Structural Engineering and Mechanics

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Direct strength measurement of Timoshenko-beam model: Vibration analysis of double walled carbon nanotubes

  • Ghandourah, Emad (Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Thobiani, Faisal Al (Marine Engineering Department, Faculty of Maritime Studies, King Abdulaziz University) ;
  • Hefni, Mohammed (Mining Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Alghamdi, Sami (Electrical and Computer Engineering Department, King Abdulaziz University)
  • Received : 2021.06.26
  • Accepted : 2022.08.27
  • Published : 2022.10.10
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Abstract

In the last ten years, many researchers have studied the vibrations of carbon nanotubes using different beam theories. The nano- and micro-scale systems have wavy shape and there is a demand for a powerful tool to mathematically model waviness of those systems. In accordance with the above mentioned lack for the modeling of the waviness of the curved tiny structure, a novel approach is employed by implementing the Timoshenko-beam model. Owing to the small size of the micro beam, these structures are very appropriate for designing small instruments. The vibrations of double walled carbon nanotubes (DWCNTs) are developed using the Timoshenko-beam model in conjunction with the wave propagation approach under support conditions to calculate the fundamental frequencies of DWCNTs. The frequency influence is observed with different parameters. Vibrations of the double walled carbon nanotubes are investigated in order to find their vibrational modes with frequencies. The aspect ratios and half axial wave mode with small length are investigated. It is calculated that these frequencies and ratios are dependent upon the length scale and aspect ratio.

Keywords

Acknowledgement

"The authors extend their appreciation to the Deputyship for Research and Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number IFPIP-839-135-1442" at King Abdulaziz University, DSR, Jeddah, Saudi Arabia.

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