Free Vibration Analysis of Functionally Graded Shaft System with a Surface Crack

Gayen, Debabrata; Chakraborty, Debabrata; Tiwari, Rajiv

doi:10.1007/s42417-018-0065-9

Cited by 26 publications

(13 citation statements)

References 18 publications

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“…Figure 6. shows that the radial variations of the material properties obtained are in good agreement with the plots obtained from the works from the literature [18]. Further, the verification of material gradation generated using code has been carried out for exponential law.…”

Section: Code Validationsupporting

confidence: 82%

“…Gayen and Roy [17] work deal with the study of vibration and stability analysis of a functionally graded spinning shaft system using a three-noded beam element based on the Timoshenko beam theory. Gayen et al [18,19] carried out free vibration analysis of functionally graded (FG) nonspinning simply supported shaft having a transverse surface crack and analyzed whirl frequencies and critical speed of the rotor system with transverse crack by FE formulation using two noded Timoshenko beam elements. Recently an attempt has been made by Arnab and Prabhakar [20] on threedimensional solid modelling of FG rotor systems.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Thermal Gradient on Vibration Characteristics of a Functionally Graded Shaft System

Bose¹,

Sathujoda²

2020

MMEP

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The study aims to investigate the vibration characteristics of ceramic-based functionally graded materials (FGM) when subjected to dynamic conditions. Effect of thermal gradients on natural frequencies of rotating FG shafts has been investigated using three dimensional (3D) solid elements which is rarely found in literature. The FG material used in the work has metal and ceramic as its constituents. Three-dimensional finite element modelling and analysis of the FG shaft system has been carried out using ANSYS software to determine the natural frequencies with proper validations. The study involves modelling of the shaft using two different material laws; power-law and exponential law. Continuous variation of material properties is achieved using a Python code that discretizes the shaft radially and applies the position-dependent material properties. The shaft has been subjected to different thermal environments by applying temperature gradients accordingly. Thermal gradation is achieved using two different methods, nonlinear temperature distribution (NLTD) and exponential temperature distribution (ETD). Effects of material gradation on the fundamental frequencies of the shaft is presented. The variations due to different material laws and thermal gradients are also identified. The whirl frequencies have been determined for the rotating shaft system. The effect of material gradation laws and temperature gradients on separation of the frequencies at rotating speeds is determined. Attempts have been made to obtain suitable reasons for the behaviours based on the material properties. The obtained results show the influence of material gradation methods, power-law index, and temperature gradients on vibration characteristics of the ceramic-based FG shaft system. Furthermore, the reasons of the variations are also discussed in detail.

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Section: Code Validationsupporting

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Effect of Thermal Gradient on Vibration Characteristics of a Functionally Graded Shaft System

Bose¹,

Sathujoda²

2020

MMEP

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“…The first second natural frequencies are obtained for nonrotating simply supported FG shaft composed of SUS304 and Al 2 O 3 with power-law coefficient = 0.5 and ⁄ ratio as 12.5. The radius of the shaft is taken as 0.04 m and the corresponding length is 1 m. The obtained natural frequencies have been compared with works of Gayen et al [11], on an uncracked shaft of the same dimension and material. The temperature has been taken as room temperature and the results showed significant agreement as shown in Table 1.…”

Section: A Nonrotating Simply Supported Fg Shaft -3d Fe Model Validationmentioning

confidence: 99%

Natural frequency analysis of a functionally graded rotor system using three-dimensional finite element method

Bose¹,

Sathujoda²

2019

Vib. proced.

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Three-dimensional Finite Element (FE) analysis has been carried out using ANSYS software to study the natural frequencies of functionally graded (FG) rotor system. Temperature and position-dependent material properties of the FG shaft system are considered to be graded in the radial direction. Power-law with the nonlinear temperature distribution (NLTD) and exponential law with exponential temperature distribution (ETD) have been used to model the material gradation and temperature distribution. Rotor systems of two different FG materials, namely Stainless Steel-ZrO2 and Stainless Steel-Al2O3 have been studied. Python codes have been developed to generate ANSYS macros that apply the material properties. Simply supported FG shaft and FG rotor system supported on bearings have been analyzed in the current work. The results show the influence of different power-law coefficients, different material and material laws on the natural frequencies of the rotor system. The effect of these parameters on whirl frequencies has also been studied for FG rotor systems.

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“…The effect of thermal gradients on the natural frequencies of functionally graded rotor-bearing systems is investigated by Bose and Sathujoda [26]. The natural frequency of the FG rotor-bearing system for different temperature gradients is analysed by Gayen et al [27]. Gayen et al [28] also analysed the influence of temperature gradients on the whirl frequencies of a cracked rotor.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of a Thermally Loaded Porous Functionally Graded Rotor–Bearing System

et al. 2020

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The present work deals with natural and whirl frequency analysis of a porous functionally graded (FG) rotor–bearing system using the finite element method (FEM). Stiffness, mass and gyroscopic matrices are derived for porous and non-porous FG shafts by developing a novel two-noded porous FG shaft element using Timoshenko beam theory (TBT), considering the effects of translational inertia, rotatory inertia, gyroscopic moments and shear deformation. A functionally graded shaft whose inner core is comprised of stainless steel (SS) and an outer layer made of ceramic (ZrO2) is considered. The effects of porosity on the volume fractions and the material properties are modelled using a porosity index. The non-linear temperature distribution (NLTD) method based on the Fourier law of heat conduction is used for the temperature distribution in the radial direction. The natural and whirl frequencies of the porous and non-porous FG rotor systems have been computed for different power law indices, volume fractions of porosity and thermal gradients to investigate the influence of porosity on fundamental frequencies. It has been found that the power law index, volume fraction of porosity and thermal gradient have a significant influence on the natural and whirl frequencies of the FG rotor–bearing system.

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Free Vibration Analysis of Functionally Graded Shaft System with a Surface Crack

Cited by 26 publications

References 18 publications

Effect of Thermal Gradient on Vibration Characteristics of a Functionally Graded Shaft System

Effect of Thermal Gradient on Vibration Characteristics of a Functionally Graded Shaft System

Natural frequency analysis of a functionally graded rotor system using three-dimensional finite element method

Free Vibration Analysis of a Thermally Loaded Porous Functionally Graded Rotor–Bearing System

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