2D Fourier Series Hybrid modes of a Rectangular Membrane.

Cuthbert Nyack
It can be difficult to get membranes to vibrate in normal modes. more realistically they vibrate in combination modes which can be represented as combinations of normal modes using the 2D Fourier Series. One possibility is hybrid modes which are illustrated by the following equation.
The applet below show some hybrid modes.

gif images below show some of the possibilities.

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COPYRIGHT © 2007 Cuthbert A. Nyack.