Mode Characteristics of Spur Gears and Ball-Bearing Stiffness

2016 ◽  
Vol 40 (5) ◽  
pp. 489-495
Author(s):  
Chan IL Park
Keyword(s):  
Ball Bearing ◽  
Spur Gears ◽  
Bearing Stiffness ◽  
Mode Characteristics

Parameters research on time-varying stiffness of the ball bearing system without race control hypothesis

2021 ◽  
pp. 095440622110179
Author(s):  
Yongzhen Liu ◽  
Yimin Zhang
Keyword(s):  
Ball Bearing ◽  
Combined Loading ◽  
Time Varying ◽  
Noticeable Effect ◽  
Rotating Speed ◽  
Bearing Stiffness ◽  
Vibration Mechanism ◽  
Control Hypothesis ◽  
Full Consideration ◽  
Bearing System

When the ball bearing serving under the combined loading conditions, the ball will roll in and out of the loaded zone periodically. Therefore the bearing stiffness will vary with the position of the ball, which will cause vibration. In order to reveal the vibration mechanism, the quasi static model without raceway control hypothesis is modeled. A two-layer nested iterative algorithm based on Newton–Raphson (N-R) method with dynamic declined factors is presented. The effect of the dispersion of bearing parameters and the installation errors on the time-varying carrying characteristics of the ball-raceway contact and the bearing stiffness are investigated. Numerical simulation illustrates that besides the load and the rotating speed, the dispersion of bearing parameters and the installation errors have noticeable effect on the ball-raceway contact load, ball-inner raceway contact state and bearing stiffness, which should be given full consideration during the process of design and fault diagnosis for the rotor-bearing system.

The Non-Uniform Preloading Effect on Stiffness Behaviour of Angular Contact Ball Bearings

2012 ◽  
Author(s):  
Wenwu Wu ◽  
Jun Hong ◽  
Xiaohu Li ◽  
Yang Li ◽  
Baotong Li
Keyword(s):  
High Speed ◽  
Ball Bearing ◽  
Operating Conditions ◽  
Structural Performance ◽  
Angular Contact Ball Bearing ◽  
Actual Operating ◽  
Bearing Life ◽  
Bearing Stiffness ◽  
Increasing Demand ◽  
Bearing System

With the increasing demand of higher operating speed for bearing system, more challenges have been exposed on the maintaining of the bearing performance. Preloading is an effective method to handle these challenges. Traditionally, the preloading of bearing system has been applied by uniform approaches such as rigid preload and constant preload. However, this treatment may hardly deal with the optimization of preloading problem due to the non-uniformity of the bearing stiffness becomes more apparent under high-speed operating conditions. A novel and practical approach is therefore presented in this paper to incorporate the non-uniformity effect to improve the structural performance of bearing under actual operating conditions. Firstly, the critical relationship between the stiffness behaviour and the non-uniform preload is evaluated for bearing system. The stiffness problem of angular contact ball bearing system is then formulated analytically by Jones’ model. With this approach, boundary conditions are achieved to solve the local contact deformation and predict the bearing life under non-uniform preload. Finally, both the uniform preload and the non-uniform preload cases for bearing system are simulated under various operating conditions. Comparing with traditional methods, the proposed method can provide a better solution in both stiffness and life that will enable a designer to obtain a deep insight on the optimization of bearing system.

scholarly journals EFFECT OF RADIAL FORCE ON BALL BEARING STIFFNESS FACTOR UNDER CONDITIONS OF RING SKEW

2021 ◽  
Vol 6 (4) ◽  
pp. 6-10
Author(s):  
Il'dar S. Barmanov
Keyword(s):  
Significant Influence ◽  
Ball Bearing ◽  
Radial Force ◽  
Radial Load ◽  
Radial Stiffness ◽  
Bearing Stiffness ◽  
Bearing Rings

Results of ball bearing rings skew effect on radial stiffness factor are pre-sented in the paper. The effect of radial load on stiffness factor at change of angles of rings skew was evaluated. Significant influence of bearing rings skew on stiffness factor at small radial load values is noted.

