Dear Riccardo,

Maybe I can assist you with your problem.

Could you please tell me more regarding your actuator.

Is it a simple clamp-free beam? Or do you have a mass at the end of the
beam?

Where is the bottom electrode located?

Do you require exact solution or an approximate analytical solution is
enough?

Do you require the Pull-In voltage only or the Pull-In displacement as well?

You may find some help with approximate analytical solutions in the
following reference:

    Pull-in voltage analysis of electrostatically actuated beam structures
with fixed-fixed and fixed-free end conditions
S Pamidighantam, R Puers, K Baert and H A C Tilmans
Journal of Micromechanics and Microenginering Volume 12, Number 4, July 2002


If you would like more accurate finite difference simulations please contact
me.

SHALOM

Ofir




-------Original Message-------

From: [email protected]
Date: iem yliyi 16 ieli 2002 16:41:54
To: [email protected]
Subject: closed-form solution for the pull-in voltage of a cantilever beam

it's possible to get a closed-form solution for the pull-in voltage of a
cantilever beam for every geometry (or however for a wide range of
geometries) (that is, beam length, width, thickness, and gap) and
material properties? or it's necessary to resort to some simplifications
(for example, only small angle bending), that are acceptable only for
some geometries?

I've read the references advised in a previously posted mail about the
pull-in voltage of a cantilever beam, but they don't solve my problem...
Can someone give me an advice and some other references?
Thanks for your kindness,
Riccardo Montagnini
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