Coupled free vibration of a functionally graded pre-twisted blade-shaft system reinforced with graphene nanoplatelets

2020 ◽  
pp. 113362
Author(s):  
Tian Yu Zhao ◽  
Lu Ping Jiang ◽  
Hong Gang Pan ◽  
Jie Yang ◽  
Sritawat Kitipornchai
Keyword(s):  
Free Vibration ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Shaft System ◽  
Twisted Blade

scholarly journals Parametric study on free vibration and instability of a functionally graded cracked shaft in a rotor-disc-bearing system: finite element approach

2018 ◽  
Vol 172 ◽  
pp. 03009 ◽  
Author(s):  
Debabrata Gayen ◽  
Debabrata Chakraborty ◽  
Rajiv Tiwari
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Functionally Graded ◽  
Outer Diameter ◽  
Open Crack ◽  
Fe Model ◽  
Internal Damping ◽  
Shaft System ◽  
Bearing System ◽  
Cracked Shaft

Free vibration and stability analysis are studied for a rotor-disk-bearing system having a radially functionally graded (FG) shaft with a transversely fully open crack, based on finite element (FE) approach. Both viscous and hysteretic internal damping are incorporated in the FE model of FG cracked shaft using two nodded Timoshenko beam element having four degrees of freedom (DOFs) at each node. Material properties of the FG cracked shaft are assumed temperature dependent and graded along radial direction following different material gradation law. FG shaft is made of two constituents material namely zirconia (ZrO2) and stainless steel (SS) where metallic (SS) contain is decreasing towards the outer diameter of the shaft. Extended Hamilton’s principle is employed to derive the system equations of motion (EOMs) of the FG cracked shaft system. A complete code is developed in MATLAB for correcting the formulation of modeling of crack and verified with existing published results. Influences of different material gradient index, temperature gradients, size and location of crack, viscous and hysteretic internal damping, slenderness ratio, and boundary condition on dynamic responses of the FG cracked shaft system are studied.

scholarly journals Coupled Free Vibration of Spinning Functionally Graded Porous Double-Bladed Disk Systems Reinforced with Graphene Nanoplatelets

Materials ◽  
2020 ◽  
Vol 13 (24) ◽  
pp. 5610
Author(s):  
Tianyu Zhao ◽  
Yu Ma ◽  
Hongyuan Zhang ◽  
Jie Yang
Keyword(s):  
Free Vibration ◽  
Distribution Pattern ◽  
Plate Theory ◽  
Synthesis Method ◽  
Coupled Model ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Width Ratio ◽  
Disk System ◽  
Bladed Disk

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.

Modeling and free vibration analysis of rotating hub-blade assemblies reinforced with graphene nanoplatelets

2021 ◽  
pp. 030932472098690
Author(s):  
Tian Yu Zhao ◽  
Ze Yu Jiang ◽  
Zhan Zhao ◽  
Li Yang Xie ◽  
Hui Qun Yuan
Keyword(s):  
Free Vibration ◽  
Synthesis Method ◽  
Free Vibration Analysis ◽  
Material Design ◽  
Weight Fraction ◽  
Mathematic Model ◽  
Graphene Nanoplatelets ◽  
Functionally Graded ◽  
Width Ratio ◽  
Graphene Nanoplatelet

This paper presents a new theoretical model for rotating elastic hub-blade assemblies, made of functionally graded (FG) graphene nanoplatelet (GPL) reinforced nanocomposites, and their free vibration characteristics are investigated. This model is the first attempt to include two elastic components simultaneously and consider the coupled effect. The Euler-Bernoulli beam theory and the Donnell’s shell theory are employed to establish the mathematic model of the blade and hub, respectively. The effective material properties, varying continuously along the thickness of the beam and cylindrical shell, are determined via the Halpin-Tsai micromechanics model and the rule of the mixture. The Lagrange’s equation is adopted to derive the equations of motion which are then solved by employing the substructure mode synthesis method and the Galerkin method. A parametric study is conducted to examine the effects of the rotating speed, graphene nanoplatelet distribution pattern, GPL weight fraction, length-to-thickness ratio and length-to-width ratio of graphene nanoplatelets (GPLs) and blade dimension on the natural frequencies of the nanocomposite rotor system, which will significantly benefit on the structural and material design of GPL reinforced hub-blade assembly.

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