Investigation of Size-Dependent Vibration Behavior of Piezoelectric Composite Nanobeams Embedded in an Elastic Foundation Considering Flexoelectricity Effects

This article investigates the size dependent on piezoelectrically layered perforated nanobeams embedded in an elastic foundation considering material Poisson’s ratio and flexoelectricity effects. The composite beam is composed of a regularly squared cut-out core with two piezoelectric face sheet layers. An analytical geometrical model adopted to obtain equivalent variables core. To capture effect, three-dimensional continuum mechanics express kinematics are kinetics relations framework Euler–Bernoulli theory (EBBT). nonlocal strain gradient utilized incorporate size-dependent electromechanical Hamilton principle applied derive nonclassical dynamic equation motion impact. A closed form solution for resonant frequencies obtained. Numerical results explored impacts characteristics behavior nanobeams. Obtained revealed significant effects mechanical, electrical, parameters developed procedure obtained helpful many industrial purposes engineering applications, such as micro/nano-electromechanical systems (MEMS) NEMS.