The Circular Membrane Modes model displays the analytical wave equation solution for an ideal circular membrane with a fixed boundary. The solution is described by two integers m and n where n is a positive integer that counts the number of radial nodes and m counts the number of azimuthal (angular) nodes. The model shows a time-dependent animation of the membrane displacement and Chladni-like nodal pattern.
The Circular Membrane Modes model is a supplemental simulation for the article "Chladni Patterns on Drumheads: A Physics of Music Experiment" by Randy Worland in The Physics Teacher 49(1), 24-27 (2011) and has been approved by the authors and The Physics Teacher editor. The model was developed using the Easy Java Simulations (EJS) modeling tool. It is distributed as a ready-to-run (compiled) Java archive. Double clicking the ejs_mech_CircularMembraneModes.jar file will run the program if Java is installed.
Please note that this resource requires
at least version 1.5 of
Circular Membrane Modes Source Code
The source code zip archive contains an XML representation of the Circular Membrane Modes Source model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 22kb .zip
Last Modified: October 10, 2010
%0 Computer Program %A Christian, Wolfgang %D October 10, 2010 %T Circular Membrane Modes Model %7 1.0 %8 October 10, 2010 %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10397&DocID=1867
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