Dynamics of a Spinning Three-Phase Polymer/Fiber/GNP Laminated Nanocomposite Conical Shell with Non-Uniform Thickness

Abstract

In this work, the free vibration of a spinning polymer/fiber/GNP laminated truncated conical shell with non-uniform thickness is analyzed. The conical shell is made of a polymeric matrix reinforced with aligned fibers and uniformly distributed graphene nanoplatelets (GNPs). The elastic constants and density of the nanocomposite are estimated utilizing micromechanical equations, the Halpin–Tsai model, and the rule of mixture. The conical shell is modeled via the first-order shear deformation theory (FSDT) incorporating relative, centrifugal, and Coriolis accelerations alongside the initial hoop tension. Hamilton’s principle is hired to derive the governing equations and boundary conditions. The differential quadrature method (DQM) is hired to provide a numerical solution in the meridional direction alongside an analytical solution presented in the circumferential direction. The effects of several parameters on the natural frequencies and critical rotational speeds are inspected including thickness variation parameters, mass fractions of the fibers and the GNPs, stacking sequence, and boundary conditions. It is discovered that to achieve higher natural frequencies and critical rotational speeds, it is better to increase the mass fractions of the GNPs and fibers and align the fibers in parallel with the meridional direction.