Techno Press
Techno Press

Smart Structures and Systems   Volume 18, Number 4, October 2016, pages 787-800
DOI: http://dx.doi.org/10.12989/sss.2016.18.4.787
 
Nonlinear vibration analysis of piezoelectric plates reinforced with carbon nanotubes using DQM
Ali Ghorbanpour Arani, Reza Kolahchi and Masoud Esmailpour

 
Abstract     [Full Text]
    The aim of the paper is to analyze nonlinear transverse vibration of an embedded piezoelectric plate reinforced with single walled carbon nanotubes (SWCNTs). The system in rested in a Pasternak foundation. The micro-electro-mechanical model is employed to calculate mechanical and electrical properties of nanocomposite. Using nonlinear strain-displacement relations and considering charge equation for coupling between electrical and mechanical fields, the motion equations are derived based on energy method and Hamilton\'s principle. These equations can\'t be solved analytically due to their nonlinear terms. Hence, differential quadrature method (DQM) is employed to solve the governing differential equations for the case when all four ends are clamped supported and free electrical boundary condition. The influences of the elastic medium, volume fraction and orientation angle of the SWCNTs reinforcement and aspect ratio are shown on frequency of structure. The results indicate that with increasing volume fraction of SWCNTs, the frequency increases. This study might be useful for the design and smart control of nano/micro devices such as MEMS and NEMS.
 
Key Words
    nonlinear vibration; piezoelectric plate; SWCNT; pasternak foundation; DQM
 
Address
Ali Ghorbanpour Arani: Faculty of Mechanical Engineering, Institute of Nanoscience & Nanotechnology, University of Kashan, Kashan, Iran
Reza Kolahchi: Department of Mechanical Engineering, Kashan Branch, Islamic Azad University, Kashan, Iran
Masoud Esmailpour: Young Researchers and Elite Club, Damavand Branch,Islamic Azad University, Damavand, Iran


 

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