Modeling of Crossed Roller Bearings Considering Roller Roundness Deformation

2020 ◽  
Vol 142 (12) ◽  
Author(s):  
Van-Canh Tong ◽  
Eui-Wook Jung ◽  
Seong-Wook Hong
Keyword(s):  
Degrees Of Freedom ◽  
Unit Length ◽  
Roller Bearing ◽  
Rolling Element Bearing ◽  
Flat Surfaces ◽  
Roller Bearings ◽  
Proposed Model ◽  
Rolling Element ◽  
Inertial Loading ◽  
Speed Effect

Abstract This paper presents a quasi-static five degrees-of-freedom model of crossed roller bearings that considers roller roundness deformation. The existing models of rolling element bearing do not account for ball and/or roller roundness deformation. However, in the case of crossed roller bearing, roundness deformation of rollers can be significant because of high contact load per unit length of rollers. In this paper, the roller roundness deformation was included by using a formulation of the roller as a cylinder under compression by two flat surfaces. The inertial loading due to rotational speed effect was considered by including the centrifugal force and gyroscopic moment of rollers. Experiments were performed to validate the proposed model, and calculated and measured axial displacements of the bearing under axial loads yielded a good correlation. Extensive simulations were conducted to show the importance of roller roundness deformation and the applicability of the proposed model. The developed model for crossed roller bearing will be useful for the design and extensive analysis of crossed roller bearings.

Load-Displacement Relationships for Ball and Spherical Roller Bearings

2015 ◽  
Vol 137 (2) ◽  
Author(s):  
L. Houpert
Keyword(s):  
Contact Angle ◽  
Roller Bearing ◽  
Point Contact ◽  
Rolling Element Bearing ◽  
Smooth Transition ◽  
Ball Bearings ◽  
Roller Bearings ◽  
Deep Groove ◽  
Rolling Element ◽  
Element Bearing

Analytical relationships for calculating three rolling element bearing loads (Fx, Fy, and Fz) and two tilting moments (My and Mz) as a function of three relative race translations (dx, dy, and dz) and two relative race tilting angles (dθy and dθz) have been given in a previous paper. The previous approach was suggested for any rolling element bearing type, although it has been recognized that the assumption of a constant rolling element-race contact angle is not well supported by deep groove ball bearings (DGBB) or angular contact ball bearings (ACBB). The new approach described in this paper addresses the latter weaknesses by accounting for the variation of the contact angle on the most loaded ball and also shows that misalignment effects on spherical roller bearing (SRB) loads are negligible. Comparisons between the simplified approach (option 1) and the “enhanced” numerical approach (option 2, which requires a summation of the load components on each ball with the appropriate contact angle included) is made, showing a good correlation as long as the relative misalignment remains reasonable or occurs in the plane corresponding to maximum radial displacement. Option 2 can, however, be recommended since it is easy to program and quite accurate at any misalignment level. Other pros and cons of both options are described. As in the previous paper, a full coupling between all displacements and forces, as well as roller and raceway crown radii, are considered, meaning that Hertzian point contact stiffness is used in roller bearings at low load with a smooth transition toward Hertzian line contact as the load increases. This approach is particularly recommended for programming the rolling element bearing behavior in any finite element analysis or multibody system dynamic tool, since only two nodes are considered: one for the inner race (IR) center, usually connected to a shaft, and another node for the outer race (OR) center, connected to the housing.

A General Method for Predicting the Influence of Structural Support Upon Rolling Element Bearing Performance

1970 ◽  
Vol 92 (1) ◽  
pp. 121-127 ◽  
Author(s):  
E. G. Filetti ◽  
J. H. Rumbarger
Keyword(s):  
Measurement Techniques ◽  
Roller Bearing ◽  
Rolling Element Bearing ◽  
Analytical Technique ◽  
Structural Support ◽  
Sufficient Detail ◽  
Rolling Element ◽  
Method Of Solution ◽  
Cylindrical Roller Bearing

A general analytical technique is presented for the evaluation of rolling element bearings when their structural support significantly influences the equilibrium solution. A cylindrical roller bearing supported by an elastic outer housing with two stiff leg supports is analyzed to illustrate the application of this computer oriented method. Experimental determination of the roller load distribution by “footprint” measurement techniques shows excellent agreement with the analytical predictions. The method of solution is outlined with sufficient detail to enable the cooperation of structural and bearing analysis in the solution of a class of problems requiring both disciplines.

