Effects of axial misalignment of rings on the dynamic characteristics of cylindrical roller bearings

Ye, Zhenhuan; Wang, Liqin

doi:10.1177/1350650115606945

Cited by 14 publications

(9 citation statements)

References 23 publications

(32 reference statements)

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“…The model proposed by Sunnersjö is a 2DOF model for bearing-rotor systems to study the varying compliance. This model and its modifications were later widely used in research by a large number of authors [5][6][7][8][9][10][11][12][13][14][15]. Mostly these are 2DOF models, however, 4DOF and 5DOF models were also used lately.…”

Section: Introductionmentioning

confidence: 99%

A Simplified Mathematical Model for the Analysis of Varying Compliance Vibrations of a Rolling Bearing

Tomović

2020

Applied Sciences

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In this paper, a simplified approach in the analysis of the varying compliance vibrations of a rolling bearing is presented. This approach analyses the generation of vibrations in relation to two boundary positions of the inner ring support on an even and an odd number of the rolling element of a bearing. In this paper, a mathematical model for the calculation of amplitude and frequency of vibrations of a rigid rotor in a rolling bearing is presented. The model is characterized by a big simplicity which makes it very convenient for a practical application. Based on the presented mathematical model a parametric analysis of the influence of the internal radial clearance, external radial load and the total number of rolling elements on the varying compliance vibrations of rolling bearing was conducted. These parameters are the most influential factors for generating varying compliance vibrations. The results of the parametric analysis demonstrate that with the proper choice of the size of the internal radial clearance and external radial load, the level of the varying compliance vibrations in a rolling bearing can be theoretically reduced to zero. This result opposes the opinion that varying compliance vibrations of rolling bearing cannot be avoided, even for geometrically ideally produced bearing.

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Section: Introductionmentioning

confidence: 99%

A Simplified Mathematical Model for the Analysis of Varying Compliance Vibrations of a Rolling Bearing

Tomović

2020

Applied Sciences

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“…Because the direction of the axial external load is along with X axis of the global coordinate, which is shown in Figure 5, the right-row rollers are compressed; on the contrary, the left-row rollers are uncompressed, so signs of Q leftÀi and Q rightÀi are opposite. Equations (17) and (18) can be solved by Newton-Raphson method. Firstly, input the initial radial and axial displacements of the inner ring, and calculate the flexibility coefficient and so on; then obtain the normal load of each roller; at last, compute the load equilibrium equations.…”

Section: Equilibrium Equations Of Loadmentioning

confidence: 99%

“…Firstly, input the initial radial and axial displacements of the inner ring, and calculate the flexibility coefficient and so on; then obtain the normal load of each roller; at last, compute the load equilibrium equations. If equations (17) and (18) meet the convergence condition, namely equation (19), the computation is over. " is convergent precision.…”

Section: Equilibrium Equations Of Loadmentioning

confidence: 99%

“…Nelias and Bercea 16 analyzed TRBs mechanical performance with a flexible shaft, namely the bearing was under the angular misalignment operating condition. Zhenhuan and Liqin 17 discussed the contact pressure distribution of cylindrical roller bearings (CRBs), considering the centroidal misalignment. The edge stress concentration caused by CRBs or TRBs finite length rollers and centroidal misalignment was analyzed by Park.…”

Section: Introductionmentioning

confidence: 99%

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Mechanical analysis of spherical roller bearings due to misalignments between inner and outer rings

Pei

et al. 2016

Proceedings of the Institution of Mechanical Engineers, Part C:

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This research presents a theoretical model to analyze the mechanical performance of spherical roller bearings, taking account of the angular and centroidal misalignments between the inner and outer rings. The angular misalignment can be improved by spherical roller bearings self-aligning feature to a certain degree. The interpolation method is used to determine the self-aligning contact angles of the different rollers. The centroidal misalignment is described by the angular and distance deviations. Non-Hertzian contact theory is applied to model and calculate the rollers load-distribution and total contact angles as well as the displacement of the inner ring. The loads of the rollers with the misalignments features and the external loads are included in the equilibrium equations, which is solved by Newton-Raphson method. This research shows spherical roller bearings self-aligning ability can balance the additional bending moment caused by the angular misalignment, which is at the cost of reducing its carrying capacity. But this carrying capacity will be improved to a certain degree by a proper axial load. It also illustrates that any kinds of centroidal misalignments are harmful for the service life of bearings. But the location of the misalignments can be roughly inferred by the external loads and the displacement of the inner ring, which is helpful for spherical roller bearings fault diagnose and elimination.

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“…1–3 In other words, the double-row self-aligning ball bearing commonly runs with angular misalignment, and the range of the tilting angle is from 0° to 3°. According to the published literature, 4–11 the angular misalignment directly affects the stiffness of the bearing, thus influences the dynamic behaviors of the rotor-bearing system. Therefore, it is essential to predict the stiffness of the bearing under angular misalignment operating condition.…”

Section: Introductionmentioning

confidence: 99%

Effect of angular misalignment on the stiffness of the double-row self-aligning ball bearing

Geng

Lin

2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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The double-row self-aligning ball bearing commonly runs with angular misalignment between the inner and outer rings, and the angular misalignment significantly affects the bearing performance. However, the effect of angular misalignment on the dynamic characteristics of the double-row self-aligning ball bearing has not been studied thoroughly. This paper investigates the effect of angular misalignment on the stiffness of the double-row self-aligning ball bearing. The quasi-static model for the double-row self-aligning ball bearing is established with five degrees of freedom, namely, three translational displacements along x, y, and z directions and two tilting angles around x-axis and y-axis. The internal clearance between balls and raceways is included in the presented model. The formulation of the three-dimensional stiffness matrix for the double-row self-aligning ball bearing is analytically derived, and is verified by comparing with the available dada in published literature. Finally, the stiffness of the double-row self-aligning ball bearing under various angular misalignment conditions is analyzed systematically. The results show that the tilting angles vary the contact angles and contact forces of the compressed balls in the double-row self-aligning ball bearing, thus affect the bearing stiffness; the bearing stiffness decreases with the internal clearance; the angular misalignment significantly impacts the stiffness of the bearing running at a low speed.

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Effects of axial misalignment of rings on the dynamic characteristics of cylindrical roller bearings

Cited by 14 publications

References 23 publications

A Simplified Mathematical Model for the Analysis of Varying Compliance Vibrations of a Rolling Bearing

A Simplified Mathematical Model for the Analysis of Varying Compliance Vibrations of a Rolling Bearing

Mechanical analysis of spherical roller bearings due to misalignments between inner and outer rings

Effect of angular misalignment on the stiffness of the double-row self-aligning ball bearing

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