The Effect of Waviness on Vibrations Associated Witli Ball Bearings

1999 ◽  
Vol 121 (4) ◽  
pp. 667-677 ◽  
Author(s):  
Nizami Aktu¨rk
Keyword(s):  
Computer Program ◽  
Ball Bearings ◽  
Surface Waviness ◽  
Outer Race ◽  
Rolling Surface ◽  
Frequency Domains ◽  
Axial Vibrations ◽  
Experimental Researches ◽  
Inner Race ◽  
Time And Frequency Domains

In this paper, the radial and axial vibrations of a rigid shaft supported by a pair of angular contact ball bearings is studied. The effect of bearing running surface waviness on the vibration of the shaft is investigated. A computer program was developed to simulate inner race, outer race, and rolling surface waviness with the results presented in time and frequency domains. Results obtained from the similation programme are quantatively in good aggrement with various authors’ experimental researches.

The effect of ball size variation on vibrations associated with ball-bearings

1998 ◽  
Vol 212 (2) ◽  
pp. 101-110 ◽  
Author(s):  
N Aktärk ◽  
R Gohar
Keyword(s):  
Computer Program ◽  
Size Variation ◽  
Ball Bearings ◽  
Radial Vibrations ◽  
Ball Size ◽  
Frequency Domains ◽  
Axial Vibrations ◽  
Time And Frequency Domains

In this paper the radial and axial vibrations of a rigid shaft supported by a pair of angular contact ball-bearings is studied. The effect of ball size variation in the bearings on the vibration of the shaft is investigated. A computer program was developed to simulate this effect, with the results presented in time and frequency domains. All results show that off-sized balls in the bearing cause vibrations at cage speed and its harmonics, depending on their arrangement within the bearing. Symmetric combinations will produce vibrations at the multiples of the cage speed and all other combinations will produce vibrations at the cage speed. The highest radial vibrations due to ball size variation are at a speed of half of the number of balls times the cage speed.

scholarly journals Investigation of Factors Influencing the Structural Vibration in Ball Bearings

2000 ◽  
Vol 6 (5) ◽  
pp. 321-331 ◽  
Author(s):  
Kapil Mehra ◽  
Kambiz Farhang ◽  
Jayanta Datta
Keyword(s):  
High Speed ◽  
Structural Vibration ◽  
Ball Bearings ◽  
Appreciable Change ◽  
Outer Race ◽  
Nonlinear Springs ◽  
Lumped Parameter ◽  
Intermittent Contact ◽  
Parameter Approach ◽  
Inner Race

Hertzian equation for elastic contact is utilized along with lumped parameter approach to obtain the equations that govern the structural vibration of ball bearings. The lumped parameter formulation is obtained by treating various elements with mass lumped at their centers of gravity and the contact as nonlinear springs with nonlinear spring rates.Effects of preload, ball rotational speed, and damping are studied using the formulation. It is found that in the presence of preload, irrespective of the load magnitude, contact is maintained with both the inner and the outer races. Hence, responses obtained with and without the check for ball/inner race and ball/outer race interferences are identical. In addition, no appreciable change is observed in the responses when the preload value is varied from 1 to 10 N. At high speed of operation, the balls are found to maintain contact with the outer ring, whereas intermittent contact with the inner ring occurs for brief periods of time. Introduction of lubricant is found to dampen the oscillations considerably.

A Dynamic Analysis of Cage Instability in Ball Bearings

2017 ◽  
Vol 140 (1) ◽  
Author(s):  
Takashi Nogi ◽  
Kazuaki Maniwa ◽  
Noriko Matsuoka
Keyword(s):  
Friction Coefficient ◽  
Dynamic Analysis ◽  
High Speed ◽  
Contact Stiffness ◽  
Ball Bearings ◽  
Analysis Program ◽  
Outer Race ◽  
Group Speed ◽  
Rotational Direction ◽  
Inner Race

Cage motions in ball bearings are investigated using a dynamic analysis program. Increases in the cage friction coefficient induce unstable motions of the cage. The instability is more likely to occur under high load and low‐speed conditions due to less ball-race sliding. A simple theory of cage instability is developed, and a critical cage friction coefficient formula is proposed, which is a function of the cage mass, ball-race traction, ball-cage contact stiffness, cage rotational speed, and number of balls. The prediction of this formula agrees with the results of the dynamic analysis. With a nonuniform separation between the balls, a high-speed whirl is superimposed on the normal whirl with the ball group speed. The direction of the high-speed whirl is the same as the cage rotational direction in inner race rotation (IR), but they are opposite in outer race rotation (OR). These results agree with some experimental results in the literature and validate the dynamic analysis.

