Werner,

I can offer you partial help.  The following paper will give you everything
that you need for the circular case...

Sheplak, M. and Dugundji, J., ``Large Deflections of Clamped Circular Plates
Under Tension and Transitions to Membrane Behavior,''  J. Appl. Mech., Vol.
65, No. 1, 107-115, 1998.

We developed this model to aid in the design of a piezoresistive microphone.
It proved to be very accurate for our application. I hope that this is
helpful to you.  If you have any questions please contact me.

Regards,

Mark

**********************************************
Mark Sheplak
Department of Aerospace Engineering,
Mechanics, & Engineering Science
227 Engineering Building
PO Box 116250
University of Florida
Gainesville, FL 32611-6250
(352) 392-3983
(352) 392-7303 FAX
[email protected]
**********************************************
-----Original Message-----
From: WJ Karl 
To: [email protected] 
Date: Saturday, August 01, 1998 8:05 PM
Subject: Membrane deflection


> 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.
>  <<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
> W  J   K  A  R  L
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