Abstract
We consider a two-dimensional system: the vibrating membrane. We shall see that the methods applied for the treatment of a vibrating string can be simply transferred in many respects.
The membrane is a skin without an elasticity of its own. The stretching of the membrane along the edge leads to a tension force that acts as a backdriving force on a deformed membrane.
Let the tangential tension in the membrane be spatially constant and time independent. We consider only vibrations with amplitudes so small that displacements within the membrane plane can be neglected.
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© 2010 Springer-Verlag Berlin Heidelberg
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Greiner, W. (2010). The Vibrating Membrane. In: Classical Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03434-3_10
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DOI: https://doi.org/10.1007/978-3-642-03434-3_10
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03433-6
Online ISBN: 978-3-642-03434-3
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