Nonlinear Behavior of Single Walled Carbon Nanotube Reinforced Aluminium Alloy Beam

Abstract

This paper aims to analyze the nonlinear vibration of clamped-clamped buckled beams made of Aluminium alloy (Al-alloy) reinforced with uniformly dispersed Single Walled Carbon Nanotube (SWNT). The mean field homogenization technique is used to predict the effective material properties of the beams. The equation of motion governing the nonlinear behavior is solved using an exact method. The effects of various parameters including axial load, vibration amplitude, SWNT volume fraction, SWNT aspect ratio and beam slenderness ratio on the nonlinear frequency and on the phase trajectory plots for pre- and post-buckling states are studied.