Semi-analytical investigation on dynamic response of viscoelastic single-walled carbon nanotube in nanoparticle delivery

  • B. Rezapour
  • M. A. Fariborzi AraghiEmail author
Technical Paper


Dynamic response of simply supported single-walled carbon nanotubes (SWCNTs) with moving nanoparticle is studied based on nonlocal continuum mechanics formulations. The new differential equation of motion is proposed by considering the effect of inertia and Coriolis forces due to nanoparticle movement. The viscoelastic behavior of the SWCNTs is established by Kelvin–Voigt viscoelastic model. The governing differential equation obtained from Newton’s second law is discretized using the Galerkin method, and then, the effect of various parameters on dynamic response of the system is evaluated. Results show that the proposed moving mass model considering interaction and friction force effects between nanoparticle and SWCNTs reveals significant influence on dynamic response of the system. The dynamic amplitude obtained from moving mass model is almost 30% higher than the corresponding value obtained from moving load model. Moreover, the viscoelastic behavior eliminates the oscillations caused by natural vibrations, from the transient response of the SWCNTs. In addition, the friction between nanoparticle and SWCNTs has significant effect on dynamic response of the system, especially the steady-state response.


SWCNTs Moving nanoparticle Viscoelastic behavior Dynamic response Galerkin method 



The authors would like to thank the anonymous reviewers for their careful reading and constructive comments to improve the quality of this work. Also, we thank the Islamic Azad University, Central Tehran Branch, for their support during this research.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2019

Authors and Affiliations

  1. 1.Department of MathematicsCentral Tehran Branch, Islamic Azad UniversityTehranIran

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