MATEC Web Conf.
Volume 286, 201914th Congress of Mechanics (CMM2019)
|Number of page(s)||3|
|Section||Dynamics, Vibrations and Acoustics|
|Published online||14 August 2019|
Flutter and parametric stability analysis of axially moving composite graphene sheets
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
3 Research Center STIS, Team M2CS, ENSET, Mohammed V University, Rabat, Morocco
The dynamic analysis instability of axially moving rectangular composite graphene sheets with visco elastic foundation is modeled and numerically simulated for various boundary conditions based on the differential quadrature method (DQM). The partial differential equation of motion based on the nonlocal elasticity and the Kirchhoff plate theories is given. The Galerkin and harmonic balance methods are used for the linear and parametric vibration analysis. The influences of nonlocal parameter, the fibers orientation and the viscoelastic foundation effects on the dynamic behaviors of the rectangular graphene sheet as well as the instabilities induced by the time dependent axial speed and its excitation frequency are investigated.
Key words: Dynamic analysis / Instability / Composite graphene sheets / Differential quadrature / Nonlocal elasticity.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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