The effect of radial force on pull-in instability and frequency of rigid core circular and annular plates subjected to electrostatic field

This study investigates static pull-in instability and frequency analysis of circular and annular plates in electrical field. The plate is modelled based on the classical plate theory with nonlinear Von Karman strain-displacement field. The governing equation of motion and boundary conditions were obtained using the Hamilton principle. For this purpose, potential and kinetic energies and the results achieved through radial and electrostatic forces were obtained. Governing partial differential equations were reduced to ordinary differential equations by Galerkin s method. Then, static pull-in instabilities of clamped circular and annular plates with clamped-clamped and clamped-simply supported boundary conditions were analyzed by the arc-length continuation method. The effects of rigid core, radial load, geometric nonlinearity, inner radius, and boundary conditions on pull-in instability and frequency of the plate were studied.