Abstract: This study investigates the free vibration behavior of nanocomposite beams reinforced with agglomerated single-walled carbon nanotubes (SWCNTs) embedded in an epoxy matrix. The effective material properties of the reinforced composite are estimated using the Weng model, and the equation of motion for the beam is derived based on Euler-Bernoulli beam theory. A MATLAB code is developed to determine the natural frequencies and eigenmodes of the nanocomposite beams. The results demonstrate that the elastic modulus of the agglomerated CNT composite increases with the increasing volume fraction of CNTs, leading to an increase in natural frequencies.

Keywords: Free Vibration, Beam, Carbon, Nanotubes, Composite, Single-Walled.