scholarly journals Influence of Geometric Error of Rollers on Rotational Accuracy of Cylindrical Roller Bearings

2019 ◽  
Vol 37 (4) ◽  
pp. 774-784
Author(s):  
Yongjian Yu ◽  
Guoding Chen ◽  
Jishun Li ◽  
Yujun Xue
Keyword(s):  
Prediction Method ◽  
Geometric Error ◽  
Geometric Errors ◽  
Motion Error ◽  
Roundness Error ◽  
Roller Bearings ◽  
Odd Order ◽  
Even Order ◽  
The Relationship ◽  
Cylindrical Roller

As the rotation of roller bearings is carried out under geometrical constraint of the inner ring, outer ring and multiple rollers, the motion error of the bearing should also be resulted from geometric errors of bearing parts. Therefore, it is crucial to establish the relationship between geometric errors of bearing components and motion error of assembled bearing, which contributes to improve rotational accuracy of assembled bearing in the design and machining of the bearing. For this purpose, considering roundness error and dimension error of the inner raceway, the outer raceway and rollers, a prediction method for rotational accuracy of cylindrical roller bearings is proposed, and the correctness of the proposed prediction method is verified by experimental results. The influences of roller's geometric error distribution, roller's roundness error and the number of rollers on the runout value of inner ring are investigated. The results show that, the roller arrangement with different geometric errors has a significant impact on rotational accuracy of cylindrical roller bearings. The rotational accuracy could be improved remarkably when multiple rollers with different dimension error are distributed alternately according to the size error. Even-order roundness error of rollers has a significant effect on the rotational accuracy, and the decrease level depends on the orders of roundness errors of bearing parts and the number of rollers. But odd-order roundness error of rollers has almost no effect on the rotational accuracy. The rotational accuracy of assembled bearing would be significantly improved or decreased when even order harmonic of rollers and the number of rollers satisfy specific relationships. The greater the order of roundness error of the rollers, the more severe the influence of the roller number on rotational accuracy of assembled bearing. The rotational accuracy can not be always improved with the increase of the number of rollers.

scholarly journals Prediction Method for the Radial Runout of Inner Ring in Cylindrical Roller Bearings

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Yongjian Yu ◽  
Guoding Chen ◽  
Jishun Li ◽  
Yujun Xue ◽  
Bitao Pang
Keyword(s):  
Prediction Method ◽  
Accurate Method ◽  
Geometric Error ◽  
Geometrical Constraint ◽  
Motion Error ◽  
Form Errors ◽  
Roller Bearings ◽  
Constraint Model ◽  
The Relationship ◽  
Cylindrical Roller

The motion error of assembled bearing depends on the geometric profile of bearing components. Therefore, it is crucial to establish the relationship between geometric error of bearing components and motion error of assembled bearing, which contributes to improving the rotational accuracy of assembled bearing in the design and machining of the bearing. The main purpose of this research is to propose an accurate method for predicting the radial runout of inner ring based on the geometrical constraint model of cylindrical roller bearings. In the geometrical constraint model, dimension and form errors in the inner raceway, the outer raceway, and rollers are considered, and the change of contact positions between the raceways and rollers caused by geometric errors of bearing components is taken into account. This method could predict the radial runout of inner ring after bearing components with geometric error are assembled. In order to testify the validity of the proposed prediction method, two particular cases in which the profiles of the inner raceway are circle and ellipse are selected, and the analysis algorithms for the radial runout of inner ring are derived. Two analytical results obtained from the analysis algorithms validate accuracy and effectiveness of the proposed prediction method.

Effect of Geometric Error of Inner Raceway on Motion of Cylindrical Roller Bearings Under Radial Load

2018 ◽  
Author(s):  
Li Jishun ◽  
Yu Yongjian ◽  
Xue Yujun ◽  
Zhou Yuankun ◽  
Guan Zhiqiang
Keyword(s):  
Roller Bearing ◽  
Geometric Error ◽  
Radial Clearance ◽  
Radial Load ◽  
Compatibility Equation ◽  
Motion Error ◽  
Roundness Error ◽  
Cylindrical Roller Bearing ◽  
Geometric Compatibility ◽  
Cylindrical Roller

The motion error of bearing depends highly on the geometric profile of bearing components. Therefore, it is crucial to establish a correlation between the geometric error of bearing components and the motion error of an assembled bearing, which is required for designing and manufacturing bearings with high accuracy of motion. In this paper, authors derived a geometric compatibility equation for cylindrical roller bearing considering the geometric error of bearing inner raceway. Based on the load balance and the geometric compatibility derived, a mathematical model of motion accuracy is established, and the model is also validated. The effect of geometric error such as the amplitude of roundness error and dimension error of bearing inner raceway, and radial clearance on the bearing motion error is investigated. Results show that the motion error of the bearing increases with the amplitude of the roundness error of inner raceway, and reduces with the increase of radial load. The results indicated that the motion accuracy can be improved by controlling the distribution of machining tolerance of bearing components.

