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Vibrations of a Rectangular Membrane
The two-dimensional wave equation provides a simple model of a vibrating rectangular membrane. You can see the evolution of an initial profile with no initial velocity for a rectangular membrane with no deflection at the boundaries. You can set the superposition of the first four Fourier modes as initial data and you can observe the membrane as time evolves.




"Vibrations of a Rectangular Membrane" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/VibrationsOfARectangularMembrane/
Contributed by: Alain Goriely
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