Abstract

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.

摘要

本文基于伯努利-欧拉束理论，建立了一种结合应变梯度弹性效应的轴向泛函梯度（AFG）柔性电纳米束模型。通过利用哈密顿原理，获得了控制方程和相关的边界条件。广义微分求积法 (GDQM) 用于求解控制方程并导出静态挠度、振动频率和屈曲载荷。参数研究捕捉了挠曲电、应变梯度效应和材料不均匀分布对机械性能的影响。因此，本文希望为AFG柔性电纳米束在纳米机电系统中的应用提供一些有益的指导。