Research on Motion Error of Cylindrical Roller Bearings Under Radial Load

2018 ◽  
Author(s):  
Yu Yongjian ◽  
Li Jishun ◽  
Chen Guoding ◽  
Xue Yujun ◽  
Si Zhuoyi ◽  
...  
Keyword(s):  
Radial Displacement ◽  
Rolling Bearing ◽  
Outer Ring ◽  
Geometric Errors ◽  
Radial Load ◽  
Harmonic Order ◽  
Motion Error ◽  
Roundness Error ◽  
Rotary Speed ◽  
Cylindrical Roller

Since the rotary motion of a rolling bearing is implemented by bearing components under geometric constraints, the motion accuracy of an assembled bearing should also be the result of interaction among geometric errors of bearing components. Therefore, it is significant to understand the relationship between the geometric errors of bearing components and motion accuracy of an assembled bearing for the design of high accuracy bearing. Based on quasi-static analytical method, a mathematical model for motion error of cylindrical roller bearings is established considering the roundness error of outer raceway. The motion error of a rolling bearing is affected by the amplitude and harmonic order of the roundness error of outer raceway, number of rollers and the operating conditions such as radial load, rotary speed of outer ring. The effects of above parameters are analyzed. The results show that the motion accuracy of a cylindrical roller bearing degrades with the increase of amplitude of the roundness error of outer raceway and the rotary speed of outer ring. The variation of the radial displacement of outer ring varies periodically with the increase of the harmonic order of the roundness error of outer raceway, and its period is equal to the roller number. With the increase of the roller number, the variation of radial displacement of the outer ring fluctuates. The larger the radial load is, the smaller the variation of radial displacement of outer ring is. The results would be helpful to reduce the production costs by controlling the distribution of machining tolerance of bearing components.

An Algorithm to Prediction the Radial Runout of Cylindrical Roller Bearings

2011 ◽  
Vol 80-81 ◽  
pp. 551-555 ◽  
Author(s):  
Yong Gang Liu ◽  
Ji Shun Li ◽  
Wen Xiang Shi ◽  
Xian Zhao Jia
Keyword(s):  
Performance Parameter ◽  
Outer Ring ◽  
Roundness Error ◽  
Roller Bearings ◽  
Cylindrical Roller

Radial runout is a major performance parameter of running accuracy of bearings. In order to increase the running accuracy of cylindrical roller bearings, a new algorithm is presented. Firstly, the principle of program is researched under some suitable conditions. Secondly, the process and structure of program is described in detail. In the end, the influence of the size of roundness error on the radial runout of bearings is researched. The results show that the radial runout increases 7 times higher with the increase of roundness error size of outer ring.

A Strategy for Geometric Error Characterization in Multi-Axis Machine Tool by Use of a Laser Tracker

2014 ◽  
Vol 615 ◽  
pp. 22-31 ◽  
Author(s):  
Sergio Aguado ◽  
Jorge Santolaria ◽  
David Samper ◽  
Juan Jose Aguilar Martín
Keyword(s):  
Machine Tool ◽  
Kinematic Model ◽  
Kinematic Chain ◽  
Geometric Error ◽  
Laser Tracker ◽  
Geometric Errors ◽  
Kinematic Chains ◽  
Error Characterization ◽  
Machine Tool Accuracy ◽  
The Relationship

This paper aims to present different methods of volumetric verification in long range machine toll with lineal and rotary axes using a commercial laser tracker as measurement system. This method allows characterizing machine tool geometric errors depending on the kinematic of the machine and the work space available during the measurement time. The kinematic of the machine toll is affected by their geometric errors, which are different depending on the number and type of movement axes. The relationship between the various geometrical errors is different from relationship obtained in machine tool whit only lineal axes. Therefore, the identification strategy should be different. In the same way, the kinematic chain of the machine tool determines determines the position of the laser tracker and available space for data capture. This paper presents the kinematic model of several machine tools with different kinematic chains use to improve the machine tool accuracy of each one by volumetric verification. Likewise, the paper thus presents a study of: the adequacy of different nonlinear optimization strategies depending on the type of axis and the usable space available.

