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

  • Ali, Zainab (Department of Mathematics, Govt. College University Faisalabad) ;
  • Khadimallah, Mohamed Amine (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Asghar, Sehar (Department of Mathematics, Govt. College University Faisalabad) ;
  • Al-Thobiani, Faisal (Marine Engineering Department, Faculty of Maritime Studie King Abdulaziz University) ;
  • Elbahar, Mohamed (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Elimame, Elaloui (Laboratory of materials applications in environment, water and energy LR21ES15, Faculty of sciences, University of Gafsa) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2021.02.26
  • Accepted : 2021.07.06
  • Published : 2021.08.25
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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.

Keywords

Acknowledgement

This project was supported by the Deanship of Scientific Research at Prince Sattam Bin Abdulaziz University under the research project No 16794/01/2020

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