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In this study, a nonlinear model of micro arch-beams under the action of electrostatic loadings with an initial air gap is presented. Based on the well-developed 3D beam theory proposed by Yang and Kuo [4], the arch beam is modelled as a series of uniform straight beam elements and the pull-in magnetic force is simulated as an electric-induced force by an electrode lying. Then the nonlinear structural analysis of snap-through and pull-in stability for a simply supported shallow arch subjected to a concentrated electrostatic loading will be investigated. To tackle the path-dependent features of electric forces due to presence of air gaps and nonlinear deformations, this study regards the electric forces as pseudo-forces acting at the arch-beam and solves the structure equations using an incremental-iterative procedure. From the numerical results, the present approach demonstrates that the micro-arch beam has the capacity to withstand further electrostatic loading after the snapthrough jump. Key-Words: Geometric nonlinear analysis, Micro Arch-Beam, Pull-in stability, Received: December 29, 2019. Revised: January 24, 2020. Accepted: February 10, 2020. Published: February 18, 2020.

Geometrical Nonlinear Analysis of Slender Micro Arch-Beams Pulled by Magnetic Loadings