Vibration and Buckling Analysis of Functionally Graded Flexoelectric Smart Beam

In this paper, the buckling and vibration behaviour of functionally graded flexoelectric nanobeam is examined. The vibration and buckling formulations of functionally graded nanobeam are developed by using a new theory that’s presented exclusively for flexoelecteric nanomaterials. So by considering VonKarman strain and forming enthalpy equation based on displacement, polarization and electric potential, electromechanical coupling equations are developed base on Hamilton’ principle. By considering boundary condition of simply support and clampedclamped and also EulerBernoulli beam model, prebuckling, buckling and the vibration behavior of functionally graded nanobeam affected by flexoelectric will be investigated.