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首页> 外文期刊>Applied Mathematical Modelling >Vibration analysis of Nano-Rotor's Blade applying Eringen nonlocal elasticity and generalized differential quadrature method
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Vibration analysis of Nano-Rotor's Blade applying Eringen nonlocal elasticity and generalized differential quadrature method

机译：应用Eringen非局部弹性和广义微分求积法的纳米转子叶片振动分析。

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摘要

This study investigates the small scale effect on the flapwise bending vibrations of a rotating nanoplate. The nanoplate is modeled with a classical plate theory and considering cantilever and propped cantilever boundary conditions. Due to the rotation, the axial forces are included in the model as true spatial variation. Hamilton's principle is used to derive the governing equation and boundary conditions of the classical plate theory based on Eringen's nonlocal elasticity theory. The generalized differential quadrature method is employed to solve the governing equation. The effect of small-scale parameter, non-dimensional angular velocity, non-dimensional hub radius, aspect ratio, and different boundary conditions in the first four non-dimensional frequencies is discussed. Due to considering rotating effects, results of this study are applicable in nano-machines such as nano-motors and nano-turbines and other nanostructures.
机译：这项研究调查了旋转纳米板的翼向弯曲振动的小尺度影响。用经典的板理论对纳米板进行建模，并考虑悬臂和支撑悬臂的边界条件。由于旋转，轴向力作为真实的空间变化包含在模型中。基于埃林根的非局部弹性理论，汉密尔顿原理被用来推导经典板理论的控制方程和边界条件。采用广义微分求积法求解控制方程。讨论了在前四个无量纲频率中小尺度参数，无量纲角速度，无量纲轮毂半径，纵横比和不同边界条件的影响。由于考虑到旋转效应，这项研究的结果适用于纳米机器，例如纳米电动机和纳米涡轮机以及其他纳米结构。

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