Nonlinear vibration analysis of FG-GPLRC cylindrical panel with FG-GPLRC corrugated core

Abstract

This paper investigates the nonlinear vibration
behavior of FG-GPLRC cylindrical panels with an FGGPLRC corrugated core subjected to time-harmonic
loading. The corrugated core is modeled using an
equivalent homogenization technique based on Donnell
shell theory (DST). Within this framework, the nonlinear
equations of motion, accounting for geometric
nonlinearity of the von Kármán type, are derived using
the Lagrangian formulation and the Euler–Lagrange
equations. The dynamic responses of the panel are
obtained by employing the fourth-order Runge–Kutta
method. Numerical results indicate that the introduction
of a corrugated core significantly increases the natural
frequencies and reduces the vibration amplitudes
compared to panels with solid cores. In addition, the
effects of different graphene platelet distribution
patterns on the nonlinear vibration characteristics of FGGPLRC cylindrical panels are also examined and
discussed.