Vibration analysis of spinning porous cylindrical shell coupled with multiple plates assembly structures reinforced by graphene nanoplatelets

Spinning thin-walled drum coupled with multiple blades assembly structures are commonly used in modern rotor systems, where the blade and drum could be established by elastic plate model and cylindrical shell model in theory, respectively. This paper conducted theoretical modelling and vibration analysis of a spinning drum (cylindrical shell) coupled with four blades (plates) assembly. To improve its mechanical performance, this rotor system is considered to be made up of foamed metal matrix and graphene nanoplatelet (GPL) reinforcement. Graphene nanoplatelets (GPLs) are dispersed into the matrix along the thickness directions of the cylindrical shell and plates. And both uniform and non-uniform distributions of GPLs and porosity coefficients are taken into account in this paper. The substructure modal synthesis method with various interfaces is adopted to establish the coupled model of multiple plates-cylindrical shell assembly. By employing the Lagrange's equation and the assumption mode method, the equations of motion are derived. The presented theoretical model and the obtained free vibration results are validated by the finite element method. A comprehensive discussion is carried out to examine the effects of the spinning speed, GPL distribution pattern, GPL weight fraction, length-to-thickness ratio and length-to-width ratio of GPLs, porosity distribution pattern, and porosity coefficient on the vibration behaviours of the multiple plates-cylindrical shell assembly.