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首页> 外文期刊>Applied mathematics and computation >Differential quadrature based nonlocal flapwise bending vibration analysis of rotating nanotube with consideration of transverse shear deformation and rotary inertia
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Differential quadrature based nonlocal flapwise bending vibration analysis of rotating nanotube with consideration of transverse shear deformation and rotary inertia

机译：考虑横向剪切变形和旋转惯性的基于微分求积法的旋转纳米管非局部襟翼弯曲振动分析

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This paper is concerned with the flapwise bending free vibration problem for rotating nanotubes. The small scale effect is taken into consideration based on nonlocal elasticity theory. In the nanotube model the effects of transverse shear deformation and rotary inertia are accounted. The nonlocal governing equations and the nonlocal boundary conditions are derived. These equations are solved analytically for the vibration frequencies of nanotubes via differential quadrature method. The vibration solutions obtained provide a better representation of the vibration behavior of short, stubby, nanotubes where the effects of small scale, transverse shear deformation and rotary inertia are significant. The effects of the nonlocal small scale parameter and the hub radii on the natural frequencies of the rotating carbon nanotube with respect to the rotating angular velocity are investigated in the present work. The results can provide useful guidance for the study and design of the next generation of nanodevices such as blades of a nanoturbine, nanogears, and nanoscale bearings, that make use of the vibration properties of rotating single-walled carbon nanotubes.
机译：本文涉及旋转纳米管的翼向自由弯曲振动问题。基于非局部弹性理论，考虑了小尺度效应。在纳米管模型中，考虑了横向剪切变形和旋转惯性的影响。推导了非局部控制方程和非局部边界条件。通过微分求积法对纳米管的振动频率进行解析求解。所获得的振动解决方案可以更好地表示短而短的纳米管的振动行为，其中小规模，横向剪切变形和旋转惯性的影响非常明显。在本工作中，研究了非局部小尺度参数和轮毂半径对旋转碳纳米管固有频率相对于旋转角速度的影响。该结果可为研究和设计下一代纳米器件（如纳米涡轮机叶片，纳米齿轮和纳米级轴承）提供有用的指导，它们利用旋转的单壁碳纳米管的振动特性。

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