Nonlinear dynamics of SWNT reinforced Aluminium alloy beam

Abdellatif Selmi and Samy Antit

Abstract

The main objective of the present paper is to investigate the nonlinear vibration of buckled beams fixed at both ends and made of Aluminium allay (Al-alloy) reinforced with randomly dispersed Single Walled Carbon Nanotube (SWNT). The Mori-Tanak (M-T) micromechanical approach is selected to predict the homogenized material properties of the beams. The differential equation of motion governing the nonlinear behavior of the Euler-Bernoulli homogeneous beam is solved using an analytical method. The influences of diverse parameters including axial load, vibration amplitude, SWNT volume fraction, SWNT aspect ratio and beam slenderness ratio on the nonlinear frequency are studied.

Key Words

aluminium alloy; analytical solution; nonlinear dynamics; SWNT

Address

Abdellatif Selmi:1)Department of Civil Engineering, College of Engineering, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia 2)Ecole Nationale d'Ingenieurs de Tunis (ENIT), Civil Engineering Laboratory. B.P. 37, Le belvedere 1002, Tunis, Tunsia Samy Antit:Ecole Nationale d'Ingenieurs de Tunis (ENIT), Civil Engineering Laboratory. B.P. 37, Le belvedere 1002, Tunis, Tunsia

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