squire-Trapp formula for computing derivatives. I tabulate the requisite values of the parameter qq for these low-frequency modes.

Cite

@article{arxiv.2008.06936,
  title  = {Pure tone modes for a 5:3 elliptic drum},
  author = {Robert M. Corless},
  journal= {arXiv preprint arXiv:2008.06936},
  year   = {2020}
}

Comments

12 pages; 56 figurs; two tables

R2 v1 2026-06-23T17:53:21.535Z