Driven Mass and Spring Mesh Model

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  • Version:
  • Publisher:
    www.compadre.org
  • File Size: 1.06 MB
  • Date: Dec 14, 2010
  • License: Free
  • Category:
    Graphing Software
    Design
Driven Mass and Spring Mesh Model Download
Free Download Driven Mass and Spring Mesh Model

Displays the dynamics of a 2D array of masses coupled by springs.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.?Use the resonance scan option to shows this plot. The differential equations for the mesh are solved for the given number of skip cycles and the mechanical energy is computed and a data point is added to the graph. The frequency is then incremented and the measurement is repeated when the scan button is pressed. Because resonances are often sharp, the frequency increment f can be decreased to obtain a high-resolution spectrum.

Requirements:
* Java

The license of this software is Free, you can free download and free use this graphing software.

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