Investigation of Dynamic Processes in Ball Bearings with Defects

2013 ◽  
Vol 198 ◽  
pp. 651-656 ◽  
Author(s):  
Marijonas Bogdevičius ◽  
Viktor Skrickij
Keyword(s):  
Mathematical Model ◽  
Ball Bearing ◽  
Dynamic Processes ◽  
Experimental Investigations ◽  
Ball Bearings ◽  
Outer Race ◽  
Rolling Element ◽  
Inner Race

The paper considers the dynamics of ball bearings with defects. A mathematical model of a ball bearing with defects is offered. The performed theoretical and experimental investigations of ball bearings with defects are described. Five cases of various defects are investigated, including the defective outer race, the defective inner race, the defective rolling element, the defective inner and outer races, the rolling element and a separator, the worn-out ball bearing.

scholarly journals Performance of 75-Millimeter Bore Arched Outer-Race Ball Bearings

1977 ◽  
Vol 99 (3) ◽  
pp. 346-352 ◽  
Author(s):  
H. H. Coe ◽  
B. J. Hamrock
Keyword(s):  
Experimental Data ◽  
Computer Program ◽  
Analytical Study ◽  
Ball Bearing ◽  
Ball Bearings ◽  
Shaft Speed ◽  
Operating Characteristics ◽  
Outer Race ◽  
Deep Groove ◽  
Deep Groove Ball Bearing

An investigation was performed to determine the operating characteristics of 75-mm bore, arched outer-race bearings, and to compare the data with those for a similar, but conventional, deep groove ball bearing. Further, results of an analytical study, made using a computer program developed previously, were compared with the experimental data. Bearings were tested up to 28,000 rpm shaft speed with a load of 2,200 N (500 lb). The amount of arching was 0.13, 0.25, and 0.51 mm (0.005, 0.010, and 0.020 in.). All bearings operated satisfactorily. The outer-race temperatures and the torques, however, were consistently higher for the arched bearings than for the conventional bearings.

Numerical investigation of the oil–air distribution inside ball bearings with under-race lubrication

2021 ◽  
pp. 135065012110105
Author(s):  
Le Jiang ◽  
Yaguo Lyu ◽  
Wenjun Gao ◽  
Pengfei Zhu ◽  
Zhenxia Liu
Keyword(s):  
High Speed ◽  
Ball Bearing ◽  
Volume Fraction ◽  
Volume Flow Rate ◽  
Ball Bearings ◽  
Outer Race ◽  
Rotating Speed ◽  
Oil Distribution ◽  
Hole Configuration ◽  
Inner Race

Oil distribution inside the under-race lubricated bearing is crucial for lubrication and cooling of high-speed ball bearings. An under-race lubricated ball bearing is modeled to numerically investigate the effects of operating parameters and feed hole configuration on the distribution behavior of lubricant oil. The results of the numerical simulation indicate that the average oil volume fraction changes with a convex trend as the outer race rotating speed increases, while it changes monotonically with the inner race rotating speed, oil volume flow rate, and oil temperature. The extent of oil spreading on the outer race, cage, ball, and inner race decreases successively. Optimizing the feed hole configuration according to the average oil volume fraction is helpful to achieve precise lubrication of the under-race lubricated ball bearing.

scholarly journals The Vibrations of Radial Ball Bearings

1985 ◽  
Vol 199 (3) ◽  
pp. 181-193 ◽  
Author(s):  
H Rahnejat ◽  
R Gohar
Keyword(s):  
Theoretical Analysis ◽  
Small Amplitude ◽  
Ball Bearings ◽  
Surface Waviness ◽  
Harmonic Frequency ◽  
Linear Elastic ◽  
Gravity Load ◽  
Deep Groove ◽  
Oil Films ◽  
Inner Race

