Chebyshev-PEM approach for the stochastic dynamic analyses of FG-GPLRC annular plate

Abstract

In this article, stochastic dynamic of functionally graded graphene nanoplatelet-reinforced composite (FG-GPLRC) annular plate is investigated based on FSDT, and two types of stochastic acceleration loads containing band-limited white noise as well as aerospace-specific power spectrum are considered. The effective material parameters of FG-GPLRC annular plate are evaluated by Halpin–Tsai model and mixture rule. To simplify the material modeling, each layer is assumed to be isotropic. The displacement and rotation formulations are expressed with the aid of Chebyshev approach; then, the characteristic equation is derived using the minimum energy principle. Adopting pseudo-excitation method (PEM), stochastic response results are obtained. To verify the accuracy of the proposed model, the comparisons of free and stochastic vibration results are conducted in this paper. Additionally, groups of parametric studies are performed to examine effects of GPLs weight fraction, GPLs dimension and test point on the stochastic vibration results of the FG-GPLRC annular plate.