Free vibration and stability analysis of a rotating nano tube containing internal flow

Subject Areas : Nano

Mehdi Salehi ¹ , Mohammad Armaghani ²

1 - department of mechanical engineering, Islamic Azad University of Najafabad
2 - Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran

Received: 2018-09-25 Accepted : 2018-12-07 Published : 2019-02-20

Keywords: Euler-Bernoulli beam, vibrations, rotating nanotube, Erlingen theory,

Abstract :

In this thesis, using the Euler-Bernoulli beam model and Eringen nonlocal elasticity theory, also taking into account the effects of Coriolis acceleration, the equations of the vibration of the rotating nanotubes are governed. Moreover the forces imposing on the rotating nanotubes under the influence of vibrations from the internal flow side using the theory of slender body theorem is simulated and calculated. By combining the governing equations on the axial axis of nanotube, the equations of internal forces from the internal flow of the system are extracted. Then, using eigenvalue analysis methods, the natural frequencies of the vibration is governed and its stability at Different rotation speeds and axiality are studied. Also, the effects of parameters such as rotational speed, axial flow velocity, mass ratio of internal flow to mass axis, slip coefficient, and ... on the study boundary of stability will be investigated