Driven Mass and Spring Mesh Model Displays the dynamics of a 2D array of masses coupled by springs
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Driven Mass and Spring Mesh Model Description

Driven Mass and Spring Mesh Model is a little app designed to enable you to study the dynamics of an 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.

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