Composite action in connection of single-walled carbon nanotubes: Modeled as Flügge shell theory

Mohamed A. Khadimallah , Imene Harbaoui , Sofiene Helaili , Abdelhakim Benslimane , Humaira Sharif , Muzamal Hussain , Muhammad Nawaz Naeem , Mohamed R. Ali , Aqib Majeed , Abdelouahed Tounsi

Abstract

On the basis of Flügge shell theory, the vibrations of single walled carbon nanotubes (SWCNTs) are investigated. The structure of armchair single walled carbon nanotubes are used here. Influences of length-to-diameter ratios and the two boundary conditions on the natural frequencies of armchair SWCNTs are examined. The Rayleigh-Ritz method is employed to determine eigen frequencies for single walled carbon nanotubes. The solution is obtained using the geometric characteristics and boundary conditions for natural frequencies of SWCNTs. The natural frequencies decrease as ratio of length to diameter increase and the effect of frequencies is less significant and more prominent for long tube. To assess the frequency confirmation carried out in this paper are compared with the earlier computations.

Key Words

armchair SWCNTs; boundary conditions; Flügge shell theory; length-to-diameter ratios; Rayleigh-Ritz method

Address

Mohamed A. Khadimallah — Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia
Imene Harbaoui — Laboratory of Applied Mechanics and Engineering LR-MAI, University Tunis El Manar- -ENIT BP37- Le belvédère, 1002, Tunisia
Sofiene Helaili — (1) Carthage University, Tunisia Polytechnic School, LASMAP (LR03ES06), La Marsa, Tunisia, (2) Carthage University, ISTEUB, Tunis, Tunisia
Abdelhakim Benslimane — Laboratoire de Mécanique Matériaux et Énergétique (L2ME), Département Génie Mécanique, Faculté de Technologie, Université de Bejaia, 06000 Bejaia, Algérie
Humaira Sharif, Muzamal Hussain and Muhammad Nawaz Naeem — Department of Mathematics, Govt. College University Faisalabad, 38000, Faisalabad, Pakistan
Mohamed R. Ali — (1) Faculty of Engineering and Technology, Future University in Egypt New Cairo 11835, Egypt, (2) Basic Engineering Science Department, Benha Faculty of Engineering, Benha University, Benha, Egypt
Aqib Majeed — Department of Mathematics, The University of Faisalabad, Sargodha Road, University Town Faisalabad, 38000, Pakistan
Abdelouahed Tounsi — (1) YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea, (2) Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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