Calculation of Kinematics and Friction of a Spindle Bearing Using a Local EHL Friction Model

Brecher, Christian; Bäumler, Stephan; Rossaint, Jens

doi:10.1080/10402004.2012.740149

Cited by 9 publications

(6 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is noticeable from the Fig.9a that, for pure EBO and EBO with 0.5 wt.% graphene lubrication, the average friction coefficient decreased gradually with the increase in rotational speed. This may be because of the higher frictional velocity, contributing to the decrease of the kinematic viscosity of EBO [34]. In case the EBO and graphene would have entered into the frictional interface to reduce the friction coefficient.…”

Section: Influence Of Load and Rotational Speed On Tribological Behaviormentioning

confidence: 96%

Synergistic lubricating behaviors of graphene and MoS2 dispersed in esterified bio-oil for steel/steel contact

Peng

Dearn

et al. 2015

Wear

132

View full text Add to dashboard Cite

Graphene and MoS 2 were dispersed in Esterified Bio-Oil (EBO) and evaluated as lubricants for steel/steel contact. The tribological behaviors of steel/steel pairs were investigated under lubrication of graphene/MoS 2 blends with different mass ratios, loads and rotating speeds.The micro-morphologies of the worn surfaces were observed by optical and Scanning Electron Microscopy (SEM). The components of the additives and chemical valences of the elements on the rubbed surfaces were analyzed using Raman and X-ray Photoelectron Spectroscopy (XPS). A synergistic lubricating effect for both graphene and MoS 2 with contents of 0.5 wt.% as additives dispersed in EBO was observed that reduced the friction coefficient and wear of the steel specimens under boundary lubrication regime conditions. This was ascribed to the formation of a thicker adsorbed tribo film containing graphene, MoS 2 and organics from the EBO. Graphene was shown to improve the retention of MoS 2 on the frictional surfaces and prevent oxidation during rubbing.MoS 2 , on the other hand, prevented the graphene from being ground into small and defective platelets. Corresponding author. Tel/

show abstract

Section: Influence Of Load and Rotational Speed On Tribological Behaviormentioning

confidence: 96%

Synergistic lubricating behaviors of graphene and MoS2 dispersed in esterified bio-oil for steel/steel contact

Peng

Dearn

et al. 2015

Wear

132

View full text Add to dashboard Cite

show abstract

“…The cage-induced normal force F B−CP n , acting on the ball, has to be counterbalanced by the frictional forces between the ball and the inner and outer raceway (Eq. [7]). …”

Section: Theory and Calculationsmentioning

confidence: 93%

“…Assuming that l 1 ≈ l 2 ≈ D 2 , the friction force acting on the inner ring due to cage friction can be obtained from Eqs. [7] and [8], resulting in Eq. [9].…”

Section: Theory and Calculationsmentioning

confidence: 99%

“…For bearings operating under high speeds, churning losses due to the friction between rotating bearing elements and the lubricant air flow in the bearing might be substantial. Brecher, et al (7) introduced a new method for calculating the overall frictional losses in high-speed spindle bearings due to relative motions in the contact ellipses (i.e., spinning and rolling friction). By assuming that the balls have 6 degrees of freedom, the equilibrium of torques and forces acting on the balls can be calculated.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Cage Friction in High-Speed Spindle Bearings

Brecher

Hassis

Rossaint

2013

Tribology Transactions

Self Cite

View full text Add to dashboard Cite

Friction-induced heat is one of the main reasons for the upper speed limit of high-speed angular contact ball bearings (spindle bearings). One source of friction inside the bearing is the cage. In this article, it is shown through experimental results that the frictional losses due to the cage are of significant magnitude. Based on measurements, a new, simple calculation model is proposed to estimate the cage induced frictional losses in spindle bearings under high rotational speed with minimal lubrication. The cage is assumed to rotate eccentrically around the bearing's axis and to be in contact with the outer ring at just one position. One single ball at the same position is assumed to drive the cage. Thereby, the friction between the cage and the outer ring is transformed in a breaking torque for the inner ring and the shaft. Both the cage outer ring contact and the ball cage contact are handled according to Coulomb's law of friction. Despite its simplicity, this model shows a close correlation with experimental results. Consideration of the centrifugal and thermal expansion provides insight into the relation between cage clearance and cage friction and hence allows for the development of new cage designs. Finally, the design and experimental results of optimized cages made of polyether ether ketone (PEEK) are presented.

show abstract

“…In addition, neither of these models take into account the influence of the cage design. The authors of [21] developed a new method of calculating bearing friction that included its kinematics based on the model of the elastohydrodynamic theory of lubrication. Varying the kinematics parameters (speed of the rolling elements and the cage) directly changes the interaction forces of the bearing parts, which determine the frictional moment of the bearing.…”

Section: Introductionmentioning

confidence: 99%

A Systematic Approach for Energy-Efficient Design of Rolling Bearing Cages

et al. 2023

View full text Add to dashboard Cite

Several aspects must be considered in the design of rolling bearing cages. One of the most important considerations relates to studying and developing a stationary approach for solving problems of heat and mass transfer during convection. In this context, this paper proposes, among other achievements, the development and validation of a model of heat generation that is used, as the basis for an energy-efficient cage design in the context of the roller bearings of axle boxes for rail transport. The forces of interaction of the cage with the bearing parts are determined. The energy-efficient design of the cage is performed with modified friction surfaces in the form of convex contours of the pockets and micro-hollows on the surfaces of the pockets and support rings. On the basis of a flat model, of the interaction between the cage and the bearing parts, the pressure forces on the driving and driven rolling elements in the zone of radial loading are determined. The frictional moment of the bearing has been determined based on the integral design of the cage without taking into account lubrication during the interaction of the cage with the jumpers and with the sides of the basing ring. The calculation of the temperature gradient with standard and improved designs of bearing cages has been performed while taking air blowing into account; results showed a decrease in the average level and growth rate of the bearings’ temperature gradient with an energy-efficient cage design. Based on the obtained results, and on the developed heat generation model, a systematic approach for energy-efficient design of rolling bearing cages is proposed. The proposed approach, as well as the respective developed models, were validated by obtaining and analyzing the experimental results.

show abstract

Calculation of Kinematics and Friction of a Spindle Bearing Using a Local EHL Friction Model

Cited by 9 publications

References 10 publications

Synergistic lubricating behaviors of graphene and MoS2 dispersed in esterified bio-oil for steel/steel contact

Synergistic lubricating behaviors of graphene and MoS2 dispersed in esterified bio-oil for steel/steel contact

Cage Friction in High-Speed Spindle Bearings

A Systematic Approach for Energy-Efficient Design of Rolling Bearing Cages

Contact Info

Product

Resources

About