Elastic shell model: Effect of Young's Modulus on the vibration of double-walled CNTs

Muzamal Hussain , Sehar Asghar , Mohamed Amine Khadimallah , Hamdi Ayed , Essam Mohammed Banoqitah , Hassen Loukil , Imam Ali , S.R. Mahmoud , Abdelouahed Tounsi

Abstract

In this paper, vibrational attributes of double-walled carbon nanotubes (CNTs) has been studied based upon nonlocal elastic shell theory. The implication of small scale is being perceived by establishing nonlocal Love shell model. The wave propagation approach has been operated to frame the governing equations as eigen value system. The comparison of local and nonlocal model has been overtly explored by means of scaling parameter. An appropriate selection of material properties and nonlocal parameter has been considered. The influence of changing mechanical parameter Young's modulus has been studied in detail. The dominance of end condition via nonlocal parameter is explained graphically. The results generated furnish the evidence regarding applicability of nonlocal shell model and also verified by earlier published literature.

Key Words

double-walled CNTs; Love shell theory; nonlocal parameter; Poisson

Address

Muzamal Hussain, Sehar Asghar — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Mohamed Amine Khadimallah — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia
Hamdi Ayed — Department of Civil Engineering, College of Engineering, King Khalid University, Abha, Kingdom of Saudi Arabia; Higher Institute of Transport and Logistics of Sousse, University Sousse, Tunisia
Essam Mohammed Banoqitah — Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah P.O. Box 80204, Jeddah 21589, Saudi Arabia
Hassen Loukil — Department of Electrical Engineering, College of Engineering, King Khalid University, Abha, 61421, Saudi Arabia
Imam Ali — Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department, Al-Kharj, 16273, Saudi Arabia
S.R. Mahmoud — GRC Department, Faculty of Applied studies, King Abdulaziz University, Jeddah, Saudi Arabia
Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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