%0 Journal Article
%T Pull-in behaviour of a micro switch actuated by the electrostatic under a uniform longitudinal magnetic field based on nonlocal couple stress theory
%J Journal of Computational Applied Mechanics
%I University of Tehran
%Z 2423-6713
%A Mahdavi Adeli, Mohsen
%A Mahmoudi, Rouzbeh
%A Soleimani, Ahmad
%D 2023
%\ 12/01/2023
%V 54
%N 4
%P 577-587
%! Pull-in behaviour of a micro switch actuated by the electrostatic under a uniform longitudinal magnetic field based on nonlocal couple stress theory
%K pull-in
%K micro switch
%K nonlocal couple stress
%K magnetic field
%K Bernoulli-Euler
%R 10.22059/jcamech.2023.364306.862
%X Today the micro electromechanical systems industry is widely developed. This article aims to study static pull-in instability of a clamped micro-switch which is exerted by an electric potential difference in presence of a longitudinal magnetic field. The size dependent nonlocal couple stress theory in framework of Bernoulli-Euler beam hypothesis is utilized to model a clamped micro-switch. The equilibrium equation of micro-beam in micro-switch is derived using the principle of virtual work. To obtain the dimensionless pull-in voltage of micro-switch, the equilibrium equation is solved by Galerkin method. The effect of longitudinal magnetic field and some geometric parameter of micro-beam on the pull-in voltage is studied, taking into account the effects of a set of size dependent factors with and without considering the fringing field. The results from developed model are validated by comparing them with benchmark results.
%U https://jcamech.ut.ac.ir/article_93682_68493db02d943ee022c2432d7ff1f656.pdf