Normal Modes of a Circular Drum Head

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This Demonstration illustrates the normal vibrational modes of a drum head fixed along a circular edge. Each mode with elongation (in polar coordinates) is related to Bessel functions of the first kind,
, where
is the radial coordinate,
the polar angle, and
the time. Selecting the order,
, determines the angular periodicity of the drum head. Selecting the
zero
of
determines the number of antinodes along a radial line connecting the center and outer edge.
Contributed by: Adam Smith (March 2011)
Open content licensed under CC BY-NC-SA
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"Normal Modes of a Circular Drum Head"
http://demonstrations.wolfram.com/NormalModesOfACircularDrumHead/
Wolfram Demonstrations Project
Published: March 7 2011