Surface Effect on Nonlinear Free Vibration Analysis of Nanotubes

Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering

جعفر  اسکندری جم ¹ (دانشیار، مرکز کامپوزیت، تهران.)
یاسر  میرزایی ² (استادیار، گروه مکانیک، دانشگاه آزاد اسلامی، واحد دماوند)
بهنام  قشلاقی ³ (کارشناس ارشد، گروه مکانیک، دانشگاه آزاد اسلامی، واحد دماوند.)

Received: 2015-09-30 Accepted : 2015-09-30 Published : 2010-12-22

Keywords: Nonlinear vibration, Nanotubes, Surface effect,

Abstract :

In this work,The free nonlinear vibrations of nanotubes using the Euler-Bernoulli beam theory along with the von Kármán geometric nonlinearity in presence of surface effects has been investigated. Natural frequencies of a simply-supported nanotube in terms of the Jacobi elliptic functions are obtained by using the free vibration modes of the corresponding linear problem. The numerical results describe the imperative influence of surface effect, mode number, vibration amplitude, and the length and thickness of the nanotubes on the vibrational characteristics of the nanotubes. In addition the influence of surface effects on the system phase trajectory is considered. Finally, it is observed that the surface effects diminish by increasing in the dimension of nanotubes. The present study may be used to improve the design of different types of micro-nano sensors.

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