Advances in nano research

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Closed form interaction for safety assessment of DWCNTs: Mechanical vibration

  • Muzamal Hussain (Department of Mathematics, University of Sahiwal) ;
  • Mohamed A. Khadimallah (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Hamdi Ayed (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Emad Ghandourah (Department of Nuclear Engineering, Faculty of Engineering, King Abdulaziz University) ;
  • Abir Mouldi (Department of Industrial Engineering, College of Engineering, King Khalid University) ;
  • Abdelouahed Tounsi (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2022.03.01
  • Accepted : 2024.09.05
  • Published : 2024.10.25
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Abstract

Here, vibration of double walled carbon nanotubes is evaluated using Euler-Bernoulli beam model. These tubes are placed on Winkler elastic foundation. A simple Galerkin's approach is presented to solve the tube governing equations and for extracting of vibration eigen-frequencies of double walled carbon nanotubes. The procedure is easy for computer programming with various combinations of boundary conditions. The frequency influence is observed with different parameters. Effects of Winkler foundation versus frequencies with varying lengths is examined for a number of boundary conditions. It is noticed that the frequencies are lower for higher length on increasing the Winkler foundation. The frequencies of clamped-clamped are higher than that of clamped simply supported end condition. The obtained results are compared with some experimental ones.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Research and Graduate Studies at King Khalid University for funding this work through Large Research Project under grant number RGP2/210/45.

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