Parametric vibration analysis of single-walled carbon nanotubes based on Sanders shell theory

Mohamed A. Khadimallah , Muzamal Hussain , Muhammad Taj , Hamdi Ayed , Abdelouahed Tounsi

Abstract

This paper based on Sanders theory aims to investigate the vibration of SWCNTs considering the clamped-simply supported, clamped-free, clamped-clamped and simply supported-simply supported end conditions. After developing the governing equation of the objective system, the Rayleigh-Ritz technique is implemented for the purpose of obtaining the frequency equation in the eigen form. In addition, the applicability of this model for the analysis of vibration of CNTs is examined with the effect of length and ratio of height-to-radius. A detailed description of different types of SWCNTs with different indices is provided in the theoretical methodology. The effect of extended length is stimulated with increasing the radii and the model is effective because it also predicts the effect of thickness on vibration of SWCNTs. For different boundary conditions, the present results are verified with earlier literature.

Key Words

SWCNTs; Sanders theory; boundary conditions; material parameters; vibration analysis

Address

(1) Mohamed A. Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, BP 655, Al-Kharj, 16273, Saudi Arabia
(2) Mohamed A. Khadimallah — Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
(3) Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
(4) Muhammad Taj — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
(5) Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Kingdom of Saudi Arabia
(6) Hamdi Ayed — Higher Institute of Transport and Logistics of Sousse, University Sousse, Tunisia
(7) Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea
(8) Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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