Advances in Materials Research

Volume 11, Number 1, 2022, pages 1-22

DOI: 10.12989/amr.2022.11.1.001

A nonlocal integral Timoshenko beam model for free vibration analysis of SWCNTs under thermal environment

Mohamed Liani , Noureddine Moulay , Fouad Bourada , Farouk Yahia Addou , Mohamed Bourada , Abdelouahed Tounsi , Muzamal Hussain

Abstract

In this paper, the nonlocal integral Timoshenko beam model is employed to study the free vibration characteristics of singled walled carbon nanotubes (<i>SWCNTs</i>) including the thermal effect . Based on the nonlocal continuum theory, the governing equations of motion are formulated by considering thermal effect. The influences of small scale parameter, the chirality of <i>SWCNTs</i>, the vibrational mode number, the aspect ratio of <i>SWCNTs</i> and temperature changes on the thermal vibration properties of single-walled nanotubes are examined and discussed. Results indicate significant dependence of natural frequencies on the nonlocal parameter, the temperature change, the aspect ratio and the chirality of <i>SWCNTs</i>. This work should be useful reference for the application and the design of nanoelectronics and nanoelectromechanical devices that make use of the thermal vibration properties of <i>SWCNTs</i>.

Key Words

nonlocal continuum theory; nonlocal integral Timoshenko beam model; singled walled carbon nanotubes (SWCNTs); small-scale effect; thermal effect; vibration characteristics

Address

(1) Mohamed Liani, Noureddine Moulay: Departement de physique, Faculte des Sciences Exactes, Université Djilali Liabès de Sidi Bel Abbès 22000, Algérie; (2) Fouad Bourada, Farouk Yahia Addou, Mohamed Bourada, Abdelouahed Tounsi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; (3) Fouad Bourada: Département des Sciences et de la Technologie, Université de Tissemsilt, BP 38004 Ben Hamouda, Algérie; (4) Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; (5) Muzamal Hussain: Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan.

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