Nonlinear Primary Resonant Characteristics of Higher-Order Shear Deformable FG-CNTRC Circular Cylindrical Panels

Abstract

In this work, the nonlinear primary resonance of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) circular cylindrical panels is numerically studied. The FG-CNTRC cylindrical panels under the radial harmonic loading are modeled on the basis of the hyperbolic shear deformation shell theory (HSDST). The von Kármán hypothesis is employed to incorporate geometric nonlinearity into mathematical modeling. After representing the kinetic and strain energies and the external work in matrix forms (in terms of displacement vector), the variational differential quadrature (VDQ) method is utilized to obtain the discretized form of the energy functional on the space domain. Then, the nonlinear governing equations are achieved via Hamilton’s principle. In the next step, a multistep numerical solution approach is employed to illustrate the influences of geometrical parameters, subtended angle, CNTs distribution scheme and volume fraction on the primary resonant characteristics of FG-CNTRC cylindrical panels. The results are provided for the panels with clamped and simply-supported boundary conditions (BCs).