Nonlinear vibration analysis of piezoelectric plates reinforced with carbon nanotubes using DQM

چکیده مقاله

The aim of the paper is to analyze nonlinear transverse vibration an embedded piezoelectric The aim of the paper is to analyze nonlinear transverse vibration an embedded piezoelectric plate reinforced with single walled carbon nanotubes (SWCNTs). The system in rested a Pasternak foundation. The micro-electro--mechanical model is employed to calculate 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 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 SWCNTs, the frequency increases. This study might be useful for the design and smart control of nano/micro devices such as MEMS and NEMS.