MECHANICAL BEHAVIOR OF PIEZOELECTRIC NANOBEAM WITH FLEXOELECTRICITY BASED ON NONLOCAL THEORY

Considering the nonlocal theory and the flexoelectric effect combined with Euler-Bemoulli beam model, Hamilton principle is generally used for deriving the governing equation, then the corresponding analytical solution of the deflection is solved, and the differential quadrature method can be applied effectively here to deduce the dimensionless natural frequency of vibration. The static and dynamic responses of piezoelectric nanobeams which taking the flexoelectric effect into account are studied. The conclusions present that how deflection, dimensionless natural frequency and axial motion stability vary as a function of flexoelectric effect, nonlocal parameter, piezoelectric effect, temperature, voltage and axial velocity.