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Advances in Nano Research
  Volume 8, Number 3, April 2020 , pages 245-254

Forward and backward whirling of a spinning nanotube nano-rotor assuming gyroscopic effects
Hassen M. Ouakad, Hamid M. Sedighi and Hussain M. Al-Qahtani

    This work examines the fundamental vibrational characteristics of a spinning CNT-based nano-rotor assuming a nonlocal elasticity Euler-Bernoulli beam theory. The rotary inertia, gyroscopic, and rotor mass unbalance effects are all taken into consideration in the beam model. Assuming a nonlocal theory, two coupled 6th-order partial differential equations governing the vibration of the rotating SWCNT are first derived. In order to acquire the natural frequencies and dynamic response of the nanorotor system, the nonlinear equations of motion are numerically solved. The nano-rotor system frequency spectrum is shown to exhibit two distinct frequencies: one positive and one negative. The positive frequency is known as to represent the forward whirling mode, whereas the negative characterizes the backward mode. First, the results obtained within the framework of this numerical study are compared with few existing data (i.e., molecular dynamics) and showed an overall acceptable agreement. Then, a thorough and detailed parametric study is carried out to study the effect of several parameters on the nano-rotor frequencies such as: the nanotube radius, the input angular velocity and the small scale parameters. It is shown that the vibration characteristics of a spinning SWCNT are significantly influenced when these parameters are changed.
Key Words
    single-walled carbon nanotube; nano-rotor; forward and backward whirling; nonlocal elasticity
(1) Hassen M. Ouakad:
Department of Mechanical & Industrial Engineering, Sultan Qaboos University, Engineering College, PO-Box 33, Al-Khoudh, 123, Muscat, Oman;
(2) Hamid M. Sedighi:
Mechanical Engineering Department, Faculty of Engineering, Shahid Chamran University of Ahvaz, Ahvaz, Iran;
(3) Hamid M. Sedighi:
Drilling Center of Excellence and Research Center, Shahid Chamran University of Ahvaz, Ahvaz, Iran;
(4) Hussain M. Al-Qahtani:
Mechanical Engineering Department, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.

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