Free vibration to a system of cantilever nanobeams

Abstract

This paper presents a solution to the free vibration problem of a system of two cantilever nanobeams. The nanobeams of the system are axially loaded and coupled by discrete translational springs. The solution of the problem by using the Green's function method has been obtained. A numerical example shows the effect of the small scale on free vibration frequencies of the nanobeam system considered.