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

Bose, Arnab; Sathujoda, Prabhakar

doi:10.21595/vp.2019.21099

Cited by 11 publications

(7 citation statements)

References 11 publications

(18 reference statements)

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“…Different analyses have been carried out including the Campbell diagram, stability speed limit and damping ratio. Bose and Sathujoda [ 18 ] performed a natural frequency analysis of a functionally graded rotor system using a three-dimensional finite element model developed using ANSYS (ANSYS 18.0, ANSYS, Canonsburg, PA, USA). Furthermore, Bose and Sathujoda [ 19 ] extended this work and studied the effects of thermal gradients on the vibration characteristics of an FG rotor-bearing system.…”

Section: Introductionmentioning

confidence: 99%

Effect of Corrosion on the Natural and Whirl Frequencies of a Functionally Graded Rotor-Bearing System Subjected to Thermal Gradients

et al. 2020

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Corrosion causes a loss of material resulting in the reduction of mass and stiffness of a component, which consequently affects the dynamic characteristics of any system. Fundamental frequency analysis of a corroded functionally graded (FG) rotor system, using the finite element method based on the Timoshenko beam theory, was investigated in the present paper. The functionally graded shaft consisting of an inner metallic core and an outer ceramic layer was considered with the radial gradation of material properties based on the power law. Nonlinear temperature distribution (NLTD) based on the Fourier law of heat conduction was used to simulate the thermal gradient through the cross-section of the FG rotor. The finite element formulation for a functionally graded shaft with a corrosion defect was developed and the dynamic characteristics were investigated, which is the novelty of the present work. The corrosion parameters such as length, depth and position of the corrosion defect in the shaft were varied and a parametric study was performed to investigate changes in the natural and whirl frequencies. An analysis was carried out for different power indexes and temperature gradients of the functionally graded shaft. The effects of corrosion were analysed and important conclusions are drawn from the investigations.

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Section: Introductionmentioning

confidence: 99%

Effect of Corrosion on the Natural and Whirl Frequencies of a Functionally Graded Rotor-Bearing System Subjected to Thermal Gradients

et al. 2020

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“…Few works were detailed on functionally graded rotor-bearing systems in the literature. Bose and Sathujoda [13] performed the free vibration analysis to investigate the natural frequencies of an FG rotor-bearing system using the three-dimensional finite element method. Since the FGMs can withstand high temperatures, the influence of temperature gradient on FG structures and rotating systems must be considered.…”

Section: Introductionmentioning

confidence: 99%

Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack

et al. 2022

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The dynamic behaviour of a slant-cracked exponentially graded (EG) rotor-bearing system has been investigated using the finite element method for flexural vibrations. A two nodded EG rotor element has been developed based on the Timoshenko beam theory. Local flexibility coefficients (LFCs) of a slant-cracked EG shaft element have been derived using fracture mechanics concepts to develop the stiffness matrix of a cracked EG element. The steady-state and transient vibration responses of cracked and uncracked rotor systems have been simulated using the Houbolt time marching method. When a crack is present in the shaft, the subharmonic frequency peaks are centred on operating speed in the steady-state frequency responses, whereas on critical speed in the transient frequency responses at an interval frequency corresponding to the torsional frequency. It has been found that the crack parameters such as crack depth and location, temperature gradients and torsional frequencies have a significant influence on natural frequencies and dynamic responses, which could be implemented for efficient rotor crack detection methodologies.

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“…Based on the numerical solution of the Reynolds equation and the analytical description of the resulting variables, the model was finally applied to the virtual turbocharger assembled in the multibody system [8]. Bose et al (2019) modelled material-level matching and temperature distribution using NLTD (Nonlinear Temperature Distribution,) and ETD (Exponential Temperature Distribution), and studied two different FG (Functionally Graded) materials, stainless steel-ZrO2 and stainless steel-Al2O3 rotor systems. The results showed that different idempotent coefficients, materials and laws of materials affected the natural frequency of rotor systems [9].…”

Section: Introductionmentioning

confidence: 99%

“…Bose et al (2019) modelled material-level matching and temperature distribution using NLTD (Nonlinear Temperature Distribution,) and ETD (Exponential Temperature Distribution), and studied two different FG (Functionally Graded) materials, stainless steel-ZrO2 and stainless steel-Al2O3 rotor systems. The results showed that different idempotent coefficients, materials and laws of materials affected the natural frequency of rotor systems [9]. Bouzidi et al (2020) analysed the dynamic characteristics of the functional gradient rotor-blade system using the finite element method, modelled the rotor-blade system using the Euler-Bernoulli beam theory, and finally discussed the effect of power-law distribution on the inherent frequency of the rotor-blade system.…”

Section: Introductionmentioning

confidence: 99%

Construction of a Rotor Radial Vibration Model of Emu Electromechanical Energy Conversion Equipment Using the Finite Element Method

2021

IJOMAM

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In the fast-increasing speed of EMUs (Electric Multiple Units), the stability, reliability and smoothness of the EMUs in operation are guaranteed by exploring the rotor vibration model of the traction motor equipment of the EMUs. The finite element model of the rotor is constructed using the finite element algorithm, and the rotor model is used to simulate the rotor of the traction motor according to the radial vibration. The influence of factor changes on the vibration characteristics of the rotor system is discussed. Finally, the radial vibration effect on the rotor under the influence of various factors is explored through simulation. The results show that in the bending mode analysis of the rotor system, the rotor presents four bending modes; in the analysis of the influence factors of the radial vibration of the rotor system, the angle of unbalanced magnetic pull, the angle of rotor gravity, and the angle of rotor bending stiffness are compared. The analysis of the influence of the radial vibration of the rotor shows that the unbalanced magnetic tension increases the amplitude of the rotor and reduces the natural frequency of the radial vibration of the rotor system. The radial dimension of the axis track and the displacement spectrum has no significant difference with or without gravity. When the position of the axis track is relatively static, the offset distance of the rotor centre decreases with the increase of stiffness. When the rotation frequency component is 0.8k0, the amplitude is the largest; in the bending-torsion coupling analysis, the largest amplitude is the torsional vibration of the external torque frequency of the excitation, around 840. Therefore, it is found that radial load leads to torsional vibration of multiple frequencies in the torsional vibration of the rotor, and torsional load also causes bending torsional vibration of multiple frequencies in the torsional vibration of the rotor, which provides a reference for later vibration analysis of the rotor in the traction motor of EMU.

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

Cited by 11 publications

References 11 publications

Effect of Corrosion on the Natural and Whirl Frequencies of a Functionally Graded Rotor-Bearing System Subjected to Thermal Gradients

Effect of Corrosion on the Natural and Whirl Frequencies of a Functionally Graded Rotor-Bearing System Subjected to Thermal Gradients

Steady State and Transient Vibration Analysis of an Exponentially Graded Rotor Bearing System Having a Slant Crack

Construction of a Rotor Radial Vibration Model of Emu Electromechanical Energy Conversion Equipment Using the Finite Element Method

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