We investigate the symmetry of solutions to the small aspect ratio approximate model of electrostatic actuation. We find that for an annular shaped domain asymmetric solutions may occur.
Perhaps the most ubiquitous phenomena associated with electrostatically actuated MEMS devices is the "pull-in" voltage instability. In this instability, when applied voltages are increased beyond a certain critical voltage there is no longer a steady-state [...]
We perform a rigorous mathematical analysis of a simple membrane based model of an electrostatiacallyh actuated MEMS device. Using both analytical and numerical techniques, we prove the existence of a fold in the solution space [...]