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首页> 外文期刊>Applied Mathematical Modelling >Nonlinear dynamic characteristics of bi-graphene sheets/piezoelectric laminated films considering high order van der Walls force and scale effect
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Nonlinear dynamic characteristics of bi-graphene sheets/piezoelectric laminated films considering high order van der Walls force and scale effect

机译：考虑高阶范德华力和尺度效应的双石墨烯片/压电层压薄膜的非线性动力学特性

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摘要

Highlights•Analytical solution for nonlinear dynamic characteristics of laminated films.•Moving nano-particles are absorbed into the channel between laminated films.•The nonlinear amplitude of laminated films can be controlled by electric loading.AbstractThis paper presents an analytical method to investigate the nonlinear vibration characteristics of bi-graphene sheets/piezoelectric (BGP) laminated films subjected to electric loading based on a nonlocal continuum model, in which the two adjacent layers are coupled by van der Walls force. Utilizing von Kármán nonlinear geometric relation and nonlocal physical relation, the nonlinear dynamic equation of BGP laminated films under electric loading exerted on the piezoelectric layer is found, then the relation between the nonlinear resonant frequency and the nonlinear vibration amplitude for each layer of the BGP laminated films is obtained by using Galerkin method and harmonic-balance method. Results show that the nonlinear vibration amplitude for each layer of laminated films can be controlled by adjusting the electric potential exerted on piezoelectric layer, and the coupled effect of van der Walls force between graphene sheet and piezoelectric layer on the vibration amplitude of each layer depends on the order number of nonlinear resonant frequency and the mode shape.
机译： 突出显示 • 层压膜非线性动力学特性的解析解。 • 运动的纳米颗粒被吸收到层压膜之间的通道中。 • 层压的非线性振幅可以通过电负载来控制电影。 摘要 本文提出了一种基于非局部连续介质模型的双石墨烯片/压电（BGP）层压薄膜在电负载下的非线性振动特性的分析方法，其中两个相邻层通过范德华力耦合。利用vonKármán的非线性几何关系和非局部物理关系，求得BGP叠层薄膜在电载荷作用于压电层的非线性动力学方程，进而得出BGP叠层每一层的非线性共振频率与非线性振动幅度之间的关系。采用Galerkin法和谐波平衡法得到薄膜。结果表明，通过调节施加在压电层上的电势可以控制每一层层压膜的非线性振动幅度，而石墨烯片和压电层之间的范德华力对每一层振动幅度的耦合效应取决于非线性共振频率的阶数和振型。

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  • 来源
    《Applied Mathematical Modelling》 |2018年第4期|289-303|共15页
  • 作者

    H.Z. Zhan; F.P. Yang; X. Wang;

  • 作者单位

    School of Naval Architecture, Ocean and Civil Engineering, (State Key Laboratory of Ocean Engineering), Shanghai Jiaotong University;

    School of Naval Architecture, Ocean and Civil Engineering, (State Key Laboratory of Ocean Engineering), Shanghai Jiaotong University;

    School of Naval Architecture, Ocean and Civil Engineering, (State Key Laboratory of Ocean Engineering), Shanghai Jiaotong University;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Bi-layer graphene sheets/piezoelectric laminated films; Nonlinear vibration; van der Walls force; Scale effect;

    机译：双层石墨烯片/压电叠层薄膜;非线性振动;范德华力;水垢效应;

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