Nonlinear dynamics and chaos of a nanocomposite plate subjected to electro–thermo–mechanical loads using Flügge–Lur’e–Bryrne theory

Abstract

The study investigates nonlinear vibration of functionally graded carbon nanotube–reinforced polymer plate subjected to electro–thermo–mechanical loads resting on elastic foundations by an analytical approach. Uniform and functionally graded carbon nanotubes are used to reinforce through the thickness of the plate. Furthermore, a piezoelectric layer is perfectly bonded to the top of the plate to act as an actuator. The equations of motion are derived by the Flügge–Lur’e–Bryrne theory and then applying the Galerkin method to solve differential equations. The dynamical responses such as time history, phase plane graphs, and Poincaré map are carried out in this study. In addition, the effects of environment, materials, and geometry are scrutinized. The obtained results are also compared and validated with those of other studies.