The Influence of Mounting Compliance and Operating Conditions on the Radial Stiffness of Ball Bearings: Analytic and Test Results

1991 ◽  
Author(s):  
M. F. Butner ◽  
B. T. Murphy ◽  
R. A. Akian
Keyword(s):  
Ball Bearing ◽  
Operating Conditions ◽  
Machine Design ◽  
Ball Bearings ◽  
Test Results ◽  
Resonant Frequencies ◽  
Analysis Process ◽  
Angular Deflection ◽  
Radial Stiffness ◽  
Bearing Stiffness

Abstract Ball bearing stiffness is significantly affected by internal clearance as well as the nature of applied loads and bearing ring mounting compliance. Since their stiffnesses are key to rotor critical speeds, it is important to obtain the most accurate possible radial stiffness prediction for shaft bearings during the machine design analysis process. Quasi-static analysis of spring-preloaded ball bearings predicted reduced radial stiffness when the outer ring is permitted to tilt rather than being assumed restrained from angular deflection. This effect was confirmed experimentally by observing resonant frequencies of a rotor supported on ball bearings of varied internal clearance, mounted with and without spring preloading. Analytic predictions of bearing stiffness are given, and test results presented for comparison.

The Radial Stiffness and Application of Double-Decker Ball Bearing

2010 ◽  
Vol 450 ◽  
pp. 353-356 ◽  
Author(s):  
Yi Li Zhu ◽  
Long Xiang Xu
Keyword(s):  
Ball Bearing ◽  
Contact Angles ◽  
Initial Contact ◽  
Rotating Speed ◽  
Unbalance Response ◽  
Double Decker ◽  
Rotor Bearing ◽  
Nature Frequency ◽  
Bearing Stiffness ◽  
Bearing System

Single Decker Ball Bearing (SDBB) is widely used in Rotor-Bearing system. A new method using DDBB composed of two ball bearings as support bearings is proposed. The mechanical model of the DDBB based on the quasi-dynamic method is established and the corresponding calculating program compiled in Matlab is developed after considering the radial load, axial load, centrifugal force as well as gyroscopic moment acted on the bearing simultaneously. And then a simple Rotor-DDBB model is adopted to analyze the rotor unbalance response with different parameters. The simulation results show that shaft rotating speed, ball materials, axial preload and the initial contact angles to some extent impact the bearing stiffness while have little affects on system nature frequency and the rotor unbalance response which greatly affected by the system base stiffness. The results provide a theoretical basis for the design of DDBB and application in a Rotor-Bearing system.

Impact of Shaft Coaxiality on the Local Stiffness of Angular Contact Ball Bearing

2011 ◽  
Vol 418-420 ◽  
pp. 1026-1030
Author(s):  
Zhen Huan Ye ◽  
Li Qin Wang ◽  
Chuan Wei Zhang ◽  
Le Gu
Keyword(s):  
Dynamic Method ◽  
Ball Bearing ◽  
Angular Contact Ball Bearing ◽  
Bearing Stiffness ◽  
Relationship Of ◽  
Local Stiffness ◽  
The Relationship

Semi-dynamic method is employed to calculate the local stiffness of angular contact ball bearing, accounting for the influence of geometrical deflects caused by shaft coaxiality in the process of bearing assemble. The effect of coaxiality on the bearing deflect is computed, and the relationship of local bearing stiffness to coaxiality is analyzed.

Characteristics Analysis of Angular Contact Ball Bearing Based on the Oil Film Stiffness1

2011 ◽  
Vol 480-481 ◽  
pp. 599-604
Author(s):  
Zhi Feng Liu ◽  
Hao Zhou ◽  
Yong Sheng Zhao
Keyword(s):  
Ball Bearing ◽  
Hydrodynamic Lubrication ◽  
Rolling Bearing ◽  
Angular Contact Ball Bearing ◽  
Oil Film ◽  
Stiffness Model ◽  
Characteristics Analysis ◽  
Bearing Stiffness ◽  
Hydrodynamic Lubrication Theory ◽  
Film Stiffness

The bearing stiffness model is established based on the Hertz contact theory and the hydrodynamic lubrication theory of rolling bearing in this paper, the dynamic characteristics of the angular contact ball bearing and the relationship between the bearing preload, the speed and the stiffness of the angular contact ball bearing is analyzed, as well as the influence of the oil film stiffness on the bearing total stiffness. The results from taking 71924ACD/P4A bearing as an example shows that the preload and the speed have important effect on the stiffness of bearing. By the contrast of two kinds of situations, a conclusion can be drawn that when considering the oil film stiffness,the total stiffness reduces 0-40% than not considering the oil film stiffness.

