The influence of various nanofiller materials (CNTs, GNPs, and GOPs) on the natural frequencies of Nanocomposite Cylindrical Shells: A comparative study

Abstract

The present research compares the influences of nanofiller materials on the free vibrational performance of Nanocomposite Cylindrical Shells (NCSs). For this purpose, three well-known nanofiller materials covering Carbon Nano Tubes (CNTs), Graphene Nano Platelets (GNPs), and Graphene Oxide Powders (GOPs) are implemented to improve polymer matrix and create nanocomposite materials. Accordingly, the modified rule of the mixture is employed to find the mechanical properties related to the CNT-nanocomposite. At the same time, the Halpin-Tsai scheme is employed to determine the GNP and GOP-nanocomposites mechanical features. Additionally, four functionally graded (FG) distribution patterns (DPs) are utilized to scatter the nanofillers along with the NCSs. In addition, the First-order Shear Deformation Theory (FSDT) and general shell scheme are implemented to find the basic relationships of the NCSs. Furthermore, Hamilton's principle is applied to derive the governing equations of motion for the NCSs. Next, the well-arranged method, namely the Generalized Differential Quadrature Method (GDQM), is implemented to discretize the equations of the motion. Then, the solution of the standard eigenvalue is joined to the list to extract the natural frequency outputs related to the NCSs. After that, to confirm the present method, multiple benchmarks are compared with the results of the submitted procedure for Carbon Nanotubes Reinforced (CNTR) and Graphene Nano Platelets Reinforced (GNPR) NCSs. It should be mentioned that there is no study related to the natural frequencies (NFs) of the Graphene Oxide Powders Reinforced (GOPR) NCSs in the open literature. Lastly, various parametrical examples are presented to explain the influences of the three kinds of nanofillers on the free vibration responses of NCSs.