Effect of dimensionless nonlocal parameter: Vibration of double-walled CNTs

Muzamal Hussain , Sehar Asghar , Mohamed Amine Khadimallah , Hamdi Ayed , Sami Alghamdi , Javed Khan Bhutto , S.R. Mahmoud , Abdelouahed Tounsi

Abstract

In this paper, frequency vibrations of double-walled carbon nanotubes (CNTs) has been investigated based upon nonlocal elastic theory. The inference 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. An innovational nonlocal model to examine the scale effect on vibrational behavior of armchair, zigzag and chiral of double-walled CNTs. An appropriate selection of material properties and nonlocal parameter has been considered. The influence of dimensionless nonlocal parameter 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

dimensionless nonlocal parameter, double-walled CNTs, Love shell theory, vibration

Address

Muzamal Hussain, Sehar Asghar — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Mohamed Amine Khadimallah — Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, 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
Sami Alghamdi — Electrical and Computer Engineering Department, King Abdulaziz University, Jeddah, Saudi Arabia; 2 Center of Nanotechnology, King Abdulaziz University, Jeddah, Saudi Arabia
Javed Khan Bhutto — Electrical Engineering Department, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
S.R. Mahmoud — GRC Department, Faculty of Applied Studies, King Abdulaziz University, Jeddah, Saudi Arabia
Abdelouahed Tounsi — FL (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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