Bending, free vibration and buckling analyses of AFG flexoelectric nanobeams based on the strain gradient theory

In this article, on the basis of Bernoulli-Euler beam theory, an axially functional gradient (AFG) flexoelectric nanobeam model incorporating strain gradient elasticity effect is established. By utilizing the Hamilton principle, the governing equations and associated boundary conditions are obtained. The generalized differential quadrature method (GDQM) is utilized to solve the governing equations and derive static deflections, vibration frequencies and buckling loads. The parametric studies capture the influences of flexoelectricity, strain gradient effect and material inhomogeneous distribution on mechanical properties. Thus, this article is hopeful to provide some useful guidelines for the application of AFG flexoelectric nanobeam in nanoelectromechanical system.

Automated summary

In this article, a axially functional gradient (AFG) flexoelectric nanobeam model incorporating strain gradient elasticity effect is established based on Bernoulli-Euler beam theory. The governing equations and associated boundary conditions are obtained using Hamilton principle. The generalized differential quadrature method (GDQM) is used to solve the governing equations and obtain static deflections, vibration frequencies and buckling loads. The parametric studies investigate the influences of flexoelectricity, strain gradient effect and material inhomogeneous distribution on mechanical properties.