MATEC Web of Conferences
Volume 11, 2014International Congress on Materials & Structural Stability
|Number of page(s)||3|
|Section||Structures & Stability|
|Published online||28 April 2014|
Nonlinear free vibration of single walled Carbone NanoTubes conveying fluid
1 Mathematical Modeling and Control, Faculty of Sciences and Techniques of Tangier University Abdelmalek Essaadi, BP 416, Tangier, Morocco
2 Departement of Mechanical Engineering, Faculty of Engineering, Kind Abdulaziz University, Jeddah, Saudi Arabia
Nonlinear free vibration of single-walled carbon nanotubes (CNTs) conveying fluid are modeled and numerically simulated based on von Kármán geometric nonlinearity and Eringen’s nonlocal elasticity theory. The CNTs are modelled as nanobeams where the effects of transverse shear deformation and rotary inertia are considered within the framework of Timoshenko beam theory. The governing equations and boundary conditions are derived using the Hamilton’s principle and the nonlinear equation of motion is solved by the Galerkin’s method. The small scale parameter and the fluid-tube interaction effects on the dynamic behaviours of the CNT-fluid system as well as the instabilities induced by the fluid-velocity can be investigated. The critical fluid-velocity and frequency-amplitude relationships as well as the flutter and divergence instability types and the associated time responses are obtained based on the presented methodological approach.
© Owned by the authors, published by EDP Sciences, 2014
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 2.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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