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Vibration of initially stressed carbon nanotubes under magneto-thermal environment for nanoparticle delivery via higher-order nonlocal strain gradient theory

  • M. R. Farajpour
  • A. R. Shahidi
  • F. Tabataba’i-Nasab
  • A. Farajpour
Regular Article

Abstract.

In this paper, the forced vibration of a single-walled carbon nanotube (SWCNT) under a moving nanoparticle is investigated based on the higher-order nonlocal strain gradient theory. The SWCNT is subjected to thermo-mechanical stresses and an external longitudinal magnetic field. The influences of higher-order stress gradients in conjunction with the strain gradient nonlocality are taken into account. Using Hamilton’s principle and Maxwell’s equations, the higher-order differential equations of motion are derived. An analytical solution is obtained for the dynamic deflection of SWCNTs using the Galerkin method. Furthermore, the governing differential equation is solved numerically using the precise integration method. The results of the two solution procedures are compared and an excellent agreement is found between them. Finally, the influences of various scale parameters, the velocity of the moving nanoparticle, the initial axial stress, the temperature change and longitudinal magnetic field on the dynamic response of SWCNTs are investigated.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • M. R. Farajpour
    • 1
  • A. R. Shahidi
    • 2
  • F. Tabataba’i-Nasab
    • 3
  • A. Farajpour
    • 2
  1. 1.Borjavaran Center of Applied Science and TechnologyUniversity of Applied Sciences and TechnologyTehranIran
  2. 2.Department of Mechanical EngineeringIsfahan University of TechnologyIsfahanIran
  3. 3.Department of Mechanical EngineeringK.N. Toosi University of TechnologyTehranIran

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