Study of mechanical behavior of circular FGM micro-plates under nonlinear electrostatic and mechanical shock loadings

Abstract

This paper deals with the study of mechanical behavior of a circular functionally graded material (FGM) micro-plate subjected to a nonlinear electrostatic pressure and mechanical shock. It is assumed that the FGM micro-plate is made of metal and ceramic and that material properties are changed continuously along the plate thickness according to a typical function. The nonlinear equation of static deflection and dynamic motion is solved using a step-by-step linearization method and Galerkin-based reduced order model, respectively. In order to find the response of the FGM micro-plate to the electrostatic load and analyze stability of fixed points, static deflection, time history and phase portrait for different applied voltages and initial conditions are illustrated and the effects of different percentages of metal and ceramic constituent on the response of the system are investigated. In addition, effects of mechanical shocks characteristics (amplitudes and durations) on the stability of FGM micro-plate are studied.