Influence of surface energy on the non-linear pull-in instability of nano-switches

A general model for nano-cantilever switches with consideration of surface effects and nonlinear curvature

“…For a switch with a relatively large gap-length ratio, the effect of geometric nonlinearity on the pull-in instability is significant [3][4][5][6][7][8][9][10][11], and must be taken into consideration. Generally, the geometric nonlinearity can be divided into two parties.…”

“…The other one is nonlinear Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/physe curvature. Many researchers have investigated the effect of geometrically nonlinear strain on the pull-in instability of switches [3][4][5][6][7][8][9][10][11]. For examples, Jia et al [4,5] studied the pull-in instability and free vibration of micro-switches with considering geometrically nonlinear strain.…”

“…For cantilever beams, the effect of nonlinear strain (von Kár-mán type of geometrically nonlinear strain) on their mechanical responses is insignificant and can be neglected [4,5,9]. However, the effect of geometrically nonlinear curvature on the mechanical behavior of cantilever beams is significant [12,13].…”

Surface effect on the large amplitude periodic forced vibration of first-order shear deformable rectangular nanoplates with various edge supports

“…Based on the Kirchhoff plate theory, Hasheminejad and Gheshlaghi [37] adopted a dissipative surface stress model to illustrate the surface dissipation effect on the quality factor and natural frequencies of elastic nanofilms. Utilizing a nonclassical geometrically nonlinear beam model on the basis of the Euler-Bernoulli theory, Wang and Wang [38] performed a study on the non-linear pull-in instability of nano-switches and discovered that surface energy effects on the pull-in voltage depends on the geometric parameters such as length, height and initial gap of the nanoswitch. Ansari et al [39] examined the surface effects on the free vibration characteristics of circular nanoplates in the vicinity of postbuckling domain based on a newly developed nonlinear circular Mindlin nanoplate model and numerical solution procedure.…”

The Small Scale Effect on the Dynamic Behavior of Cantilever and Fixed-Fixed Nano-Switches

“…T. Mousavi, S. Bornassi and H. Haddadpour [11] had dealt with the pull-in behaviors of nano-switches using Eringen's nonlocal elasticity theory. Through differential quadrature method, K. F. Wang and B. L. Wang [12] investigated the pull-in instability of a nano-switch under electrostatic and intermolecular Casimir forces.…”