Dynamic Characteristics of Linear Motion Supported by Rolling Ball Bearings

2004 ◽  
Vol 14 (9) ◽  
pp. 868-876
Keyword(s):  
Dynamic Characteristics ◽  
Ball Bearings ◽  
Linear Motion ◽  
Rolling Ball

Vibration Analysis and Its Application of a Linear Motion Guide Supported by Rolling Ball Bearings

2005 ◽  
Vol 29 (7) ◽  
pp. 955-963 ◽  
Author(s):  
Jae Seok Choi ◽  
Yong-sub Yi ◽  
Yoon Young Kim ◽  
Dong Jin Lee ◽  
Sung Jin Lee ◽  
...  
Keyword(s):  
Vibration Analysis ◽  
Ball Bearings ◽  
Linear Motion ◽  
Rolling Ball ◽  
Linear Motion Guide

An Improved Analytical Model of Friction and Ball Motion in Linear Ball Bearings With Application to Ball-to-Ball Contact Prediction

2018 ◽  
Author(s):  
Bo Lin ◽  
Molong Duan ◽  
Chinedum E. Okwudire ◽  
Jason S. Wou
Keyword(s):  
Analytical Model ◽  
Analytical Formula ◽  
Point Contact ◽  
Friction Model ◽  
Linear Velocity ◽  
Contact Forces ◽  
Ball Bearings ◽  
Friction Behavior ◽  
Rolling Ball ◽  
Ball Contact

The friction behavior of rolling ball machine components like linear ball bearings is very important to their functionality. For instance, differences in linear velocity of balls induces ball-to-ball contact in certain circumstances, resulting in significant increases and variations in friction. In this paper, an improved analytical formula for determining the linear velocity of balls in four-point-contact linear ball bearings is derived as a function of contact angle deviations and contact forces. The analytical formula is validated against a comprehensive friction model in the literature and shown to be in good agreement, while an oversimplified analytical model proposed by the authors in prior work is shown to be inaccurate. A case study is presented where insights gained from the derived analytical formula are used to mitigate velocity difference of balls in a linear ball bearing which otherwise would experience ball-to-ball contact.

Dynamic Characteristics of Motorized Spindle With Tandem Duplex Angular Contact Ball Bearings

2019 ◽  
Vol 141 (6) ◽  
Author(s):  
Shengye Lin ◽  
Shuyun Jiang
Keyword(s):  
Transfer Matrix ◽  
Dynamic Characteristics ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Ball Bearing ◽  
Ball Bearings ◽  
Motorized Spindle ◽  
Angular Contact Ball Bearing ◽  
Stiffness Coefficients ◽  
Proposed Model

Abstract The purpose of this study is to investigate the dynamics of motorized spindle, in which the tilting effect of tandem duplex angular contact ball bearing is considered. First, the quasi-static model of the duplex angular contact ball bearing is developed based on the Jones's bearing model. Then, the model is numerically solved using the Newton–Raphson method to obtain 16 stiffness coefficients (including the tilting ones). Later, a modified transfer matrix method is used to establish the dynamic model of the motorized spindle system with 16 stiffness coefficients. Finally, experiments have been performed to detect the stiffness of the tandem duplex angular contact ball bearing and the unbalance response of the motorized spindle. Results show that the modified transfer matrix method can be used to analyze the dynamic behavior of the motorized spindle supported on tandem duplex angular contact ball bearings, the tilting effect of the tandem duplex angular contact ball bearing affects the dynamic behaviors of the motorized spindle, and the theoretical dynamic characteristics using the proposed model agree with the experimental ones.

