Abstract
This paper presents, for the first time, the mechanical model and theoretical analysis of free vibration of a spinning functionally graded graphene nanoplatelets reinforced composite (FG-GPLRC) porous double-bladed disk system. The nanocomposite rotor is made of porous metal matrix and graphene nanoplatelet (GPL) reinforcement material with different porosity and nanofillers distributions. The effective material properties of the system are graded in a layer-wise manner along the thickness directions of the blade and disk. Considering the gyroscopic effect, the coupled model of the double-bladed disk system is established based on Euler–Bernoulli beam theory for the blade and Kirchhoff’s plate theory for the disk. The governing equations of motion are derived by employing the Lagrange’s equation and then solved by employing the substructure mode synthesis method and the assumed modes method. A comprehensive parametric analysis is conducted to examine the effects of the distribution pattern, weight fraction, length-to-thickness ratio, and length-to-width ratio of graphene nanoplatelets, porosity distribution pattern, porosity coefficient, spinning speed, blade length, and disk inner radius on the free vibration characteristics of the FG-GPLRC double-bladed disk system.
Highlights
Spinning bladed disk rotor systems are the core components in many rotary machines in helicopter rotor, ship power propulsion system, engineering agitator, and so on [1,2,3,4,5,6]
The coupled free vibration behavior of a spinning FG-GPLRC porous doublebladed disk system has been investigated for the first time
Based on Euler–Bernoulli beam theory and Kirchhoff plate theory, the equations of motion are derived by adopting the Lagrange equation method, which are solved by the substructure mode synthesis method and the assumed modes
Summary
Spinning bladed disk rotor systems are the core components in many rotary machines in helicopter rotor, ship power propulsion system, engineering agitator, and so on [1,2,3,4,5,6]. Bai et al [9] employed an extremum response surface method-based improved substructural component modal synthesis to study the vibration behavior of a mistuned bladed disk structure. These previous studies showed that a continuous increase in the spinning speed frequently leads to excessive vibration of the system. It has been well accepted that the use of advanced materials is one of the effective ways to improve the mechanical performance of the bladed disk rotor system to avoid undesired vibration. By using the finite element method, Tam et al. GPL-reinforced beams, withona the particular focus on theof effects of open edge cracks employing the element-free. The obtained results are of practical significance of significance for the design of porous double-bladed disk systems
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