Free vibration responses of nonlinear FG-CNT distribution in a polymer matrix

Rachid Zerrouki, Ahmed Hamidi, Youcef Tlidji, Abdelkader Karas, Mohamed Zidour and Abdelouahed Tounsi

Abstract

The object of this paper is to investigate the free vibration behavior under the effect of carbon nanotube distribution in functionally graded carbon nanotube-reinforced composite (FG-CNTRC) by using higher-order shear deformation theories. In this work, we present a novel distribution method for carbon nanotubes in the polymer matrix by using a new exponential power law distribution of carbon nanotube volume fraction. It is assumed that the SWCNTs are aligned along the beam axial direction and the distribution of the SWCNTs may vary through the thickness of the beam with different patterns of reinforcement. The rule of mixtures is used in order to obtain material properties of the CNTRC beams. Hamilton's principle is used in deriving the equations of motion. The validity of the free Vibration results is examined by comparing them with those of the known data in the literature. The results that obtained indicate that the carbon nanotube volume fraction distribution play a very important role on the free vibrations characteristics of the CNTRC beam.

Key Words

beam; free vibration; nanotube; nonlinear distribution; shear deformation; volume fraction

Address

(1) Abdelkader Karas: Fac. Applied Sciences, Synthesis and Catalysis Laboratory LSCT, University of Tiaret, Algeria; (2) Youcef Tlidji, Abdelkader Karas, Mohamed Zidour: University of Tiaret, BP 78 Zaaroura, 14000 Tiaret, Algeria; (3) Rachid Zerrouki, Mohamed Zidour: Laboratory of Geomatics and Sustainable Development, University of Tiaret, Algeria; (4) Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; (5) Ahmed Hamidi: Civil Engineering and Hydraulic Department, Faculty Technology, University of Bechar, Algeria; (6) Youcef Tlidji: Materials and Structures Laboratory, University of Tiaret, Faculty of Applied Sciences, Civil Engineering Department, Algeria.

← Back to Volume 30, No. 2