pull-in behaviors of micro-beam made of bidirectional functionally grade materials based on modified couple stress theory

In this paper, pull-in behavior of cantilever micro/nano beams made of bi directional functionally graded materials (bdfgm) with small scale effects under electrostatic force is investigated. couple stress theory is employed to study the influence of small-scale on pull-in behavior. the material properties except poisson’s ratio obey the arbitrary function in the thickness and length direction. the approximate analytical solutions for the pull-in voltage and pull-in displacement of the microbeams are derived using the galerkin method. comparison between the results of present work with other article for pull-in behavior of a microbeams made of isotropic material reveals the accuracy of this study. numerical results explored the effects of material length scale parameter, inhomogeneity constant, gap distance and dimensionless thickness.