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.