Propagation of waves with nonlocal effects for vibration response of armchair double-walled CNTs

Zainab Ali , Mohamed Amine Khadimallah , Muzamal Hussain , Sehar Asghar , Faisal Al-Thobiani , Mohamed Elbahar , Elaloui Elimame , Abdelouahed Tounsi

Abstract

In this paper, vibration characteristics of double-walled carbon nanotubes (CNTs) are studied based upon nonlocal elastic shell theory. The significance of small scale is being perceived by developing nonlocal Love shell model. The wave propagation approach has been utilized to frame the governing equations as eigen value system. The influence of nonlocal parameter subjected to diverse end supports has been overtly analyzed. An appropriate selection of material properties and nonlocal parameter has been considered. The influence of changing mechanical parameter Poisson's ratio has been investigated in detail. It is found that the frequencies decrease as nonlocal parameter increases and for the certain values of nonlocal parameter against range of Poisson ratio rise slowly with length double-walled CNTs. The dominance of boundary conditions via nonlocal parameter is shown 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's ratio; vibration

Address

Zainab Ali, Muzamal Hussain and 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, BP 655, Al-Kharj, 16273, Saudi Arabia/ Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
Faisal Al-Thobiani — Marine Engineering Department, Faculty of Maritime Studie King Abdulaziz University, Jeddah, Saudi Arabia
Elaloui Elimame — Laboratory of materials applications in environment, water and energy LR21ES15, Faculty of sciences, University of Gafsa, Tunisia
Abdelouahed Tounsi — YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

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