Statistical Distribution of Tapered Roller Bearing Fatigue Lives at High Levels of Reliability

2005 ◽  
Author(s):  
Michael N. Kotzalas
Keyword(s):  
Weibull Distribution ◽  
Roller Bearing ◽  
Rolling Element Bearing ◽  
Mathematical Methods ◽  
Data Set ◽  
Tapered Roller Bearing ◽  
Roller Bearings ◽  
Tapered Roller ◽  
Tapered Roller Bearings ◽  
Two Parameter

The original two-parameter Weibull distribution used for rolling element bearing fatigue tends to greatly underestimate life at high levels of reliability. This fact has been proven for through hardened ball, cylindrical and spherical roller bearings, as well as linear ball bearings, by other researchers. However, to date this has not been done with tapered roller bearings (TRB) or case carburized materials, and as such this study was conducted. First, the three-parameter Weibull distribution was utilized to create a mathematical model, and statistical data analysis methods were put into place. This algorithm was then investigated as to its ability to discern the shape of the reliability distribution using known, numerically generated, data sets for two and three-parameter Weibull distributions. After validation, an experimental data set of 9702 TRB’s, 98% of which were case carburized, was collected. Using the developed algorithm on this data set, the overall RMS error was reduced from 26.0% for the standard, two-parameter to 12.2% for the three-parameter Wiebull distribution. Also, the error at 99.9% reliability was reduced from 95.8% to 37%. However, as the results within varied from previously published values at high reliabilities, there is likely a difference in the underlying population and/or dependency on the statistical and mathematical methods utilized. Therefore, more investigation should be conducted in this area to identify the underlying variables and their effects on the results.

A Study of the Lubrication and Dynamics of Geometrically Perfect, Lightly Loaded, Cylindrical Roller Bearings with Particular Reference to Shaft Loci

1976 ◽  
Vol 18 (6) ◽  
pp. 263-270
Author(s):  
P. H. Markho ◽  
D. Dowson
Keyword(s):  
Roller Bearing ◽  
Lubricant Film Thickness ◽  
Roller Bearings ◽  
Rolling Element ◽  
Cyclic Movement ◽  
Bearing Loads ◽  
Initial Clearance ◽  
Cylindrical Roller Bearing ◽  
Cylindrical Roller ◽  
Steady Load

The principal objective of this paper is to ascertain and quantify the cyclic movement of the centre of a shaft in a geometrically perfect, lubricated, cylindrical roller bearing exhibiting initial clearance and subjected to a light and steady load. The movement may be important in relation to the accuracy of location of shafts in roller bearings, and it is shown that a detailed consideration of the rolling element assembly predicts some interesting effects. The study also covers more conventional features of bearing performance such as lubricant film thickness and coefficient of friction, and shows the effect of squeeze to be negligible under steady bearing loads.

Comparison of Advanced Signal-Processing Methods for Roller Bearing Faults Detection

2012 ◽  
Vol 19 (4) ◽  
pp. 715-726 ◽  
Author(s):  
Jacek Urbanek ◽  
Tomasz Barszcz ◽  
Tadeusz Uhl
Keyword(s):  
Wind Turbines ◽  
Roller Bearing ◽  
Rolling Element Bearing ◽  
Monitoring Methods ◽  
Operational Conditions ◽  
Rolling Element ◽  
Fast Development ◽  
Element Bearing ◽  
Signal Processing Methods

Abstract Wind turbines are nowadays one of the most promising energy sources. Every year, the amount of energy produced from the wind grows steadily. Investors demand turbine manufacturers to produce bigger, more efficient and robust units. These requirements resulted in fast development of condition-monitoring methods. However, significant sizes and varying operational conditions can make diagnostics of the wind turbines very challenging. The paper shows the case study of a wind turbine that had suffered a serious rolling element bearing (REB) fault. The authors compare several methods for early detection of symptoms of the failure. The paper compares standard methods based on spectral analysis and a number of novel methods based on narrowband envelope analysis, kurtosis and cyclostationarity approach. The very important problem of proper configuration of the methods is addressed as well. It is well known that every method requires setting of several parameters. In the industrial practice, configuration should be as standard and simple as possible. The paper discusses configuration parameters of investigated methods and their sensitivity to configuration uncertainties

Analysis of a Rolling-Element Idler Gear Bearing Having a Deformable Outer-Race Structure

1963 ◽  
Vol 85 (2) ◽  
pp. 273-278 ◽  
Author(s):  
A. B. Jones ◽  
T. A. Harris
Keyword(s):  
Fatigue Life ◽  
High Speed ◽  
Roller Bearing ◽  
Rolling Element Bearing ◽  
Outer Ring ◽  
Outer Race ◽  
Rolling Element ◽  
Rolling Elements ◽  
Planet Gear ◽  
Bearing Rings

Conventional calculations of ball and roller bearing carrying capacity and fatigue life assume that the raceway bodies are rigid structures and that all elastic deformation occurs at the rolling elements’ contact with the raceways. In many instances, and particularly with aircraft applications, the bearing rings and their supports cannot be considered rigid. One such application is the planet gear in a transmission. This report develops a theory whereby the effects of the elastic distortions of the outer race of a rolling-element bearing on the internal load distribution and fatigue life of the bearing can be considered. The theory has been programmed for a high-speed, digital computer. An example of calculation for a planet gear roller bearing whose outer race is integral with the gear and of relatively thin section is given. The distortions of the flexible outer ring cause a significantly lower bearing fatigue life (L10) than would occur if the outer ring were rigid and considering a practical range of bearing diametral clearances. Mr. Jones developed the theoretical analysis for this paper and Mr. Harris provided the programming and the experimental data.

