▎ 摘 要
This paper presents a study on the modelling and free vibration analysis of a rotating functionally graded (FG) porous blade-disk-shaft assembly reinforced with graphene nanoplatelets (GPLs) resting on elastic supports. The rotor is made of graphene nanoplatelet (GPL) reinforced porous foam metal matrix. Both uniform and non-uniform distributions of GPLs and pores in the rotating assembly are considered. The effective material properties are thought of as layered change along the directions of blade thickness, disk radius and shaft radius. Moreover, the material values of this functionally graded structure are determined via the open-cell scheme, the Halpin-Tsai model together with the rule of mixtures. According to the finite element (FE) method, the modelling and free vibration analysis of the nanocomposite blade-disk-shaft rotor system is conducted. To verify the present analysis, the experimental method is adopted. The FE results and experimental results have great match with each other. Special attention is paid to the effects of the rotating speed, GPL distribution pattern, GPL weight fraction, length-to-width ratio and length-to-thickness ratio of GPLs, porosity distribution, porosity coefficient and support stiffness. The obtained conclusions can give particularly important suggestions for the design of GPL reinforced porous blade-disk-shaft rotor systems to achieve advanced mechanical performance.