Vibration Analysis of Nanoplate with the Effects of Surface Irregularity and Initial Stresses

Abstract

Based on Kirchhoff plate theory, the vibration behavior of irregular nanoplate with consideration of initial compressive stress effects is investigated. The equations of motion are derived and the closed form solutions for the natural frequency of the nanoplate are obtained. The analytical solutions reveal that, the natural frequency of the nanoplate, are found to be significantly dependent on the irregularity and compressive initial stresses present in the nanoplate. Numerical results show that, the natural frequency of nanoplates increases with increase of surface irregularity and initial stress parameters. To the author best knowledge, the effects of surface irregularity and initial stresses on the vibration behaviour of nanoplates have not yet been studied, and the present work is an attempt to find out this effectiveness. The results of this work is expected to be useful to design and analyze the vibration properties of nanostructures and Devices in NEMS.