Large amplitude vibration and bistable jump of functionally graded graphene-platelet reinforced porous composite plates

Using high-performance lightweight functionally graded graphene-platelet reinforced (FG-GPLR) porous composite plates opens up an avenue for a new generation of structural and material designs, which could be tailored to the need of specific applications. Consider the von Karman plate model with geometrical nonlinearity, the equation of motion can be formulated. The Halpin − Tsai model is employed to predict the elastic properties of FG-GPLR porous composite plates. The moving Kriging interpolation mesh-free computational framework, which is confirmed to have high computing performance in terms of accuracy, convergence and robustness, is used to discretize the nonlinear vibration equation. Then, the linearized updated mode (LUM) method is used to obtain iterative solutions. An intensive work, investigating the influence of boundary constraints, porosity distributions, graphene platelets (GPLs), and vibration amplitudes, is conducted. It is found that a continuous increase in the amplitude parameter ultimately yields an abrupt change of the fundamental frequency, inducing a bistable vibration mode jump phenomenon. The present results can provide useful guidelines for the application design of nano-reinforced composite structures.