Dynamic analysis of rotating laminated composite cantilever plates reinforced with graphene nanoplatelets using the element-free IMLS-Ritz method

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.