PARAMETRIC OSCILLATIONS OF A MEMBRANE IN AN ALTERNATING ELECTRIC-FIELD

Axisymmetric oscillations of a circular conducting elastic membrane pl aced between the grounded plates of a capacitor and subjected to the a ction of an alternating voltage are investigated. Approximate expressi ons are obtained in the quasistationary approximation of the equations of electrodynamics for the potential of the electric field between th e plates and a self-consistent integro-partial differential equation i n the oscillations of the membrane. A solution of the corresponding bo undary-value problem is constructed and a qualitative analysis of the parametrically excited oscillations is carried out. The conditions for stability and instability of the natural oscillations of different mo des are obtained in terms of the electromechanical parameters.