Studying the effects of small scale and Casimir force on the non-linear pull-in instability and vibrations of FGM microswitches under electrostatic actuation

摘要: Abstract The size-dependent non-linear pull-in instability and free vibration of electrostatically actuated microswitches with the consideration Casimir force effect are studied using a numerical solution approach. To this end, non-classical beam model is developed based on Mindlin׳s strain gradient elasticity Timoshenko theory. geometric non-linearity taken into account according to von Karman hypothesis. Also, assumed be made functionally graded materials (FGMs). obtain governing equations boundary conditions, virtual work principle applied. presented can simply reduced those basis modified versions couple stress theories (MSGT MCST) as well classical For solving problem, generalized differential quadrature (GDQ) method pseudo arc-length continuation technique employed. In results, influences different parameters such length scale parameter, force, material index geometrical properties examined.