Research on the Influence of Clearance Variation on the Stiffness Fluctuation of Ball Bearing Under Different Operating Conditions

2020 ◽  
Vol 143 (2) ◽  
Author(s):  
Bin Fang ◽  
Shaoke Wan ◽  
Jinhua Zhang ◽  
Jun Hong
Keyword(s):  
Ball Bearing ◽  
Dynamic Performance ◽  
Research Work ◽  
Mathematic Model ◽  
Rotor System ◽  
Operating Conditions ◽  
Exploratory Research ◽  
Proposed Model ◽  
Bearing Stiffness ◽  
Control Hypothesis

Abstract The vibration induced by the varying compliance (VC) or the stiffness fluctuation of ball bearing plays a key role in the dynamic performance of the rotor system. The aim of this article is to study the stiffness fluctuation behaviors of ball bearing under different operating conditions. This article presents an improved mathematic model for ball bearing with wider applicability based on the new initial/reference position assumption and the ball-raceway contact/separation determination. The proposed model not only gets rid of the limitations of the raceway control hypothesis but also considers the space constraints of the cage on the balls. The advantages of the proposed model are presented through the typical working condition analysis, and the influences of the internal clearance on the stiffness and stiffness fluctuation of ball bearing under different operating conditions are given and discussed. The results show that bearing stiffness and stiffness fluctuation are determined by the external loads, rotating speeds, and internal clearances together, and properly increasing the axial load can effectively reduce the amplitudes and frequency components of the stiffness fluctuation. As an exploratory research work on the excitation source for the VC vibration of the bearing-rotor system, this article not only explains the complexity and diversity of the rotor VC vibration behavior from another side but also provides new ideas and important supplements for the rotor nonlinear analysis.

scholarly journals Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing

2020 ◽  
Vol 2020 ◽  
pp. 1-11 ◽  
Author(s):  
Zhiyong Zhang ◽  
Thomas Sattel ◽  
Aditya Suryadi Tan ◽  
Xiaoting Rui ◽  
Shaopu Yang ◽  
...  
Keyword(s):  
Ball Bearing ◽  
Hertzian Contact ◽  
Rolling Bearings ◽  
Dynamical Mechanism ◽  
Nonlinear Characteristics ◽  
Bearing Clearance ◽  
Rolling Elements ◽  
Bearing Stiffness ◽  
Hysteretic Characteristics ◽  
The Stability

It is traditionally considered that, due to the Hertzian contact force-deformation relationship, the stiffness of rolling bearings has stiffening characteristics, and gradually researchers find that the supporting characteristics of the system may stiffen, soften, and even coexist from them. The resonant hysteresis affects the stability and safety of the system, and its jumping effect can make an impact on the system. However, the ball bearing contains many nonlinearities such as the Hertzian contact between the rolling elements and raceways, bearing clearance, and time-varying compliances (VC), leading great difficulties to clarify the dynamical mechanism of resonant hysteresis of the system. With the aid of the harmonic balance and alternating frequency/time domain (HB-AFT) method and Floquet theory, this paper will investigate the hysteretic characteristics of the Hertzian contact resonances of a ball bearing system under VC excitations. Moreover, the linearized dynamic bearing stiffness of the system will be presented for assessing the locations of VC resonances, and the nonlinear characteristics of bearing stiffness will also be discussed in depth. Our analysis indicates that the system possesses many types of VC resonances such as the primary, internal, superharmonic, and even combination resonances, and the evolutions of these resonances are presented. Finally, the suppression of resonances and hysteresis of the system will be proposed by adjusting the bearing clearance.

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