About Synchronisation of MEMS
Résumé
The stabilization of motions of MEMs is a difficult and important problem for the users because of the many nonlinearities of the system and the advantage for the structure to work close to resonance for a better electro-mechanical coupling. In this paper, we investigate the synchronized motion of a one degree of freedom model of MEMs taking into account the nonlinear effect of the electric force. By using the theory of synchronization with $μ = δ V/V_e$ as small parameter, we propose a procedure to ensure the synchronized motion close to resonance and to investigate its asymptotic stability. To our knowledge, this problem has never been investigated.