Computers and Concrete

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Service ability design of vibrating chiral SWCNTs: Validation and parametric study

  • Muzamal Hussain (Department of Mathematics, Govt. College University Faisalabad) ;
  • Mohamed R. Ali (Faculty of Engineering and Technology, Future University in Egypt New Cairo) ;
  • Abdelhakim Benslimane (Laboratoire de Mecanique Materiaux et Energetique (L2ME), Departement Genie Mecanique, Faculte de Technologie, Universite de Bejaia) ;
  • Humaira Sharif (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) ;
  • Muhammad Nawaz Naeem (Department of Mathematics, Govt. College University Faisalabad) ;
  • Imene Harbaoui (Department of Chemical Engineering, College of Engineering, King Khalid University) ;
  • Sofiene Helaili (Carthage University, Tunisia Polytechnic School, LASMAP (LR03ES06)) ;
  • Aqib Majeed (Department of Mathematics, The University of Faisalabad, Sargodha Road, University Town Faisalabad) ;
  • Abdelouahed Tounsi (YFL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2023.05.07
  • Accepted : 2023.06.12
  • Published : 2023.10.25
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Abstract

This paper provides the free vibrations of chiral carbon nanotubes. The governing equations of Flügge theory is considered for vibration frequencies of chiral single walled carbon nanotubes. The solution of frequency equation is obtained from a novel model for better representation of stubby and short vibration characteristics of chiral tubes with clamped-clamped and clamped-simply supported end conditions. For the harmonic response of this tube, the model displacement function is adopted. The variational approach Rayleigh-Ritz method with kinetic and strain energies are used. The Lagragian function is differentiated with respect to unknown functions. The frequency equation is written in compact form to solve with MATLAB software. The frequencies of chiral SWCNTs for first ten aspect ratios as small level are investigated. The results shown as for decreasing the aspect rations, the frequencies are increases. The presented results of this model are verified with experimental and numerical results, which found as an excellent agreement.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program under grant number R.G.P. 2/34/44.

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