Tolerance Analysis of Machining Fixture Locators

1999 ◽  
Vol 121 (2) ◽  
pp. 273-281 ◽  
Author(s):  
S. A. Choudhuri ◽  
E. C. De Meter
Keyword(s):  
Simulation Study ◽  
Tolerance Analysis ◽  
Geometric Error ◽  
Geometric Errors ◽  
Worst Case ◽  
The Impact ◽  
The Relationship

The geometric variability of locators within a machining fixture is a known source of datum establishment error and machined feature geometric error. A locator tolerance is used to specify the range of permissible locator variation. Currently there are no models that relate a locator tolerance scheme to the worst case geometric errors that may result due to datum establishment error. This paper presents a methodology for modeling and analyzing the impact of a locator tolerance scheme on the potential datum related, geometric errors of linear, machined features. This paper also provides a simulation study in which locator tolerance analysis is applied to reveal some important insights into the relationship between machined feature geometric error, locator design, and locator tolerance scheme.

Effect of cage dynamic unbalance on the cage’s dynamic characteristics in high-speed cylindrical roller bearings

2019 ◽  
Vol 71 (10) ◽  
pp. 1125-1135 ◽  
Author(s):  
Yongcun Cui ◽  
Sier Deng ◽  
Haisheng Yang ◽  
Wenhu Zhang ◽  
Rongjun Niu
Keyword(s):  
High Speed ◽  
Analysis Model ◽  
Skew Angle ◽  
Slip Ratio ◽  
Content Type ◽  
Roller Bearings ◽  
Dynamic Performances ◽  
The Relationship ◽  
Cylindrical Roller ◽  
Dynamic Unbalance

Purpose The purpose of this paper is to study the influence of the cage dynamic unbalance on the dynamic performances in cylindrical roller bearings. Design/methodology/approach The dynamic analysis model which considering cage dynamic unbalance is presented, and the relationship between the cage dynamic unbalance and the cage stability, the cage slip ratio and the cage skew angle is investigated. Findings Cage dynamic unbalance has a great effect on the cage stability. The cage dynamic unbalance which in an axial excursion affects the cage characteristics is greater than that only in the radial direction. The cage slip ratio and the cage skew increases with the cage dynamic unbalance, especially with the axial excursion. The non-metal cage is more sensitive to the cage dynamic unbalance than that of the metal cage. Originality/value The analytical method and model can be applied by the bearing engineering designers.

scholarly journals A method for identifying  and predicting the geometric errors of a rotating axis

2020 ◽  
Author(s):  
Jinwei Fan ◽  
Peitong Wang ◽  
Haohao Tao ◽  
Zhongsheng Li ◽  
Jian Yin
Keyword(s):  
Machine Tool ◽  
Prediction Method ◽  
Geometric Error ◽  
Geometric Errors ◽  
Error Identification ◽  
Rotary Axis ◽  
Double Ball Bar ◽  
Ball Bar ◽  
Discrete Values ◽  
Identification Model

Abstract To improve the machine tool accuracy, an integrated geometric error identification and prediction method is proposed to eliminate the positioning inaccuracy of tool ball for a double ball bar (DBB) caused by the rotary axis’ geometric errors in a multi-axis machine tool. In traditional geometric errors identification model based on homogenous transformation matrices (HTM), the elements of position-dependent geometric errors(PDGEs) are defifined in the local frames attached to the axial displacement, which is inconvenient to do redundance analysis. Thus, this paper proposed an integrated geometric error identification and prediction method to solve the uncertainty problem of the PDGEs of rotary axis. First, based on homogeneous transform matrix (HTM) and multi-body system (MBS) theory, The transfer matrix only considering the rotary axes is derived to determine the tool point position error model. Then a geometric errors identification of rotary axis is introduced by measuring the error increment in three directions. Meanwhile the geometric errors of C-axis are described as position-dependent truncated Fourier polynomials caused by fitting discrete values. Thus, The geometric error identification is converted to the function coefficient. Finally, the proposed new prediction and identification model of PDGEs in the global frame are verified through simulation and experiments with double ball-bar tests.

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