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首页> 外文期刊>Proceedings of the institution of mechanical engineers >Analytical modeling of wave propagation in viscoelastic functionally graded carbon nanotubes reinforced piezoelectric microplate under electro-magnetic field
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Analytical modeling of wave propagation in viscoelastic functionally graded carbon nanotubes reinforced piezoelectric microplate under electro-magnetic field

机译:电磁场下粘弹性功能梯度碳纳米管增强压电微板中波传播的解析模型

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Wave propagation analysis of a functionally graded carbon nanotubes reinforced piezoelectric composite (FG-CNTRPC) microplate is the major main of the present research. In order to present a realistic model, the material properties of the system are assumed viscoelastic and the Kelvin-Voigt model is applied. The viscoelastic FG-CNTRPC microplate is subjected to longitudinal magnetic and three-dimensional electric fields. The distribution of carbon nanotubes in FG-CNTRPC microplate is supposed as uniform distribution and surrounding circumference is simulated as Visco-Pasternak foundation. The original formulation of the quasi-three-dimensional sinusoidal shear deformation plate theory is here extended to the wave propagation analysis and the size effects are considered based on Eringen's nonlocal theory. In order to calculate the dimensionless frequency, cut-off and escape frequencies analytical solution is applied. In this article, the influences of the volume fraction of carbon nanotubes, electro-magnetic fields and elastic medium on the dimension-less frequency of viscoelastic FG-CNTRPC microplate are investigated. Furthermore, the effect of small-scale parameter on the cut-off and escape frequencies of the system will be studied. Results demonstrate that the dimensionless cut-off and escape frequencies decrease with increasing the magnitude of small-scale parameter. In addition, the imposed magnetic field and external voltage are significant parameters for controlling wave propagation of the viscoelastic FG-CNTRPC microplate. Results of this investigation can be helpful for the study and design of composite systems based on smart control and sensor applications.
机译:功能梯度碳纳米管增强压电复合材料(FG-CNTRPC)微板的波传播分析是本研究的主要内容。为了提供一个逼真的模型,假定系统的材料特性是粘弹性的,并应用了Kelvin-Voigt模型。粘弹性FG-CNTRPC微板受到纵向磁场和三维电场的影响。碳纳米管在FG-CNTRPC微孔板中的分布被认为是均匀分布,并且周围的周长被模拟为Visco-Pasternak基础。准三维正弦剪切变形板理论的原始公式在此扩展到波传播分析,并基于艾林根的非局部理论来考虑尺寸效应。为了计算无量纲频率,应用了截止频率和逃逸频率分析解决方案。本文研究了碳纳米管的体积分数,电磁场和弹性介质对粘弹性FG-CNTRPC微孔板无量纲频率的影响。此外,将研究小尺度参数对系统的截止频率和逃逸频率的影响。结果表明,无量纲的截止频率和逃逸频率随着小尺度参数的增加而减小。此外,施加的磁场和外部电压是控制粘弹性FG-CNTRPC微板波传播的重要参数。研究结果对基于智能控制和传感器应用的复合系统的研究和设计很有帮助。

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