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Nonlocal vibration of DWCNTs based on Flügge shell model using wave propagation approach

  • Asghar, Sehar (Department of Mathematics, Govt. College University Faisalabad) ;
  • Naeem, Muhammad N. (Department of Mathematics, Govt. College University Faisalabad) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Tounsi, Abdelouahed (Faculty of Technology Civil Engineering Department, Materials and Hydrology Laboratory University of Sidi Bel Abbes)
  • Received : 2019.08.01
  • Accepted : 2019.10.19
  • Published : 2020.02.25
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Abstract

In this article, free vibration attributes of double-walled carbon nanotubes based on nonlocal elastic shell model have been investigated. For this purpose, a nonlocal Flügge shell model is established to observe the small scale effect. The wave propagation is employed to frame the governing equations as eigenvalue system. The influence of nonlocal parameter subjected to different end supports has been overtly examined. A suitable choice of material properties and nonlocal parameter been focused to analyze the vibration characteristics. The new set of inner and outer tubes radii investigated in detail against aspect ratio and length. 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

The author(s) received no financial support for the research, authorship, and/or publication of this article.

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