Damping the Vibrations of a Rigid Shaft Supported by Ball Bearings by Means of External Elastomeric O-ring Dampers

1994 ◽  
Vol 208 (3) ◽  
pp. 183-190 ◽  
Author(s):  
N Aktürk ◽  
R Gohar
Keyword(s):  
Computer Program ◽  
Frequency Response ◽  
Dynamic Characteristics ◽  
Ball Bearing ◽  
Ball Bearings ◽  
Axial Vibration ◽  
Response Curves ◽  
Elastomeric Dampers

In this paper the radial and axial vibration behaviour of a rigid shaft supported by a pair of back-to-back angular contact ball bearings, mounted on elastomeric O-ring dampers, is studied. The use of elastomeric dampers for reducing the untoward effects of vibrations, due to unbalance of the shaft centre, is investigated. A computer program was developed to simulate such situations with the results presented in the form of frequency response curves and shaft centre orbits. All results showed that elastomeric O-ring dampers can successfully be used for shaft-ball bearing systems as long as the dynamic characteristics of both the system and the elastomeric O-rings are known very well.

scholarly journals Multi-Dimensional Mathematical Wear Models of Vibration Generated by Rolling Ball Bearings Made of AISI 52100 Bearing Steel

Materials ◽  
2020 ◽  
Vol 13 (23) ◽  
pp. 5440
Author(s):  
Paweł Zmarzły
Keyword(s):  
Mathematical Models ◽  
Total Curvature ◽  
Bearing Steel ◽  
Radial Clearance ◽  
Ball Bearings ◽  
Wear Process ◽  
Rolling Ball ◽  
Aisi 52100 ◽  
Aisi 52100 Steel ◽  
The Impact

The paper features the development of multi-dimensional mathematical models used for evaluating the impact of selected factors on the vibration generated by 6304ZZ type rolling ball bearings from three manufacturers in the aspect of the wear process. The bearings were manufactured of AISI 52100 bearing steel. The analyzed factors included the inner and outer raceways’ roundness and waviness deviations, radial clearance and the total curvature ratio. The models were developed for vibration recorded in three frequency ranges: 50–300 Hz, 300–1800 Hz and 1800–10,000 Hz. The paper includes a specification of the principles of operation of innovative measuring systems intended for testing bearing vibration, raceway geometries and radial clearance. Furthermore, it features a specification of particular stages of the multi-dimensional mathematical models’ development and verification. Testing with the purpose of statistical evaluation of the analyzed factors is also presented. The test results and mathematical models indicate that the inner raceway’s waviness deviation had a dominant impact on the vibration examined in all frequencies. The roundness and waviness deviation of bearing raceways made of AISI 52100 steel propagates the bearing wear process.

scholarly journals Research accuracy of final formation profile of rolling ball bearings by various methods.

2020 ◽  
Vol 971 ◽  
pp. 022073
Author(s):  
M K Reshetnikov ◽  
O Y Davidenko ◽  
V V Shpilev ◽  
M Y Zakharchenko
Keyword(s):  
Ball Bearings ◽  
Rolling Ball

Measurement of Dynamic Responses of a Force Sensor against Small Impact Forces with Various Durations

2016 ◽  
Vol 698 ◽  
pp. 73-79
Author(s):  
Naoki Miyashita ◽  
Kazuhide Watanabe ◽  
Akihiro Takita ◽  
Mitra Djamal ◽  
Takao Yamaguchi ◽  
...  
Keyword(s):  
Dynamic Characteristics ◽  
Impact Force ◽  
Inertial Force ◽  
Force Sensor ◽  
Small Mass ◽  
High Accuracy ◽  
Dynamic Responses ◽  
Linear Motion ◽  
Impact Forces ◽  
The Impact

At present, a method for evaluating dynamic characteristics of force sensors against small and short-duration impact forces has been developed. In this method, a small mass collides with a force sensor and the impact force is measured with high accuracy as the inertial force of the mass. A pneumatic linear bearing is used in order to realize linear motion with sufficiently small friction acting on the mass, i.e., the moving part of the bearing. Using this method, the dynamic characteristics of the force sensor are evaluated in detail: small and various-duration impact forces with maximum values of approximately 0.4-6.0 N and full width at half maximum (FWHM) of approximately 0.6-2.8 ms are applied to the force sensor and the impact responses of the force sensor are evaluated.

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