Dear colleages,

 I am looking for an analytical solution to calculate the deflection
 and the stress/strain behaviour of a clamped circular/square or
 rectangular membrane. It seems there is no complete analytical
 model for this published (especially in the rectangular case) and
 everybody uses FEM instead.

 I am looking for a plug-in solution able to do the following (yes,
 I am optimistic ..) :

 + any geometry/aspect ratio (rectangular case) can be calculated
 + deflections bigger than membrane thickness are valid
 + deflection and strain/stress values as function of position

 Any hint appreciated. Please ... don't just mention Timoshenko.

 Thanks,

 Werner.
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