Normal vibration modes of a circular membrane

Consider the circular membrane shown below,
[The membrane]
viewed from above. Imagine this is elastic and fixed along its circular boundary but otherwise free to vibrate.

The table below shows some animations of the normal modes of vibration of such a circular membrane. They are computed in Matlab and saved as animated GIF files. We've computed the mode of vibration for the first four zeros of the first three Bessel's Functions. Enjoy.

If you would like to interact a bit more with these then try the MAPLE VI worksheet here.

Please note, each animation is between 180K and 250K, the high resolution animations are much larger: approximately 600K

Normal vibration modes of a circular membrane
J0 J1 J2 J3
1 [circ mode] [circ mode] [circ mode] [circ mode]
[High resolution] [High resolution]
2 [circ mode] [circ mode] [circ mode] [circ mode]
[High resolution]
3 [circ mode] [circ mode] [circ mode] [circ mode]
4 [circ mode] [circ mode] [circ mode] [circ mode]

* References

[1] E Kreyszig
Advanced Engineering Mathematics, Wiley, 6th Ed (1988)

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