A simple graphical method for calculating the standing wave frequencies on a rectangular membrane

Joseph D. Romano, Richard H. Price

Research output: Contribution to journalArticlepeer-review

Abstract

10.1119/10.0001299.1 In introductory physics courses, simple arguments based on traveling waves on a string are used to relate the frequency of standing waves to boundary conditions, e.g., the fixed ends of the string. Here, we extend that approach to two-dimensional waves such as the oscillations of a rectangular membrane with edges fixed at the boundary. This results in a graphical method that uses only simple geometry and is suitable for explaining two-dimensional standing-wave oscillations to non-science majors, e.g., in a physics of sound and music class.

Original languageEnglish
Pages (from-to)605-611
Number of pages7
JournalAmerican Journal of Physics
Volume88
Issue number8
DOIs
StatePublished - Aug 1 2020

Fingerprint Dive into the research topics of 'A simple graphical method for calculating the standing wave frequencies on a rectangular membrane'. Together they form a unique fingerprint.

Cite this