Mechanical Response of a Piezoelectrically Sandwiched Nano-Beam Based on the Non-Local Theory

This article deals with the mechanical analysis of a fixed-fixed nano-beam based on nonlocal elasticity theory. The nano-beam is sandwiched with two piezoelectric layers through it’s upper and lower sides. The electromechanical coupled equations governing the problem are derived based nonlocal theory considering to Euler-Bernoulli beam assumptions and based on the nonlocal piezoelectricity according to the electrostatic Maxwell’s equations. Two piezoelectric voltages are employed to tune the stiffness of the nano-beam. The obtained equations are solved by step by step linearization method and Galerkin’s weighted residual method. The obtained results are compared with the results of the local model, and also the effect of piezoelectric voltages on the non-locality of the model is investigated.