Formulation of five degrees of freedom ball bearing model accounting for the nonlinear stiffness and damping of elastohydrodynamic point contacts

Bizarre, Letícia; Nonato, Fábio; Cavalca, Kátia Lucchesi

doi:10.1016/j.mechmachtheory.2018.03.001

Cited by 91 publications

(29 citation statements)

References 31 publications

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“…where δ 0 is the initial fit clearance between the outer ring and pedestal at T 0 . e interactions between the balls, the cage, and the inner ring can be obtained in [25], and the contact between the outer ring and the pedestal can be obtained through equations (1)- (10). e fit clearance between the outer ring and the pedestal makes impact on the vibration of the outer ring and leads to the change of interactions of the bearing components.…”

Section: Ermal Deformation Of the Pedestal And Outer Ringmentioning

confidence: 99%

“…It can be seen from Figure 4 that the thermal deformation of the outer ring is much smaller than that of the pedestal and the fit clearance has an increase of 0.38 mm when the temperature comes to 600 K. Assuming that the pedestal is fixed, the radial vibration of the outer ring is studied. e axial preload of the bearing is 1000 N, and the radial load applied on the inner ring is 100 N. e responses of the outer ring can be obtained through equations (8)- (10), and the thermal-related fit clearance derived from equations (11)-(20) can be substituted as boundary conditions. e velocity of the outer ring can be used as the indicator and is expressed as…”

Section: Numerical Simulationmentioning

confidence: 99%

“…e results indicated that a small preload led to the decrease of the loaded ball number, and a high preload also produced additional loads on balls; both conditions had negative effects on bearing service life [9]. Bizarre et al derived a complete nonlinear model of an angular contact ball bearing with the effect of elastohydrodynamic lubrication and proposed the equivalent parameters for stiffness and damping [10]. Kerst et al proposed a semianalytical bearing model addressing flexibility of the bearing outer race structure and found that the effect of flexibility affected the dynamic response of the bearing by changing the shape and stiffness of the bearing [11].…”

Section: Introductionmentioning

confidence: 99%

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Effect of Thermal‐Related Fit Clearance between Outer Ring and Pedestal on the Vibration of Full Ceramic Ball Bearing

Shi

Bai

Zhang³

et al. 2019

Shock and Vibration

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Full ceramic bearing can work under a wide range of temperatures, but the thermal deformation difference between the ceramic outer ring and steel pedestal has a great increase with the rise of temperature and leads to obvious impact and friction. In this paper, the thermal deformation difference is considered and the fit clearance is taken as the boundary condition of the dynamic model. Investigations on the dynamic response of the outer ring are conducted, and the effect of thermal-related fit clearance is analyzed at different working temperatures and rotation speeds through parametric study and experiments. Results show that the vibration of the outer ring grows with the temperature and shows different changes with rotation speed as the temperature changes. The variation of working temperature brings difference in the interactions between the outer ring and the pedestal, and the trends of vibration with rotation speed also change at different temperatures. Impact and friction make great contributions to the interactions between the outer ring and the pedestal and show different changes with temperature. This study puts forward a method for the calculation of bearing vibration at variable temperatures and provides theoretical basis for the application of the full ceramic bearings.

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Section: Ermal Deformation Of the Pedestal And Outer Ringmentioning

confidence: 99%

Section: Numerical Simulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Effect of Thermal‐Related Fit Clearance between Outer Ring and Pedestal on the Vibration of Full Ceramic Ball Bearing

Shi

Bai

Zhang³

et al. 2019

Shock and Vibration

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“…About the performance analysis of high-speed angular contact ball bearings, currently, there are five types of dynamic analytical models for rolling bearings, namely the lumped-parameter, quasi-static, quasidynamic, dynamic, and finite element models [4]. Nowadays, many scholars have studied the effects of preload [5], stiffness [6], contact angle [7], raceway surface roughness [8], and waviness [9] on the dynamic characteristics of the bearing in particular, as well as skidding behavior [10,11]. Zhang et al [12] researched the impact of lubricant traction coefficient on cage's dynamic characteristics in high-speed angular contact bearing, and the stability of cage under various working conditions was assessed by the slip ratio of cage.…”

Section: Introductionmentioning

confidence: 99%

Research on sound field characteristics of full-ceramic angular contact ball bearing

Yan

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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This paper focuses on the distribution characteristics of the radiation noise for a full-ceramic angular contact ball bearing (FCACBB). A model for calculating the radiation noise of a FCACBB was established based on the bearing dynamic characteristics and sound radiation theory, and the effectiveness and accuracy of the method were verified by corresponding experiments. The variation of the radiation noise for a FCACBB with the rotational speed was analyzed. The directivity of the sound field in the circumferential direction was found. The variation trends of the radiation noise in the friction load zone and the impact load zone were discussed. The attenuation of the radiation noise in the radial direction and in the axial direction was investigated. The directivity angle and the degree of directivity of the sound field were explored at different radial and axial distances. The results show that the inhomogeneous contacts between the bearing components in the circumferential direction result in different degrees of friction and impact vibration at different locations, which makes the radiation noise of the FCACBB have a larger component in the radial direction than in the axial direction. The conclusions can provide a reference for predicting the radiation noise of FCACBBs and further optimizing the sound field.

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“…Many researchers have developed the dynamic model of angular contact bearings. e effects of preload [2], stiffness [3], contact angle [4], raceway surface roughness [5], and waviness [6] on the dynamic characteristics of the bearing are analysed in particular, as well as skidding behaviour [7,8]. For example, Gunduz et al [2] investigated the vibration response of angular contact ball bearings with respect to bearing preload and proved that the bearing preloads had a significant effect on the vibration characteristics of a shaft-bearing assembly.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Factors on the Radiation Noise of High‐Speed Full Ceramic Angular Contact Ball Bearings

Yan

et al. 2018

Shock and Vibration

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Ceramic angular contact ball bearing is widely used in a high-speed motorised spindle because of their excellent properties such as wear resistance, high temperature resistance, and corrosion resistance. In this study, the characteristics and influencing factors of the radiation noise for a full ceramic angular contact ball bearing applied in the motorised spindle are investigated. Based on a single factor test method, the variations of bearing noise with preload, oil supply, and rotation speed were investigated, and then, the optimal preload and oil supply under the specific speed were obtained. The sound field directivity in the circumferential distribution of the bearing noise was discussed, and the reasons for the uneven distribution of the sound field were elucidated. According to the experimental results, a prediction model on the radiation noise of a full ceramic angular contact ball bearing under certain conditions was proposed. The conclusions will provide a reference for reducing the radiation noise of full ceramic angular contact ball bearings in high-speed operation and improving the bearing performance.

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Formulation of five degrees of freedom ball bearing model accounting for the nonlinear stiffness and damping of elastohydrodynamic point contacts

Cited by 91 publications

References 31 publications

Effect of Thermal‐Related Fit Clearance between Outer Ring and Pedestal on the Vibration of Full Ceramic Ball Bearing

Effect of Thermal‐Related Fit Clearance between Outer Ring and Pedestal on the Vibration of Full Ceramic Ball Bearing

Research on sound field characteristics of full-ceramic angular contact ball bearing

The Effect of Factors on the Radiation Noise of High‐Speed Full Ceramic Angular Contact Ball Bearings

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