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

  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Asghar, Sehar (Department of Mathematics, Govt. College University Faisalabad) ;
  • Khadimallah, Mohamed Amine (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Ayed, Hamdi (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Banoqitah, Essam Mohammed (Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Loukil, Hassen (Department of Electrical Engineering, College of Engineering, King Khalid University) ;
  • Ali, Imam (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Mahmoud, S.R. (GRC Department, Faculty of Applied studies, King Abdulaziz University) ;
  • Tounsi, Abdelouahed (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2020.06.24
  • Accepted : 2022.06.07
  • Published : 2022.06.25
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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.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Large Groups Project under grant number (RGP.2/155/43).

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