For circular shapes...Isn't is a classic bessel function?

Nicely treated in Loudspeaker design books of the
pre-FEM days. Mclachlan not Timoshenko!!

Peter Will

At 05:06 PM 7/30/98 +0100, WJ Karl wrote:
> 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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