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Investigation of Vibration and Stability of Graphene NanoRibbone under Magnetic field Effect

Mohammadkhani, Hasan | 2014

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 46255 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Dehghani Firouzabadi, Rouhollah
  7. Abstract:
  8. This study aims at investigating the vibration analysis and stability of Graphene Nano-Ribbon (GNR) under a magnetic field using continuum mechanics approach and an efficient hybrid modal-molecular dynamics method. The force distribution on the GNR due to the magnetic field is determined by Maxwell's equations, Biot-savart law, magnetic dipoles and Lorentz force law.
    Using the continuum mechanics model, the vibration of the GNR in a magnetic field is investigated by some problems and the resonance frequencies, stability boundaries and critical load are studied.
    Furthermore, in this present study, an efficient hybrid modal-molecular dynamics method is developed for the vibration analysis of large scale nanostructures. Using the reduced order method, free vibration of GNR and circular single-layered graphene sheet is investigated, and the results obtained by the present technique and direct molecular dynamic simulations are in very good agreement. Also, using the proposed technique, the linear and nonlinear vibration of a suspended GNR under magnetic field are investigated by two problems. The validity and computational efficiency of the method were verified using direct molecular dynamic simulations and very good agreement was achieved.
  9. Keywords:
  10. Natural Frequency ; Nonlinear Vibration ; Magnetic Fields ; Graphene Nanoribbons ; Modal Reduced Order Model ; Reduced Order Model ; Modal-Molecular Dynamics Method

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