Effect of Static and Dynamic Misalignment on Ball Bearing Radial Stiffness

2004 ◽  
Vol 20 (4) ◽  
pp. 634-647 ◽  
Author(s):  
Bugra H. Ertas ◽  
John M. Vance
Keyword(s):  
Ball Bearing ◽  
Radial Stiffness

Study of the Stiffness Matrix of Preloaded Duplex Angular Contact Ball Bearings

2018 ◽  
Vol 141 (3) ◽  
Author(s):  
Shengye Lin ◽  
Shuyun Jiang
Keyword(s):  
Stiffness Matrix ◽  
Degrees Of Freedom ◽  
Ball Bearing ◽  
Ball Bearings ◽  
Fixed Position ◽  
Angular Contact Ball Bearing ◽  
Face To Face ◽  
Radial Stiffness ◽  
Proposed Model ◽  
Stiffness Characteristics

This paper studies the stiffness characteristics of preloaded duplex angular contact ball bearings. First, a five degrees-of-freedom (5DOF) quasi-static model of the preloaded duplex angular contact ball bearing is established based on the Jones bearing model. Three bearing configurations (face-to-face, back-to-back, and tandem arrangements) and two preload mechanisms (constant pressure preload and fixed position preload) are included in the proposed model. Subsequently, the five-dimensional stiffness matrix of the preloaded duplex angular contact ball bearing is derived analytically. Then, an experimental setup is developed to measure the radial stiffness and the angular stiffness of duplex angular contact ball bearings. The simulated results match well with those from experiments, which prove the validity of the proposed model. Finally, the effects of bearing configuration, preload mechanism, and unloaded contact angle on the angular stiffness and the cross-coupling are studied systematically.

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.

Theoretical and Experimental Study on Stiffness Characteristics of a Wire Race Ball Bearing

2012 ◽  
Vol 569 ◽  
pp. 461-465
Author(s):  
De Fu Zhong ◽  
Jiang Bo Yuan ◽  
Xiao Biao Shan ◽  
Tao Xie
Keyword(s):  
Stiffness Matrix ◽  
Ball Bearing ◽  
Experimental System ◽  
Contact Theory ◽  
Axial Stiffness ◽  
Rotary Table ◽  
Hertz Contact ◽  
Radial Stiffness ◽  
Compound Load ◽  
Stiffness Characteristics

A new mathematical model on the stiffness matrix of the bearing was established by using the non-conforming Hertz contact theory. In this model, the case of compound load and the coupling effects was considered. The numerical arithmetic to estimate the displacements under the compound loads is discussed. As a sample, a wire race ball bearing used in a certain type of three-axis aircraft simulating rotary table was provided. The curves of axial stiffness and radial stiffness were obtained in MATLAB. The experimental system for measuring the stiffness was built. The experimental results verify the validity of the theoretical model.

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.

Radial Stiffness of Thrust Ball Bearings

2011 ◽  
Vol 490 ◽  
pp. 257-264
Author(s):  
Andrzej Raczyński ◽  
Jaroslaw Kaczor
Keyword(s):  
Computer Program ◽  
Radial Displacement ◽  
Ball Bearing ◽  
Ball Bearings ◽  
Radial Stiffness ◽  
Wear And Tear ◽  
Radial Strength ◽  
Calculation Results ◽  
Special Computer Program ◽  
Bearing System

The paper presents the unusual question of determining the dependency between the radial strength applied to the thrust ball bearing against the radial displacement of one ring to another. Contrary to appearances, the shift may occur in a standard bearing system and consequently it may lead to its premature wear and tear. The article depicts a method of determining this dependency (called ‘radial stiffness’) and shows the examples of calculation results obtained through a special computer program.

scholarly journals Experimental Determination of Damping in Rolling Bearing Joints

1994 ◽  
Author(s):  
Robert Zeillinger ◽  
Helmut Springer ◽  
Hubert Köttritsch
Keyword(s):  
Ball Bearing ◽  
Transfer Functions ◽  
Rolling Bearing ◽  
Least Square ◽  
Test Rig ◽  
Radial Stiffness ◽  
Curve Fit ◽  
Domain Transfer ◽  
Stiffness And Damping

Equivalent radial stiffness and damping coefficients of ball bearing joints are identified from a bearing test rig through measured linear frequency domain transfer functions. Common least square techniques are used to curve fit analytical transfer functions of a MDOF-mechanical model of the test rig to the measured transfer functions. Both, the damping caused within the dry Hertzian contacts between the balls and the raceways and the damping within the bearing to housing interface are determined separately. A substantial interface damping is observed that may explain significant deviations between theoretical and experimental results stated in the literature.

