Vibrations of a Rectangular Membrane

The two-dimensional wave equation (∂_(t,t))u=(c^2)((∂_(x,x))u+(∂_(y,y))u)  provides a simple model of a vibrating rectangular membrane. You can see the evolution of an initial profile with no initial velocity for a rectangular membrane with no deflection at the boundaries. You can set the superposition of the first four Fourier modes as initial data and you can observe the membrane as time evolves.

THINGS TO TRY

MouseOver ▪ MouseOver ▪ MouseOver

RELATED LINKS

Contributed by: Alain Goriely

© The Wolfram Demonstrations Project & Contributors   |   Terms of Use