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首页> 外文期刊>Mechanical systems and signal processing >The vibration of two-dimensional imperfect functionally graded (2D-FG) porous rotating nanobeams based on general nonlocal theory
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The vibration of two-dimensional imperfect functionally graded (2D-FG) porous rotating nanobeams based on general nonlocal theory

机译：基于一般非识别理论的二维缺乏功能梯度（2D-FG）多孔旋转纳米振动的振动

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摘要

A comprehensive vibrational analysis of bi-directional functionally graded (2D-FG) rotating nanobeams with porosities is studied for the first time. The beam is modeled based on general nonlocal theory (GNT) where the beam governing equations are derived depending on two different nonlocal parameters. Unlike Eringen's conventional form of nonlocal theory, the general nonlocal theory can reveal both hardening and softening behaviors of the material. Here, the attenuation functions are altered in both transverse and longitudinal directions of 2D-FG nanobeam. This feature, which has a significant effect on the vibrational characteristics, has not been considered in previous studies. Moreover, to estimate the effects of the higher-order transverse shear strains on the vibration of the nanobeam, Reddy's beam theory (RBT), which includes higher-order shear deformation, is employed. The material properties of the 2D-FG rotating nanobeam vary both in the length and thickness directions according to a power law. The generalized differential quadrature method (GDQM) is used to predict the vibration response. Also, the effects of material variation along the length and thickness directions, the rotating velocity of the nanobeam, the porosity volume fraction and the length to thickness ratio of the rotating nanobeam are illustrated and discussed in detail. The investigations performed in this study expose new phenomena for the vibration of nanobeams.
机译：第一次研究了对具有孔隙率的双向功能梯度（2D-FG）旋转纳米束的综合振动分析。该光束基于一般非识别理论（GNT）来建模，其中梁控制方程根据两个不同的非识别参数导出。与eringen的常规非局部非本地理论不同，一般非局部理论可以揭示材料的硬化和软化行为。这里，衰减函数在2D-FG纳米云的横向和纵向方向上改变。此功能对振动特性产生显着影响，并未在以前的研究中考虑。此外，为了估计高阶横向剪切菌株对纳米辐射的振动的影响，采用包括高阶剪切变形的Reddy的光束理论（RBT）。根据权力法，2D-FG旋转纳米沿着长度和厚度方向的材料特性变化。广义差分正交方法（GDQM）用于预测振动响应。而且，示出并详细讨论了沿长度和厚度方向，纳米辐射，孔隙率分数和长度与旋转纳米孔的厚度比的旋转速度的影响。本研究中进行的调查暴露了纳米束的振动的新现象。

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