written by Wolfgang Christian

The Vibrating Drumhead model displays the analytical wave equation solution for a thin  circular membrane with a fixed boundary. The spatial part of the analytic solution u(r,?) is expressed in polar coordinates using Bessel functions and sinusoidal functions. The complete solution to drumhead motion is a superposition (sum) of single frequency oscillatory solutions. These vibrations are known as modes and are enumerated by 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 Vibrating Drumhead JavaScript Model was developed using version 5 of the Easy Java Simulations (EJS 5) modeling tool. Although EJS is a Java program, EJS 5 creates stand alone JavaScript programs that run in almost any browser.

• Download ejss_model_VibratingDrumhead.zip - 433kb Compressed File

Published September 10, 2016
Last Modified September 28, 2023

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The JavaScript EJS Vibrating Drumhead model source code.

• Download ejss_src_VibratingDrumhead.zip - 85kb Compressed File

Last Modified September 28, 2023