Computers and Concrete

Techno-Press (테크노프레스)
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Validity assessment of aspect ratios based on Timoshenko-beam model: Structural design

  • Emad, Ghandourah (Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Muzamal, Hussain (Department of Mathematics, Govt. College University Faisalabad) ;
  • Mohamed A., Khadimallah (Department of Civil Engineering, College of Engineering in Al-Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Mashhour, Alazwari (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Mohamed R., Ali (Faculty of Engineering and Technology, Future University in Egypt New Cairo) ;
  • Mohammed A., Hefni (Mining Engineering Department, Faculty of Engineering, King Abdulaziz University)
  • Received : 2022.07.29
  • Accepted : 2022.11.01
  • Published : 2023.01.25
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Abstract

In this paper, Timoshenko-beam model is developed for the vibration of double carbon nanotubes. The resulting frequencies are gained for axial wave mode and length-to-diameter ratios. The natural frequency becomes more prominent for lower length-to-diameter ratios and diminished for higher ratios. The converse behavior is observed for axial wave mode with clamped-clamped and clamped-free boundary conditions. The frequencies of clamped-free are lower than that of clamped-clamped boundary condition. The eigen solution is obtained to extract the frequencies of double walled carbon nanotubes using Galerkin's method through axial deformation function. Computer softer MATLAB is used for formation of frequency values. The frequency data is compared with available literature and found to be in agreement.

Keywords

Acknowledgement

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, under Grant No. (G: 550-135-1439). The authors, therefore, gratefully acknowledge the DSR for their technical and financial support.

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