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 (SWCNTs) 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 SWCNTs, the vibrational mode number, the aspect ratio of SWCNTs 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 SWCNTs. 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 SWCNTs.

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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