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Solve the unsteady vibrations of the membrane on a circular drum.
The membrane displacement satisfies the wave equation
The boundary condition at the edge is
For initial condition, assume that the membrane is struck at
the point r=0.5 and . In other words assume that
and that is a delta
function at r=0.5 and , so that
for any function .
What frequencies will be present in the vibrations, and with
what relative strength?
Author: Leon van Dommelen