Simulating the membrane

Has anyone simulated the behaviour of a membrane with for example finite element analysis?

I like to do so. Any software packages out there (preferable open source) that can do the job? Or do I have to write my own?

The equivalent air mass being added to membrane mass being significant, you will need 3D finite element analysis. Which makes it more complex.

I have started a more simple approach, a simple excel sheet, with this unique target: compute the resonance frequency.