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首页> 外文期刊>Applied Mathematical Modelling >Free vibration of an ultra-fast-rotating-induced cylindrical nano-shell resting on a Winkler foundation under thermo-electro-magneto-elastic condition
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Free vibration of an ultra-fast-rotating-induced cylindrical nano-shell resting on a Winkler foundation under thermo-electro-magneto-elastic condition

机译：热电磁弹性条件下基于Winkler基础的超快旋转诱导圆柱纳米壳的自由振动

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摘要

Recently, ultra-fast-rotating-induced cylindrical nano-shells subjected to electro-magnetic fields are used as a water pump. An enormous centrifugal acceleration (up to 1011  g), which is surpassed by five orders of magnitude acceleration in the fastest centrifuges available today, on such nano-structure would have a considerable effect on the vibration and buckling behavior of the structure. In order to predict the first natural frequency and the critical angular velocity of a thermo-electro-magneto-elastic single-layer cylindrical nano-shell resting on a Winkler foundation, the governing equations of motion are derived based on the Hamiltonian Principle and by using first shear deformation theories in conjunction with modified couple stress theory. The effects of the centrifugal acceleration are considered in the formulation. For different boundary conditions, GDQ method is applied as a numerical solution and an analytical solution is presented for the simple-simple boundary conditions at the end of the nano-cylinder. The contributions of the centrifugal acceleration, angular velocities, electrical field, magnetic field, elastic foundation and boundary conditions are investigated. The convergency of the results as well as the verification of the solutions with available results in the literature are presented in details.
机译：近来，受到电磁场影响的超快速旋转诱导圆柱形纳米壳被用作水泵。在这样的纳米结构上，巨大的离心加速度（高达1011µg）超过了当今最快的离心机中五个数量级的加速度，将对该结构的振动和屈曲行为产生很大影响。为了预测基于Winkler基础的热电磁弹性单层圆柱纳米壳的第一固有频率和临界角速度，基于哈密顿原理并通过使用第一个剪切变形理论与修正的偶应力理论相结合。在配方中考虑了离心加速度的影响。对于不同的边界条件，应用GDQ方法作为数值解，并给出了纳米圆柱体末端的简单边界条件的解析解。研究了离心加速度，角速度，电场，磁场，弹性基础和边界条件的贡献。详细介绍了结果的收敛性以及对具有可用结果的解决方案的验证。

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  • 来源
    《Applied Mathematical Modelling》 |2018年第9期|255-279|共25页
  • 作者

    M.H. Shojaeefard; M. Mahinzare; H. Safarpour; H. Saeidi Googarchin; M. Ghadiri;

  • 作者单位

    Mechanical Engineering Department, Iran University of Science and Technology;

    Head of Automotive Fluids and Structures Analysis Research Laboratory, School of Automotive Engineering, Iran University of Science and Technology;

    Faculty of Engineering, Department of Mechanics, Imam Khomeini International University;

    Head of Automotive Fluids and Structures Analysis Research Laboratory, School of Automotive Engineering, Iran University of Science and Technology;

    Faculty of Engineering, Department of Mechanics, Imam Khomeini International 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

    Cylindrical nano-shell; Vibration; Buckling; Thermo-electro-magneto-elastic condition; Winkler foundation;

    机译：圆柱纳米壳;振动;屈曲;热电磁弹性条件;Winkler基础;

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