Small scale computational vibration of double-walled CNTs: Estimation of nonlocal shell model

Sehar Asghar , Mohamed Amine Khadimallah , Muhammad N. Naeem , Madiha Ghamkhar , Khaled Mohamed Khedher , Muzamal Hussain , Souhail Mohamed Bouzgarrou , Zainab Ali , Zafar Iqbal , S.R. Mahmoud , Ali Algarni , Muhammad Taj , Abdelouahed Tounsi

Abstract

In this paper, vibration characteristics of double-walled carbon nanotubes (CNTs) is 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. 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

vibration; nonlocal parameter; Poisson

Address

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, 11942, Saudi Arabia; Laboratory of Systems and Applied Mechanics, Polytechnic School of Tunisia, University of Carthage, Tunis, Tunisia
Muhammad N. Naeem — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Madiha Ghamkhar — Mathematics and Statistics Department, University of Agriculture, Faislabad, Pakistan
Khaled Mohamed Khedher — Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia; Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, Tunisia
Muzamal Hussain — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Souhail Mohamed Bouzgarrou — Civil Engineering Department, Faculty of Engineering, Jazan University, Kingdom of Saudi Arabia
Zainab Ali — Department of Mathematics, Govt. College University Faisalabad, 38040, Faisalabad, Pakistan
Zafar Iqbal — Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan; Department of Mathematics, University of Mianwali, Punjab, Pakistan
S.R. Mahmoud — GRC Department, Faculty of Applied studies, King Abdulaziz University, Jeddah, Saudi Arabia
Ali Algarni — Statistics Department, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Muhammad Taj — Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, 1300, Azad Kashmir, Pakistan
Abdelouahed Tounsi — Materials and Hydrology Laboratory University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia

PDF Viewer

Preview is limited to the first 3 pages. Sign in to access the full PDF.

← Back to Volume 10, No. 4