Abstract

This article investigates the dynamic characteristics of graphene nanoplatelet (GPL) reinforced rotating laminated composite cantilever plates using the element-free improved moving least-squares Ritz (IMLS-Ritz) method. The modified Halpin–Tsai model and rule of mixture are employed to predict the effective material properties. The energy functions of rotating GPL reinforced composite (GPLRC) cantilever plates are obtained by the first-order shear deformation theory (FSDT) including the rotational effects. Based on the IMLS-Ritz approximation, the discrete vibration equation of rotating GPLRC cantilever plates is derived. The accuracy of the IMLS-Ritz results is examined by comparing the natural frequencies with those obtained from published values. A comprehensive parametric study is carried out, with a particular focus on the effects of rotating speed, weight fraction, distribution pattern, total number of layers, and geometric parameters of rotating plates on the natural frequencies. Results show that a small amount of addition of GPLs can greatly increase the natural frequency of rotating GPLRC cantilever plates. The increment of natural frequency shrink when rotating speed is sufficiently high.

摘要

本文使用无元素改进的移动最小二乘 Ritz (IMLS-Ritz) 方法研究了石墨烯纳米片 (GPL) 增强旋转层压复合悬臂板的动态特性。采用改进的 Halpin-Tsai 模型和混合规则来预测有效材料性能。通过包含旋转效应的一阶剪切变形理论 (FSDT) 获得旋转 GPL 增强复合材料 (GPLRC) 悬臂板的能量函数。基于IMLS-Ritz近似，推导了旋转GPLRC悬臂板的离散振动方程。IMLS-Ritz 结果的准确性通过将固有频率与从公布值中获得的频率进行比较来检验。进行了全面的参数研究，特别关注旋转速度、重量分数、分布模式、层数和旋转板的几何参数对固有频率的影响。结果表明，少量添加 GPLs 可以大大提高旋转 GPLRC 悬臂板的固有频率。当转速足够高时，固有频率的增量会缩小。