Sharif University of Technology Scientia Iranica 1026-3098 25 4 2018 08 01 The effect of radial force on pull-in instability and frequency of rigid core circular and annular plates subjected to electrostatic field 2111 2129 4344 10.24200/sci.2017.4344 EN Masoumeh Khorshidi Paji - Morteza Dardel Department of Mechanical Engineering, Babol Noshirvani University of Technology, P.O. Box 484, Postal Code: 47148-71167, Shariati Street, Babol, Mazandaran, Iran Mohammad Hadi Pashaei - Reza Akbari Alashti - Journal Article 2016 08 22 In this work static pull-in instability and frequency analysis of circular and annular plates in electrical field was studied. The plate is modeled based on classical plate theory with nonlinear Von Kármán strain-displacement field. The governing equation of motion and boundary conditions were obtained using Hamilton principle. For this purpose potential and kinetic energies and the work done by radial and electrostatic force are obtained. Governing partial differential equations were reduced to ordinary differential equations by Galerkin's method. Then, static pull-in instabilities of clamped circular plate and annular plate with clamped-clamped and clamped-simply boundary conditions were analyzed by arc-length continuation method. The effect of rigid core, radial load, geometric nonlinearity, inner radius and boundary conditions on pull-in instability and frequency of the plate has been studied. https://scientiairanica.sharif.edu/article_4344_8240cab1eb00edbc39c208715efc636a.pdf