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Dynamic simulation of the ultra-fast-rotating sandwich cantilever disk via finite element and semi-numerical methods
Engineering with Computers ( IF 8.7 ) Pub Date : 2021-04-18 , DOI: 10.1007/s00366-021-01396-6
Jinhui Wu , Mostafa Habibi

In the presented research, vibrational, and amplitude behaviors of a sandwich spinning disk made of two laminated layers and graphene nanoplatelets reinforced composite (GPLRC) core has been reported. The Coriolis and centrifugal impacts have been taken into account due to its rotational feature. The stresses and strains have been obtained through the high-order shear deformable theory (HSDT). The structure’s boundary conditions (BCs) are determined using laminated rotating disk’s governing equations employing energy methods and ultimately have been solved via a computational approach called generalized differential quadrature method (GDQM). The rotational disk’s vibrations with different BCs have been explained using the curves drawn by MATLAB programming. Moreover, the hinged BCs have been considered to edges \(\theta = 3\pi /2\), and \(\theta = \pi /2\). Furthermore, cantilever (clamped–free) BCs, respectively, are taken into account in R = Ri, and R0. In addition to computational approach, a 3-D finite element (FE) simulation has been conducted via ABAQUS software employing the FE package to model the laminated cantilevered disk’s response. The outcomes determined by a FE simulation demonstrate a decent agreement with the semi-numerical approach’s results. Thereby the results reveal, disk’s angle of ply, number of layers, length scale, angular velocity, and nonlocal elements, and geometrical features have a significant influence on the vibration and amplitude characteristics of a sandwich spinning Clamped-Free disk. As a practical outcome in pertained industries, If the structure is manufactured of an even layers’ number, the system’s frequency response would be much better, specifically in a small radius ratio amount.



中文翻译:

超快速旋转夹心悬臂盘的有限元和半数值模拟

在目前的研究中,已经报道了由两个层压层和石墨烯纳米片增强复合材料(GPLRC)芯制成的三明治纺丝盘的振动和振幅行为。由于其旋转特性,已经考虑到了科氏力和离心力的影响。应力和应变是通过高阶剪切可变形理论(HSDT)获得的。结构的边界条件(BCs)使用能量方法使用层状旋转盘的控制方程式确定,并最终通过称为广义差分正交方法(GDQM)的计算方法求解。使用MATLAB编程绘制的曲线说明了旋转盘在不同BC情况下的振动。此外,铰链BCs被认为是边缘\(\ theta = 3 \ pi / 2 \)\(\ theta = \ pi / 2 \)。此外,在R  =  R iR 0中分别考虑了悬臂式(无夹钳)BC。。除了计算方法外,还通过ABAQUS软件进行了3-D有限元(FE)仿真,该软件采用FE包对叠层悬臂盘的响应进行建模。有限元模拟确定的结果表明,该结果与半数值方法的结果相当吻合。结果表明,圆盘的夹角,层数,长度标度,角速度和非局部元素以及几何特征对夹心旋转无夹心圆盘的振动和振幅特性有重大影响。作为相关行业的实际结果,如果结构是用偶数层的数量制造的,则系统的频率响应会好得多,特别是在半径比较小的情况下。

更新日期:2021-04-18
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