Radial Stiffness of Spring Preloaded Angular Contact Ball Bearing under Dynamic Radial Load

2018 ◽  
Author(s):  
Nao Hayashi ◽  
Tomoya Sakaguchi ◽  
Tomoya Nakamura ◽  
Satoshi Kawasaki ◽  
Masaharu Uchiumi
Keyword(s):  
Ball Bearing ◽  
Radial Load ◽  
Angular Contact Ball Bearing ◽  
Radial Stiffness

Mathematical Modeling and Experimental Verification of the Radial Stiffness for a Wire Race Ball Bearing

2011 ◽  
Vol 120 ◽  
pp. 343-348 ◽  
Author(s):  
Xiao Biao Shan ◽  
Li Li Wang ◽  
Tao Xie ◽  
Wei Shan Chen
Keyword(s):  
Mathematical Modeling ◽  
Load Distribution ◽  
Ball Bearing ◽  
Contact Dynamics ◽  
Radial Load ◽  
Rotary Table ◽  
Radial Stiffness ◽  
In Series ◽  
Compression Springs ◽  
Theoretical Results

This paper firstly presented a mathematical model of the radial stiffness of a wire race ball bearing in a certain type of three-axis aircraft simulating rotary table. The Stribeck theory was used to determine the radial load distribution of the bearing. By treating the contact between balls and wires as equivalent compression springs, the relationships of these springs in series and parallel can be obtained to solve the total radial stiffness. Experiments verified the theoretical results of the radial stiffness. This work provides an effective support for further studying the complex contact dynamics of the wire race ball bearing in the future.

Ball bearing turbocharger vibration management: application on high speed balancer

2020 ◽  
Vol 21 (6) ◽  
pp. 619
Author(s):  
Kostandin Gjika ◽  
Antoine Costeux ◽  
Gerry LaRue ◽  
John Wilson
Keyword(s):  
Dynamic Behavior ◽  
High Speed ◽  
Internal Combustion Engines ◽  
Ball Bearing ◽  
Squeeze Film ◽  
Design And Technology ◽  
Squeeze Film Damper ◽  
Damping Coefficients ◽  
Bearing Loads ◽  
Stiffness And Damping

Today's modern internal combustion engines are increasingly focused on downsizing, high fuel efficiency and low emissions, which requires appropriate design and technology of turbocharger bearing systems. Automotive turbochargers operate faster and with strong engine excitation; vibration management is becoming a challenge and manufacturers are increasingly focusing on the design of low vibration and high-performance balancing technology. This paper discusses the synchronous vibration management of the ball bearing cartridge turbocharger on high-speed balancer and it is a continuation of papers [1–3]. In a first step, the synchronous rotordynamics behavior is identified. A prediction code is developed to calculate the static and dynamic performance of “ball bearing cartridge-squeeze film damper”. The dynamic behavior of balls is modeled by a spring with stiffness calculated from Tedric Harris formulas and the damping is considered null. The squeeze film damper model is derived from the Osborne Reynolds equation for incompressible and synchronous fluid loading; the stiffness and damping coefficients are calculated assuming that the bearing is infinitely short, and the oil film pressure is modeled as a cavitated π film model. The stiffness and damping coefficients are integrated on a rotordynamics code and the bearing loads are calculated by converging with the bearing eccentricity ratio. In a second step, a finite element structural dynamics model is built for the system “turbocharger housing-high speed balancer fixture” and validated by experimental frequency response functions. In the last step, the rotating dynamic bearing loads on the squeeze film damper are coupled with transfer functions and the vibration on the housings is predicted. The vibration response under single and multi-plane unbalances correlates very well with test data from turbocharger unbalance masters. The prediction model allows a thorough understanding of ball bearing turbocharger vibration on a high speed balancer, thus optimizing the dynamic behavior of the “turbocharger-high speed balancer” structural system for better rotordynamics performance identification and selection of the appropriate balancing process at the development stage of the turbocharger.

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