Vibration Analysis of Nano-Plate Using Nonlocal Elasticity

Abstract

In last decade, nanoplates were used in various types of industries such as electronics, aircraft, satellite. Gas sensors and flexible electronics are other potential applications. Graphene nano-plate is a transparent conductor it can be used in applications such as touch screens, light panels and solar cells. New types of composite materials based on graphene nano-plate with high strength and light weight could also become interesting for use in aircraft and satellites. These types of the structure are under the different type of loading such as electric loading, aerodynamic loading. Due to these loadings, there will be a vibrations occurs which affects the performance and working life of the nano-plate panel. The fundamental frequency/first mode of vibration is always associated with maximum amplitude and it produces large compression and/or tension which lead to breakdown of the structural component. Therefore, the vibration analysis of nano-plate becomes significant. In this work, the free vibration behavior of the nano-plate is analyzed using nonlocal elasticity theory. The model has been developed using higher order shear deformation theory and discretised through suitable finite element steps. The responses are computed numerically through a customized computer code developed in MATLAB environment. The effect of aspect ratio, size and nonlocal on the frequency response is analyzed in detail.