Effects of Shaft Shape Errors on the Dynamic Characteristics of a Rotor-Bearing System

Sun, Fengrui; Zhang, Xianbiao; Wang, Xing; Su, Zhenzhong; Wang, Dong

doi:10.1115/1.4044083

Cited by 14 publications

(10 citation statements)

References 22 publications

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“…Wang et al [12,13] studied the axial and circumferential surface waviness of aerostatic journal bearings by using the finite difference method and linear perturbation theory, and the results show that the amplitude of surface waviness has a significant impact on the capacity, stiffness and damping of bearings. Sun et al [14] studied the effect of shaft shape errors on dynamic characteristics of a rotor-bearing system and the quantitative relationship between shaft shape errors and bearing reaction forces of the rotor-bearing system was obtained. Dimofte [15,16] pointed out that the three-wave bearing shows a better load capacity than the three-wave-groove bearing and the three-lobe bearing at any applied load and running regime, but the three-wave bearings are mare sensitive to the direction of the applied load than the other bearings.…”

Section: Introductionmentioning

confidence: 99%

Evaluation of the Influence of Shaft Shape Errors on the Rotation Accuracy of Aerostatic Spindle—Part 1: Modeling

Zhang

Zheng

et al. 2022

Electronics

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In the research on the aerostatic spindle, for quantifying the influence of shaft shape errors on its rotation accuracy, the calculation models of unbalanced air film force (UAFF) and centrifugal inertia force (CIF) are established. Based on the typical shape of the shaft, three composite cylinder models are constructed. The data sources are selected from the cylindricity measurement results of the shaft and substituted into the model for calculation. The results show that, for the shaft in this paper, when the roundness deviation is ≤1.25 μm and the cylindricity deviation is ≤2 μm, the influence of shape errors on the rotation accuracy of the shaft is small enough. The harmonic analysis of the data source shows that the magnitude and stability of the UAFF on the shaft are determined by the actual shape of the shaft’s cylindrical surface, and cannot be inferred only by the value of shape errors.

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Section: Introductionmentioning

confidence: 99%

Evaluation of the Influence of Shaft Shape Errors on the Rotation Accuracy of Aerostatic Spindle—Part 1: Modeling

Zhang

Zheng

et al. 2022

Electronics

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“…It can be found that the bearing performance remarkably deteriorated owing to the geometric imperfections. Sun et al [27] explored the impact of journal shape error on the stability parameters for the bearing system and experimentally obtained a quantitative relationship for shape error and bearing force. Recently, Chen et al [28] systematically evaluated the impact of manufacturing errors of bearing, rotor misalignment, and inertia on the characteristic parameters for bearings with air as a lubricant.…”

Section: Introductionmentioning

confidence: 99%

Effects of manufacturing errors and micro-groove surfaces on the static and dynamic characteristics of water-lubricated bearings

Shi

et al. 2023

Phys. Scr.

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In this paper, the effects of manufacturing error and micro-groove on the static, dynamic and stability characteristics of water-lubricated journal bearings (WLJBs) are investigated. Mathematical expressions of manufacturing errors and surface micro-groove are presented, and the Reynolds equations with steady and unsteady states are calculated by using the linear perturbative method and the finite difference technology. According to the developed model, the effects of the waviness magnitude, spatial number, and phase angle for circumferential errors, as well as the concavity, convexity, and taper for axial errors on the film thickness distribution, fluid pressure distribution, bearing capacity, coefficient of friction, side leakage flow rate, attitude angle, stiffness coefficient, damping coefficient, threshold speed and whirl frequency ratio of WLJBs are evaluated. Simulation results demonstrate that fluid film thickness distribution and fluid pressure distribution are significantly affected by manufacturing errors and micro-groove. Compared with axial manufacturing errors, circumferential manufacturing errors cause an inhomogeneous distribution of fluid pressure and morphological transformation in the high-pressure zone. The variation rules for the lubrication performance of bearings with circumferential waviness, concavity, convexity, and taper errors are not consistent at various eccentricity ratios. The magnitude of the concavity and taper errors may have an improving effect on the bearing performance, whereas circumferential waviness and convexity error play a negative role. Moreover, the micro-groove with partial distribution enhances the hydrodynamic effect in the bearing clearance. Numerical simulations can provide a valuable reference for the manufacturing and design of bearing systems.

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“…Both theoretical and experimental investigations have indicated that the shape error of the shaft can significantly affect the dynamic characteristics of bearings. 14,15 Al-Bender proposed a model based on small-amplitude perturbations to analyze the dynamic stability of air bearing systems and measured the dynamic stiffness on a test rig. 16 Jiang et al solved the first-order perturbation equations for the dynamic characteristics of annular porous gas thrust bearings and evaluated the effects of various bearing parameters on the dynamic characteristics.…”

Section: Introductionmentioning

confidence: 99%

Influence of shape errors and inertia effects on the error motion of the aerostatic spindle

Zhang,

Zheng,

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part J:

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In this study, an extended Reynolds equation incorporating the shape errors and the inertia effects of compressible fluid was formulated. The pressure-solving equation for the gas film was constructed using a second-order finite difference method. By combining the measurement data from the cylindricity of multiple shafts obtained from a cylindricity measuring instrument, the variation of the aerostatic bearing load capacity with the rotation of the shaft was calculated, both with and without considering the inertia effect. An experimental rig was also constructed to measure the error motion data of the corresponding shaft. The results of numerical analysis and experimental validation demonstrated that shafts with larger cylindricity error values exhibit greater deviations in the calculated bearing load capacity, which correspondingly leads to larger radial error motion values measured in the experiment. When the roundness error value of the shaft is small or the shaft speed is low, the influence of inertial effects on the calculation results of the load capacity deviation is minimal and can generally be disregarded.

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Effects of Shaft Shape Errors on the Dynamic Characteristics of a Rotor-Bearing System

Cited by 14 publications

References 22 publications

Evaluation of the Influence of Shaft Shape Errors on the Rotation Accuracy of Aerostatic Spindle—Part 1: Modeling

Evaluation of the Influence of Shaft Shape Errors on the Rotation Accuracy of Aerostatic Spindle—Part 1: Modeling

Effects of manufacturing errors and micro-groove surfaces on the static and dynamic characteristics of water-lubricated bearings

Influence of shape errors and inertia effects on the error motion of the aerostatic spindle

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