Advances in nano research

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Impacts of surface irregularity on vibration analysis of single-walled carbon nanotubes based on Donnell thin shell theory

  • Selim, Mahmoud M. (Department of Mathematics, Al-Aflaj College of Sciences and Humanities, Prince Sattam bin Abdulaziz University) ;
  • Althobaiti, Saad (Department of Sciences and Technology, Ranyah University Collage, Taif University) ;
  • Yahia, I.S. (Laboratory of Nano-Smart Materials for Science and Technology (LNSMST), Department of Physics, Faculty of Science, King Khalid University) ;
  • Mohammed, Ibtisam M.O. (Department of Mathematics, Al_ukhwa College of science and Art, Al-Baha University) ;
  • Hussin, Amira M. (Department of Mathematics, Al-Aflaj College of Sciences and Humanities, Prince Sattam bin Abdulaziz University) ;
  • Mohamed, Abdel-Baset A. (Department of Mathematics, Al-Aflaj College of Sciences and Humanities, Prince Sattam bin Abdulaziz University)
  • Received : 2020.06.30
  • Accepted : 2022.02.21
  • Published : 2022.05.25
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Abstract

The present work is an attempt to study the vibration analysis of the single-walled carbon nanotubes (SWCNTs) under the effect of the surface irregularity using Donnell's model. The surface irregularity represented by the parabolic form. According to Donnell's model and three-dimensional elasticity theory, a novel governing equations and its solution are derived and matched with the case of no irregularity effects. To understand the reaction of the nanotube to the irregularity effects in terms of natural frequency, the numerical calculations are done. The results obtained could provide a better representation of the vibration behavior of an irregular single-walled carbon nanotube, where the aspect ratio (L/d) and surface irregularity all have a significant impact on the natural frequency of vibrating SWCNTs. Furthermore, the findings of surface irregularity effects on vibration SWCNT can be utilized to forecast and prevent the phenomena of resonance of single-walled carbon nanotubes.

Keywords

Acknowledgement

This research is supported by Taif University Researchers Supporting Project number (TURSP-2020/305), Taif University, Taif, Saudi Arabia. Also, the authors express their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through a research group program under grant number R.G.P.2/112/41. The authors express their appreciation to the Deputyship for Research & Innovation, Ministry of Education, in Saudi Arabia, for funding this research work through the project number: (IFP-KKU-2020/10).

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