Computers and Concrete

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Non-local orthotropic elastic shell model for vibration analysis of protein microtubules

  • Taj, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Majeed, Afnan (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Naeem, Muhammad N. (Department of Mathematics, Govt. College University Faisalabad) ;
  • Safeer, Muhammad (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Ahmad, Manzoor (Department of Mathematics, University of Azad Jammu and Kashmir) ;
  • Khan, Hidayat Ullah (Department of Mathematics, University of Malakand at Chakdara) ;
  • Tounsi, Abdelouahed (Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Algeria Faculty of Technology Civil Engineering Department)
  • Received : 2020.02.06
  • Accepted : 2020.02.29
  • Published : 2020.03.25
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Abstract

Vibrational analysis in microtubules is examined based on the nonlocal theory of elasticity. The complete analytical formulas for wave velocity are obtained and the results reveal that the small scale effects can reduce the frequency, especially for large longitudinal wave-vector and large circumferential wave number. It is seen that the small scale effects are more significant for smaller wave length. The methods and results may also support the design and application of nano devices such as micro sound generator etc. The effects of small scale parameters can increase vibrational frequencies of the protein microtubules and cannot be overlooked in the analysis of vibrating phenomena. The results for different modes with nonlocal effect are checked.

Keywords

Acknowledgement

The author(s) received no financial support for the research, authorship, and/or publication of this article.

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