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On the vibrations of a high-speed rotating multi-hybrid nanocomposite reinforced cantilevered microdisk
Mechanics Based Design of Structures and Machines ( IF 3.9 ) Pub Date : 2020-10-08 , DOI: 10.1080/15397734.2020.1828098
M. S. H. Al-Furjan 1, 2 , Seyedeh Yasaman Bolandi 3 , Lijun Shan 1, 2 , Mostafa Habibi 4, 5 , Dong won Jung 6
Affiliation  

Abstract

In this study, the vibrational characteristics of a rotating multi-hybrid nanocomposite reinforced (MHCR) cantilevered disk (MHCRCD) are presented. The centrifugal and Coriolis effects due to the rotation are considered. The strains and stresses can be determined via the high-order shear deformable theory (HSDT). For access to various mass densities, as well as the Poisson ratio, the rule of the mixture is applied, although a modified Halpin-Tsai theory is used for obtaining the module of elasticity. The boundary conditions and governing equations are obtained using Hamilton’s principle and finally are solved via generalized differential quadrature method (GDQM). Vibration characteristics of the rotating MHCRCD with various boundary conditions are described according to the curves drawn by Matlab software. Also, the simply supported conditions are applied to edges θ=π/2, and θ=3π/2, also, cantilever (clamped–free) boundary conditions are investigated in R = Ri, and R0, respectively. Apart from the numerical solution, a 3-D finite element model using ABAQUS software was presented using the finite element package to simulate the response of the rotating MHCRCD. The results created from a finite element simulation illustrates a close agreement with the semi-numerical method results. The outcomes show that the fibers' angel, angular velocity speed, and various patterns of carbon nanotube (CNT) have a considerable impact on the amplitude, and vibration behavior of a rotating MHCRCD. As an applicable result in related industries, the rotating speed effect on the real part of frequency is more effective in the higher values of the radius ratio.



中文翻译:

高速旋转多杂化纳米复合材料增强悬臂微盘的振动

摘要

在这项研究中,介绍了旋转多混合纳米复合材料增强 (MHCR) 悬臂盘 (MHCRCD) 的振动特性。考虑了旋转引起的离心效应和科里奥利效应。应变和应力可以通过高阶剪切变形理论 (HSDT) 确定。为了获得各种质量密度以及泊松比,应用了混合规则,尽管使用改进的 Halpin-Tsai 理论来获得弹性模量。边界条件和控制方程是利用汉密尔顿原理得到的,最后通过广义微分求积法(GDQM)求解。根据Matlab软件绘制的曲线描述了旋转MHCRCD在各种边界条件下的振动特性。还,θ=π/2,θ=3π/2,此外,悬臂(无钳位)边界条件在R  =  R iR 0中进行了研究, 分别。除了数值解之外,还使用有限元软件包提出了使用 ABAQUS 软件的 3-D 有限元模型,以模拟旋转 MHCRCD 的响应。有限元模拟的结果表明与半数值方法的结果非常吻合。结果表明,纤维的角度、角速度和碳纳米管 (CNT) 的各种图案对旋转 MCRCD 的振幅和振动行为有相当大的影响。作为相关行业的应用结果,半径比值越大,转速对频率实部的影响越明显。

更新日期:2020-10-08
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