This paper presents a theoretical analysis of the vibration response of a rotating rigid shaft supported by two radial deep-groove lubricated ball bearings. The bearings and their oil films are approximated to a set of non-linear elastic springs and dampers rotating relative to the shaft when it is subjected to a rotating unbalance or inner race surface waviness. Under gravity load, the shaft's initial vibration is damped down to a limit cycle operating at a quasi-simple harmonic frequency of small amplitude. Rotating unbalance and surface features introduce further significant frequencies which influence the output response.

scholarly journals Parametric Study of the Lubrication of Thrust Loaded 120-MM Bore Ball Bearings to 3 Million DN

1974 ◽  
Vol 96 (3) ◽  
pp. 515-524 ◽  
Author(s):  
H. Signer ◽  
E. N. Bamberger ◽  
E. V. Zaretsky
Keyword(s):  
Parametric Study ◽  
Contact Angles ◽  
Inlet Temperature ◽  
Ball Bearings ◽  
Outer Race ◽  
Lubricant Flow ◽  
Endurance Tests ◽  
High Degree ◽  
Inner Race

A parametric study was performed with 120-mm bore angular-contact ball bearings under varying thrust loads, bearing and lubricant temperatures, and cooling and lubricant flow rates. Contact angles were nominally 20 and 24 deg with bearing speeds to 3 million DN. Endurance tests were run at 3 million DN and a temperature of 492 K (425 deg F) with 10 bearings having a nominal 24-deg contact angle at a thrust load of 22241 N (5000 lb). Bearing operating temperature, differences in temperatures between the inner and outer races, and bearing power consumption can be tuned to any desirable operating requirement by varying 4 parameters. These parameters are outer-race cooling, inner-race cooling, lubricant flow to the inner race, and oil inlet temperature. Preliminary endurance tests at 3 million DN and 492 K (425 deg F) indicate that long-term bearing operation can be achieved with a high degree of reliability.

An Experimental Research on the Vibration Reduction of Ball Bearings by Superfinishing Process

2016 ◽  
Vol 693 ◽  
pp. 1509-1516
Author(s):  
Wen Tao Liu ◽  
Yun Zhang ◽  
Zhi Jing Feng ◽  
Dong Feng Wang
Keyword(s):  
Experimental Research ◽  
Vibration Reduction ◽  
Ball Bearings ◽  
Considerable Influence ◽  
Medium Frequency ◽  
Outer Race ◽  
Excitation Frequencies ◽  
Inner Race

An experimental research on the reduction of vibration of ball bearings is provided in this paper. The waviness of inner race and outer race are decreased by superfinishing process, and their excitation frequencies are obtained. After the bearings’ vibration is tested, the powers of vibration distributed in different frequency regions are computed. The results reveal that the waviness excitations have a considerable influence on vibration of ball bearings in medium-frequency ranges, and the vibration can be reduced greatly by superfinishing process.

scholarly journals Operating Limitations of High-Speed Jet-Lubricated Ball Bearings

1976 ◽  
Vol 98 (1) ◽  
pp. 32-39 ◽  
Author(s):  
E. V. Zaretsky ◽  
H. Signer ◽  
E. N. Bamberger
Keyword(s):  
Contact Angle ◽  
Flow Rate ◽  
Parametric Study ◽  
High Speed ◽  
Ball Bearings ◽  
Test Results ◽  
Outer Race ◽  
Lubricant Flow ◽  
Thrust Load ◽  
Inner Race

A parametric study was performed with 120-mm bore angular-contact ball bearings having a nominal contact angle of 20 deg. The bearings either had an inner- or an outer-race land riding cage. Lubrication was by recirculating oil jets. The oil jets either had a single or dual orifice. Thrust load, speed, and lubricant flow rate were varied. Test results were compared with those previously reported and obtained from bearings of the same design which were under-race lubricated but run under the same conditions. Jet lubricated ball bearings were limited to speeds less than 2.5 × 106 DN. Bearings having inner-race land riding cages produced lower temperatures than bearings with outer-race land riding cages. For a given lubricant flow rate dual orifice jets produced lower bearing temperatures than single orifice jets. However, under-race lubrication produced under all conditions of operation lower bearing temperatures with no apparent bearing speed limitation.

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