Abstract
This paper investigates the coupled modeling method and free vibration characteristics of a graphene nanoplatelet (GPL) reinforced blade-disk rotor system in which the blade has a pre-twist angle and setting angle. Based on the Kirchhoff plate theory and the Euler–Bernoulli beam theory, the theoretical model of the rotating blade-disk assembly is carried out accurately. The effective material properties of the blade and disk are assumed to vary continually along their thickness directions and are determined via the Halpin–Tsai micromechanics model together with the rule of mixture. The coupled equations of motion are derived in accordance with the Lagrange's equation. Then, the substructure modal synthesis method and the Galerkin method are employed to calculate the free vibration results of the rotor. Additionally, the effects of the rotating speed, GPL distribution pattern, GPL weight fraction, length-to-thickness ratio and length-to-width ratio of GPLs, inner and outer radius of the disk, and pre-twist angle per unit length, setting angle and length of the blade on free vibration characteristics of the rotating blade-shaft assembly are discussed in detail.
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