Simulations can offer a valuable way to analyze the motion of waves on two-dimensional membranes. 

 

• Falstad offers interactive simulators for waves on rectangular and circular membranes, with adjustable frequency and damping.

Rectangular: http://www.falstad.com/membrane/

Circular: http://www.falstad.com/circosc/

 

•  Dan Russell of Penn State has created animations to show vibrational modes of both rectangular and circular membranes, with mathematical discussion.

Rectangular: http://www.acs.psu.edu/drussell/Demos/rect-membrane/rect-mem.html

Circular: http://www.acs.psu.edu/drussell/Demos/rect-membrane/rect-mem.html

 

• Russell also offers this comparison of 2D membranes and strings

https://www.acs.psu.edu/drussell/Demos/Membrane-vs-String/Membrane-vs-String.html