Affiliation:
1. Faculty of Engineering, Department of Mechanical Engineering, Imam Khomeini International University, Qazvin, Iran
Abstract
The nonlinear frequency response of graphene/piezoelectric sandwich nanoplates under the electric voltage exerted on piezoelectric layer and a shock force pulse is the objective of the present paper. First, using von Karman nonlinear relations, Kelvin–Voigt model, piezoelectric nonlocal elasticity theory and Hamilton's principle, the nonlinear governing differential equation of motion is derived. In the second step, to transform the partial differential equations to the ordinary differential ones, Galerkin technique is employed. Then, governing equation is solved based on multiple scale method. At the end, modulation equation of graphene/piezoelectric sandwich nanoplate is obtained. Emphasizing the effect of the electric voltage and the shock force pulse, the results for fundamental frequency response are obtained. The results emphasize that the exciting loads can cause multivaluedness in frequency response and intensify the jump phenomenon. Also, they can be effective to amplify the vibration behavior of the structure to make resonance. In addition, the thickness of piezoelectric layer plays a significant role in nonlinear frequency response.
Subject
Mechanical Engineering,Mechanics of Materials,Ceramics and Composites
Cited by
19 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献