In this paper, the influences of surface effects on free transverse vibration and buckling of piezoelectric nanowires are investigated by surface energy density elasticity theory. Analytical relations are given for the natural frequencies of nanowires by taking into account the effects of surface energy density and surface relaxation parameter. By implementing this theory with consideration of surface effects under clamped–clamped boundary conditions, the natural frequencies of nanowires are calculated. It is shown that the natural frequency depends on both the surface effects and piezoelectricity. A closed-form solution is also obtained to calculate the critical buckling voltage. This study is expected to provide useful insights for the design of piezoelectric nanowire-based nanodevices.

本文利用表面能密度弹性理论研究了表面效应对压电纳米线自由横向振动和屈曲的影响。通过考虑表面能密度和表面弛豫参数的影响，给出了纳米线固有频率的解析关系。通过在考虑夹钳边界条件下的表面效应的情况下实施该理论，可以计算出纳米线的固有频率。结果表明，固有频率取决于表面效应和压电性。还获得了一种封闭形式的解来计算临界屈曲电压。该研究有望为基于压电纳米线的纳米器件的设计提供有用的见识。