Free vibration analysis of a rotating nanoshaft based SWCNT
MECACOMP Laboratory, Department of Mechanical Engineering, Faculty of Technology, University of Tlemcen, BP230, 13000, Tlemcen, Algeria
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Accepted: 3 November 2017
Published online: 8 December 2017
In this paper, the vibration behaviour of a nanoscale rotating shaft based single-walled carbon nanotube is investigated. The Euler-Bernoulli beam model is used to model the dynamic behaviour of the nanorotor based on Eringen’s nonlocal theory of elasticity. The governing equations and boundary conditions are derived according to the Hamilton’s principle and the resulted equations system is solved with the aid of the generalized differential quadrature method (GDQM). The effects of the small-scale parameter, angular velocity and boundary conditions are reported. The results can provide useful guidance for the dynamic behaviour and design of the next generation of rotating nanomachinery, such as nanoturbines and nanomotors.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2017