Vibration and Buckling Analysis of Piezoelectric Nanowires Based on Surface Energy Density

Abstract

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.