A research on the time-varying stiffness of the ball bearing considering the time-varying number of laden balls and load distribution

2018 ◽  
Vol 233 (12) ◽  
pp. 4381-4396 ◽  
Author(s):  
Yongzhen Liu ◽  
Yimin Zhang
Keyword(s):  
Analytical Method ◽  
Load Distribution ◽  
Ball Bearing ◽  
Time Varying ◽  
Angular Contact Ball Bearing ◽  
Principal Diagonal ◽  
Combined Loads ◽  
Time Required ◽  
Rolling Balls

In response to the fact that not all rolling balls are laden when the angular contact ball bearing working under the condition with certain combined loads especially when the axial preload is not large enough, an analytical method for the determination of the time-varying stiffness of angular contact ball bearing considering the effect of time-varying number of laden balls and load distribution is proposed in this paper. According to the definition of the stiffness, the time-varying stiffness under different sets of combined loads is obtained by the implicit function derivation method. Only the principal diagonal elements of the stiffness matrix are studied for the sake of simplicity. Several numerical examples are simulated and the simulation results indicate that the time-varying number of laden balls and load distribution have a significant effect on the stiffness. The period of the time-varying stiffness is consistent with the time required for the cage to rotate the angle between the adjacent rolling balls. The calculation of the ball bearing quasi-static model and the analytical method for the determination of the stiffness is verified by the existing references.

scholarly journals The analysis of impact of intensity of contact load and angular shaft speed on the heat generation within radial ball bearing

2016 ◽  
Vol 20 (5) ◽  
pp. 1765-1776 ◽  
Author(s):  
Rade Grujicic ◽  
Radoslav Tomovic ◽  
Radivoje Mitrovic ◽  
Janko Jovanovic ◽  
Ivana Atanasovska
Keyword(s):  
Mathematical Model ◽  
Heat Generation ◽  
Load Distribution ◽  
Ball Bearing ◽  
Contact Load ◽  
Shaft Speed ◽  
Lubrication Regimes ◽  
Set Up ◽  
The Impact

This paper considers the factors that influence the heat generation within ball bearing. Various lubrication regimes are taken into consideration and a mathematical model for determination of the coefficient of heat generation is set up. Due to the complexity of mathematical tools, and in order to perform better and easier analysis of the considered phenomenon, the application that integrates the mathematical models of load distribution and heat generation was developed. The impact of the contact load and angular shaft speed on the level of heat generated in radial ball bearing was analyzed.

Effects of axial preloading displacement and off-sized balls and raceway error on mechanical performance of angular contact ball bearings

2016 ◽  
Vol 230 (4) ◽  
pp. 293-306
Author(s):  
Sijia Chen ◽  
Fangbo Ma ◽  
Peng Ji ◽  
Qi An
Keyword(s):  
Numerical Calculation ◽  
Vibration Frequency ◽  
Load Distribution ◽  
Ball Bearing ◽  
Mechanical Performance ◽  
Geometric Analysis ◽  
Force Balance ◽  
Contact Load ◽  
Ball Bearings ◽  
Angular Contact Ball Bearing

Taking the off-sized balls and raceway error into account, the effects of axial preloading displacement on the mechanical performance of angular contact ball bearings are investigated in this paper. Through the geometric analysis of the angular contact ball bearing and the force balance, the contact load-deformation expressions of ball-to-raceway, the expression of load zone and their relation to axial preloading displacement are derived. By numerical calculation for a concrete example, we found the influences of preloading on the loading zone and maximum ball load and found the influences of off-sized balls and raceway error on the minimum preloading displacement, ball load distribution, inner ring centre trajectory and inner ring vibration frequency. Some curves about these influences are obtained and discussed.

Determination of Optimum Preload Considering the Skidding and Thermal Characteristic of High-Speed Angular Contact Ball Bearing

2018 ◽  
Vol 140 (5) ◽  
Author(s):  
Bin Fang ◽  
Jinhua Zhang ◽  
Shaoke Wan ◽  
Jun Hong
Keyword(s):  
Temperature Rise ◽  
High Speed ◽  
Ball Bearing ◽  
Thermal Characteristic ◽  
Mathematic Model ◽  
Angular Contact Ball Bearing ◽  
High Speeds ◽  
Proposed Model ◽  
Negative Effect

Skidding is a typical behavior of high-speed angular contact ball bearings. Studies show that the effect of preload on bearing skidding and thermal characteristic is essential but insufficient. This paper proposed a comprehensive mathematic model to predict the skidding behavior of ball bearing, and the influences of the interactions between ball and raceways, cage and lubricant have been taken into consideration. Based on the proposed model, the bearing heating generation was calculated and the effects of skidding on bearing heating and temperature rise were analyzed. For validation proposes, a hydraulic variable preload experimental setup has been built, and the temperature rise of bearing outer rings under different preloads and speeds was collected and analyzed. The results indicated that at high speeds, the skidding has a significant negative effect on bearing temperature rise, and a proper preload can effectively prevent skidding and decrease temperature rise. Therefore, for a high-speed spindle-bearing system, an optimum preload that produced the minimum temperature rise can be obtained.

