Electromechanical stability analysis of smart double-nanobeam systems

Abstract

In the present article, the electromechanical stability analysis of double-nanobeam-systems (DNBS) under subtangential forces is studied based on Eringen’s nonlocal elasticity theory. The two cantilever nanobeams are assumed parallel and coupled by an enclosing visco-Pasternak medium. Furthermore, each nanobeam is surrounded by two piezoelectric layers and the system resting on Winkler elastic medium. The governing equations of motion and associated boundary conditions are derived by the extended Hamilton’s principle. Applying the extended Galerkin’s approach, the partial differential equations are transformed to ordinary differential equations. The effects of the nonlocal parameter, piezoelectric voltage, aspect ratios and surface effects on the vibration and stability characteristics of the DNBS are explained in detail. It is observed that the critical flutter and divergence loads predicted by the classical continuum theory have more value than the nonlocal continuum theory. In order to validate the accuracy and applicability of the proposed model, the numerical results are confirmed by comparing the results with those obtained in the literature.