A New Method for Computing Contact Angle of High Speed Ball Bearing

Lei, Chunli; Zhou, Rui; Li, Jun; Feng, Ruoqiang; Zhao, Jun-Tian

doi:10.1109/cso.2010.221

Cited by 3 publications

(3 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Contrary to the control theory, a unique expression continuously varying is obtained, regardless of the values of the speed and load. The results seem to be more accurate with this pitch angle calculation [15,16]. In the following, this theory will be referred to as the "hybrid" theory.…”

Section: Kinematic Hypotheses and Pitch Angle Bmentioning

confidence: 77%

“…In previous works, tangential loads on the ball, corresponding to the reaction to the gyroscopic moment, are assumed equal on both raceways [4,10,17]. Others associate a distribution according to the kinematic hypothesis [11,15,16,18]. The associated distribution parameters k i and k o are given in Table 2.…”

Section: Contact Hypothesis: Distribution Of the Gyroscopicmentioning

confidence: 99%

See 1 more Smart Citation

Complete Analytical Expression of the Stiffness Matrix of Angular Contact Ball Bearings

Noel¹,

Ritou²,

Furet

et al. 2013

Journal of Tribology

View full text Add to dashboard Cite

International audienceAngular contact ball bearings are predominantly used for guiding high speed rotors such as machining spindles. For an accurate modelling, dynamic effects have to be considered, most notably in the bearings model. The paper is based on a dynamic model of angular contact ball bearings. Different kinematic hypotheses are discussed. A new method is proposed for the computation of the stiffness matrix: a complete analytical expression including dynamic effects is presented in order to ensure accuracy at high shaft speed. It is demonstrated that the new method leads to the exact solution, contrary to the previous ones. Besides, the computational cost is similar. The new method is then used to investigate the consequence of the kinematic hypotheses on bearing stiffness values. Last, the relevance of this work is illustrated through the computation of the dynamic behavior of a high speed milling spindle. The impact of this new computation method on the accuracy of a finite element spindle model is quantified

show abstract

Section: Kinematic Hypotheses and Pitch Angle Bmentioning

confidence: 77%

Section: Contact Hypothesis: Distribution Of the Gyroscopicmentioning

confidence: 99%

Complete Analytical Expression of the Stiffness Matrix of Angular Contact Ball Bearings

Noel¹,

Ritou²,

Furet

et al. 2013

Journal of Tribology

View full text Add to dashboard Cite

show abstract

“…Meanwhile, Changan [15] and Noel et al [16] established a new equation to determine the pitch angle β by applying "d'Alembert's principle" to balls. Ding et al [15] and Lei et al [17] found a simple expression of the pitch angle β, and this theory will be referred to as the hybrid theory. Te details of these selection criteria and the pitch angle β expressions are given in Table 1.…”

Section: Deformed Relationsmentioning

confidence: 99%

Reliability and Reliability Sensitivity Analysis of Rolling Bearings Based on Contact Fatigue under Finite Probability Information

Wang

Zhou

Zhang

2022

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The probability information of random variables is frequently finite in the rolling bearing contact fatigue reliability design process, making it impossible to calculate the reliability index or rolling bearing reliability accurately. In this study, the dynamic model of rolling bearings is established, the Box–Behnken design and the response surface method are combined to obtain the mapping relationship between random variables, and the rolling bearing reliability design model is established with the strength obeying gamma process. The transient reliability, cumulative reliability, and reliability sensitivity analysis methods based on contact fatigue under finite probability information are used to calculate the change law and size order of the rolling bearing reliability affected by the change of each basic random variable. Finally, we apply this research method to analyse the reliability of a certain type of angular contact ball bearing compared with the Monte Carlo simulation method. This demonstrates that the method presented in this study is correct and effective.

show abstract

A Physics-Based Model-Data-Driven Method for Spindle Health Diagnosis, Part II: Dynamic Simulation and Validation

Tai,

Altintas

2024

Journal of Manufacturing Science and Engineering

View full text Add to dashboard Cite

Mathematical modeling of bearing faults, worn tool holder taper contact interface, and unbalance are presented and integrated into a digital dynamic model of spindles in Part I of this paper. These faults lead to changes in preload and dynamic stiffness over time, consequently resulting in observable vibrations. This paper predicts the vibrations of a spindle at a particular measurement location by simulating the presence of a specific fault or multiple faults during spindle rotation. The vibration spectra generated by the digital spindle model at the spindle speed and its harmonics, the changes in the natural frequencies, and dynamic stiffnesses are correlated to faults with experimental validations. The simulated vibration spectrums are later used in training an artificial neural network for fault condition monitoring presented in Part III of the paper.

show abstract

A New Method for Computing Contact Angle of High Speed Ball Bearing

Cited by 3 publications

References 9 publications

Complete Analytical Expression of the Stiffness Matrix of Angular Contact Ball Bearings

Complete Analytical Expression of the Stiffness Matrix of Angular Contact Ball Bearings

Reliability and Reliability Sensitivity Analysis of Rolling Bearings Based on Contact Fatigue under Finite Probability Information

A Physics-Based Model-Data-Driven Method for Spindle Health Diagnosis, Part II: Dynamic Simulation and Validation

Contact Info

Product

Resources

About