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written by Wolfgang Christian
The Driven Mass and Spring Mesh model displays the dynamics of a 2D array of masses coupled by springs and driven by a sinusoidal force.  The model shows a time-dependent animation of the displacement or each mass.

The driving force can be applied at a single point (shown in red) or uniformly at all mesh points and the drive frequency f and amplitude A can be set as well as a damping coefficient b.  As the frequency is varied the mesh vibrates strongly (resonates) at some frequencies and very little at others. These resonances have patterns that were first studied by Ernst Chladni and this simulation is designed to investigate these patterns using an idealized mass and spring model.

In order to find the resonances, it is useful to plot the mechanical energy as a function of frequency f after the system reaches its oscillatory steady state.  A resonance scan option shows this plot.

The  Driven Mass and Spring Mesh 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_DrivenMassAndSpringMesh.jar file will run the program if Java is installed.

Please note that this resource requires at least version 1.5 of Java.
View the source code document attached to this resource
Subjects Levels Resource Types
Oscillations & Waves
- Oscillations
= Coupled Oscillations
= Driven Mechanical Resonance
= Normal Modes
= Springs and Oscillators
- Wave Motion
= Standing Waves
- Upper Undergraduate
- Lower Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- Educators
- application/java
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Access Rights:
Free access
License:
This material is released under a GNU General Public License Version 3 license. Additional information is available.
Rights Holder:
Wolfgang Christian
Keyword:
coupled oscillator
Record Cloner:
Metadata instance created October 10, 2010 by Wolfgang Christian
Record Updated:
June 3, 2014 by Andreu Glasmann
Last Update
when Cataloged:
October 10, 2010
Other Collections:

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Record Link
AIP Format
W. Christian, Computer Program DRIVEN MASS AND SPRING MESH MODEL, Version 1.0 (2010), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10398&DocID=1869).
AJP/PRST-PER
W. Christian, Computer Program DRIVEN MASS AND SPRING MESH MODEL, Version 1.0 (2010), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10398&DocID=1869>.
APA Format
Christian, W. (2010). Driven Mass and Spring Mesh Model (Version 1.0) [Computer software]. Retrieved October 22, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10398&DocID=1869
Chicago Format
Christian, Wolfgang. "Driven Mass and Spring Mesh Model." Version 1.0. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10398&DocID=1869 (accessed 22 October 2014).
MLA Format
Christian, Wolfgang. Driven Mass and Spring Mesh Model. Vers. 1.0. Computer software. 2010. Java 1.5. 22 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10398&DocID=1869>.
BibTeX Export Format
@misc{ Author = "Wolfgang Christian", Title = {Driven Mass and Spring Mesh Model}, Month = {October}, Year = {2010} }
Refer Export Format

%A Wolfgang Christian
%T Driven Mass and Spring Mesh Model
%D October 10, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10398&DocID=1869
%O 1.0
%O application/java

EndNote Export Format

%0 Computer Program
%A Christian, Wolfgang
%D October 10, 2010
%T Driven Mass and Spring Mesh Model
%7 1.0
%8 October 10, 2010
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=10398&DocID=1869


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Driven Mass and Spring Mesh Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Driven Mass and Spring Mesh Model.

relation by Wolfgang Christian

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