LUMINESCENT DETERMINATION OF SUGAR IN NATURAL HONEY

2020 ◽  
Vol 0 (4) ◽  
pp. 29-32
Author(s):  
B.M. GAREEV ◽  
◽  
A.M. ABDRAKHMANOV ◽  
G.L. SHARIPOV ◽  
◽  
...  
Keyword(s):  
Quantum Dots ◽  
Laboratory Test ◽  
Aqueous Solutions ◽  
Analytical Method ◽  
Sugar Content ◽  
Carbon Quantum Dots ◽  
Photoluminescence Intensity ◽  
Sucrose Content ◽  
Natural Honey

The photoluminescence of carbon quantum dots synthesized from natural honey and mixtures of honey and sugar has been studied. An increase in the sugar content leads to a decrease in the photoluminescence intensity without changing the shape of the luminescence spectrum of these quantum dots aqueous solutions, which is associated with a decrease in the yield of their synthesis in the sugar presence. The discovered effect can be used to detect sugar in honey. When examining five different market samples of flower honey using this method, two of them showed a significant decrease in the photoluminescence intensity. A laboratory test for compliance with GOST 19792-2017 Standard requirements established an excess of the sucrose content in these samples. Luminescent determination of sugar in honey does not require complicated equipment and can be used to develop a new analytical method for determining the sugar content in counterfeit natural honey.

Recent Patents on the Angular Contact Ball Bearing of High-Speed Motorized Spindle

2020 ◽  
Vol 13 ◽  
Author(s):  
Yudong Bao ◽  
Linkai Wu ◽  
Yanling Zhao ◽  
Chengyi Pan
Keyword(s):  
High Speed ◽  
Ball Bearing ◽  
Rapid Development ◽  
Ceramic Materials ◽  
Development Trend ◽  
Numerical Control ◽  
Angular Contact Ball Bearing ◽  
Practical Applications ◽  
High Speed Cutting ◽  
Advantages And Disadvantages

Background:: Angular contact ball bearings are the most popular bearing type used in the high speed spindle for machining centers, The performance of the bearing directly affects the machining efficiency of the machine tool, Obtaining a higher value is the direction of its research and development. Objective:: By analyzing the research achievements and patents of electric spindle angular contact bearings, summarizing the development trend provides a reference for the development of electric spindle bearings. Methods:: Through the analysis of the relevant technology of the electric spindle angular contact ball bearing, the advantages and disadvantages of the angular contact ball bearing are introduced, and the research results are combined with the patent analysis. Results:: With the rapid development of high-speed cutting and numerical control technology and the needs of practical applications, the spindle requires higher and higher speeds for bearings. In order to meet the requirements of use, it is necessary to improve the bearing performance by optimizing the structure size and improving the lubrication conditions. Meanwhile, reasonable processing and assembly methods will also have a beneficial effect on bearing performance. Conclusion:: With the continuous deepening of bearing technology research and the use of new structures and ceramic materials has made the bearing's limit speed repeatedly reach new highs. The future development trend of high-speed bearings for electric spindles is environmental protection, intelligence, high speed, high precision and long life.

Temperature Rise Prediction of Oil-Air Lubricated Angular Contact Ball Bearings Using Artificial Neural Network

2019 ◽  
Vol 12 (3) ◽  
pp. 248-261
Author(s):  
Baomin Wang ◽  
Xiao Chang
Keyword(s):  
Neural Network ◽  
Artificial Neural Network ◽  
Temperature Rise ◽  
High Speed ◽  
Ball Bearing ◽  
Influence Factors ◽  
Ball Bearings ◽  
Ann Model ◽  
Angular Contact Ball Bearing ◽  
Artificial Neural

Background: Angular contact ball bearing is an important component of many high-speed rotating mechanical systems. Oil-air lubrication makes it possible for angular contact ball bearing to operate at high speed. So the lubrication state of angular contact ball bearing directly affects the performance of the mechanical systems. However, as bearing rotation speed increases, the temperature rise is still the dominant limiting factor for improving the performance and service life of angular contact ball bearings. Therefore, it is very necessary to predict the temperature rise of angular contact ball bearings lubricated with oil-air. Objective: The purpose of this study is to provide an overview of temperature calculation of bearing from many studies and patents, and propose a new prediction method for temperature rise of angular contact ball bearing. Methods: Based on the artificial neural network and genetic algorithm, a new prediction methodology for bearings temperature rise was proposed which capitalizes on the notion that the temperature rise of oil-air lubricated angular contact ball bearing is generally coupling. The influence factors of temperature rise in high-speed angular contact ball bearings were analyzed through grey relational analysis, and the key influence factors are determined. Combined with Genetic Algorithm (GA), the Artificial Neural Network (ANN) model based on these key influence factors was built up, two groups of experimental data were used to train and validate the ANN model. Results: Compared with the ANN model, the ANN-GA model has shorter training time, higher accuracy and better stability, the output of ANN-GA model shows a good agreement with the experimental data, above 92% of bearing temperature rise under varying conditions can be predicted using the ANNGA model. Conclusion: A new method was proposed to predict the temperature rise of oil-air lubricated angular contact ball bearings based on the artificial neural network and genetic algorithm. The results show that the prediction model has good accuracy, stability and robustness.

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