Vibrating Drumhead JS Model Documents

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Main Document
Vibrating Drumhead JS Model
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 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
This file has previous versions.
Source Code Documents
Vibrating Drumhead Source Code
The JavaScript EJS Vibrating Drumhead model source code.
- Download ejss_src_VibratingDrumhead.zip - 85kb Compressed File
Last Modified September 28, 2023