Dynamic modeling and analysis of high-speed rotating composite piezoelectric plates based on referenced nodal coordinate formulation

High-speed rotating composite blades are widely used in various fields, including aircraft engines, centrifugal compressors, and helicopter rotors. This work aims to develop a computationally efficient and accurate modeling framework for analyzing the nonlinear dynamic behavior of rotating graphene platelet-reinforced metal foam (GPLRMF) piezoelectric blades. The quadrilateral blade is modeled using the referenced nodal coordinate formulation (RNCF), which automatically decouples translational, rotational, and deformation degrees of freedom. The effective material properties of the GPLRMF plate are derived using the modified Halpin-Tsai model. The proposed method exhibits significantly higher efficiency and accuracy than the conventional absolute nodal coordinate formulation (ANCF), achieving computational speeds over two orders of magnitude faster. Additionally, the effects of GPL (graphene platelets) distributions, rotational speed, piezoelectric properties, and geometric parameters are thoroughly investigated. The developed framework provides a practical and reliable tool for efficiently analyzing high-speed rotating piezoelectric structures in engineering contexts.