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Sability and Sibration Analysis for a Type of Special Nano Motor Based on Cylindrical Shell Equations and Nonlocal Elastisity Theory

Torkaman Asadi, Mohammad Ali | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45092 (45)
  4. University: Sharif University of Technology
  5. Department: Aerospace Engineering
  6. Advisor(s): Dehghani Firouzabadi, Rohollah; Haddadpour, Hassan
  7. Abstract:
  8. The present study investigates the vibrational behavior of a special type of nano-motor based on a thin cylindrical shell model and the nonlocal elasticity theory of Eringen. The presumed nano-motor is comprised of three single walled carbon nanotubes (CNT), where two of them are cantilevered and the third one is located in the middle. The CNT in the middle will suspend due to the Van-der-Waals forces generated from the interaction by the cantilevered CNT pair. Some proper chirality arrangements can conduct electricity and make the middle CNT rotate in extremely high speeds. In fact, the middle CNT rotates on a frictionless elastic foundation. In the present study, the nano-motor is modeled by nanotube members where the middle rotating CNT is partially embedded in an elastic foundation. Based on the considered shell model and the Eringen’s theory on nonlocal elasticity, the governing equations of motion are obtained along with their corresponding boundary conditions. The Frobenius expansion series is utilized which acquires the differential form of governing equations. The first outstanding aspect of this method is its swiftness compared with other solution procedures; moreover, presenting an exact and analytical solution to the governing equation is its second trait. A full parameter study is conducted throughout this study and the effects of geometrical parameters, rotation speeds, boundary conditions and elastic foundation of the vibrational behavior are discussed. Furthermore, the effect of the nonlocal parameter on the natural frequencies is also included for the nonlocal analysis
  9. Keywords:
  10. Elastic Foundation ; Thin Walled Cylindrical Shell Vibrations ; Rotating Cylindrical Shell ; Nonlocal Elasticity Theory ; Carbon Nanotubes ; Nanomotor

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