An overview of dynamic modeling of rolling-element bearings

2020 ◽  
pp. 095745652094827
Author(s):  
Surajkumar G Kumbhar ◽  
Edwin Sudhagar P ◽  
RG Desavale
Keyword(s):  
Dynamic Behavior ◽  
Dynamic Modeling ◽  
Operating Conditions ◽  
Rolling Element Bearing ◽  
Rolling Element Bearings ◽  
Roller Bearings ◽  
Rolling Element ◽  
Vibration Responses ◽  
Vibration Signature ◽  
Element Bearing

The marvelous uniqueness of vibration responses of faulty roller bearings can be simply observed through its vibration signature. Therefore, vibration analysis has been claimed as an effective tool not only for primitive detection but also for subsequent analysis. The dynamic behavior of roller bearings has been investigated by systematic modeling of system and its validation under diverse operating conditions. This article presents an overview of imperative marks in the development of dynamic modeling of rolling-element bearing, which especially predicted vibration responses of damaged bearings. This study aims to address dimensional analysis; a new and imperative way to model the dynamic behavior of rolling-element bearings and their real-time performance in a rotor-bearing system. The findings are described with influential advantages over earlier research to pinpoint the intention behind its development. A literature summary is trailed by remarkable findings and future directions for research.

Roller Bearing Fault Feature Extraction Based on Compressive Sensing

2018 ◽  
Author(s):  
Huibin Lin ◽  
Jianmeng Tang ◽  
Chris Mechefske
Keyword(s):  
Feature Extraction ◽  
Compressive Sensing ◽  
Learning Algorithm ◽  
Sampling Rate ◽  
Roller Bearing ◽  
Rolling Element Bearing ◽  
Bearing Fault ◽  
Rolling Element ◽  
Element Bearing ◽  
Fault Feature Extraction

Compressive sensing (CS) theory allows measurement of sparse signals with a sampling rate far lower than the Nyquist sampling frequency. This could reduce the burden of local storage and remote transmitting. The periodic impacts generated in rolling element bearing local faults are obviously sparse in the time domain. According to this sparse feature, a rolling element bearing fault feature extraction method based on CS theory is proposed in the paper. Utilizing the shift invariant dictionary learning algorithm and the periodic presentation characteristic of local faults of roller bearings, a shift-invariant dictionary of which each atom contains only one impact pattern is constructed to represent the fault impact as sparsely as possible. The limited degree of sparsity is utilized to reconstruct the feature components based on compressive sampling matching pursuit (CoSaMP) method, realizing the diagnosis of the roller bearing impact fault. A simulation was used to analyze the effects of parameters such as sparsity, SNR and compressive rate on the proposed method and prove the effectiveness of the proposed method.

Equilibrium and Associated Load Distribution in Ball and Roller Bearings Loaded in Five Degrees of Freedom While Neglecting Friction—Part I: General Theory and Application to Ball Bearings

1989 ◽  
Vol 111 (1) ◽  
pp. 142-148 ◽  
Author(s):  
J. M. de Mul ◽  
J. M. Vree ◽  
D. A. Maas
Keyword(s):  
General Theory ◽  
Load Distribution ◽  
High Speed ◽  
Degrees Of Freedom ◽  
Contact Analysis ◽  
Hertzian Contact ◽  
Ball Bearings ◽  
Roller Bearings ◽  
Rolling Element ◽  
Bearing Stiffness

A new, general and consistent mathematical model of highly modular character is presented for calculation of the equilibrium and associated load distribution in rolling element bearings. The bearings may be loaded and displaced in five degrees of freedom. High speed rolling element loading is considered, internal friction is neglected, the material is assumed linearly elastic and the bearing rings are modelled as rigid except for local contact deformation. Either classical Hertzian contact analysis or modern non-Hertzian contact analysis of sophisticated or approximate character is used as applicable. The bearing stiffness matrix is computed analytically and used internally in the iterative bearing equilibrium calculation; its final values may be used for other purposes such as (rotor) dynamics analysis. In Part I, the general theory and application to ball bearings is presented. In Part II, application of the general theory to roller bearings and an experimental verification are presented.

scholarly journals A new approach for the load calculation of the most loaded rolling element for the rolling bearing with internal radial clearance - The case study

2020 ◽  
Author(s):  
Radoslav Tomović
Keyword(s):  
Roller Bearing ◽  
Rolling Bearing ◽  
Radial Clearance ◽  
Practical Application ◽  
New Approach ◽  
Load Factors ◽  
Proposed Model ◽  
Rolling Element ◽  
Load Calculation

Abstract In this paper is presented a case study which has the goal to show the benefits of the application of a new approach for the calculation of load of the most loaded rolling element at the rolling bearing with the internal radial clearance. The calculation is based on the so-called load factors. By multiplication load factors with the value of the external radial load, the load which is transferred by the most loaded rolling element of the bearing is obtained. The case study is made for two types of bearings, the ball, and roller bearing. Obtained results were compared with the results obtained based on the calculation using some of the most commonly used methods so far. The analysis showed greater precision of the considered model with the same or much simpler application. For this reason, the proposed model is considered very suitable for practical application.

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