Consider the circular membrane shown below,

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*

J0 | J1 | J2 | J3 | |

1 | ||||

[High resolution] | [High resolution] | |||

2 | ||||

[High resolution] | ||||

3 | ||||

4 |

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

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