Analysis of Ball Bearing Vibrations Caused by Outer Race Waviness

1998 ◽  
Vol 120 (4) ◽  
pp. 901-908 ◽  
Author(s):  
K. Ono ◽  
Y. Okada
Keyword(s):  
Experimental Investigation ◽  
Analytical Study ◽  
Ball Bearing ◽  
Analytical Investigation ◽  
Outer Race ◽  
Number Of Factors ◽  
Rolling Elements ◽  
Race Track ◽  
Bearing Vibration ◽  
Radial Gap

An analytical investigation of the shaft vibration caused by a ball bearing is presented in this paper. Bearing vibration could be caused by a number of factors, such as defects occurring on the race track or the rolling elements. A common problem with defective bearings is the generation of waviness on the outer race track during the manufacturing process. The vibration of an automobile drive shaft caused by rolling elements rolling over the waviness surface is transmitted to the passenger cabin, and produces undesirable noise. In this paper an analytical study is undertaken to evaluate the effect of waviness number, radial gap and shaft imbalance on the bearing vibration. An experimental investigation was carried out to confirm the analytical study. The results show that the analytical study and experimental investigation agree very well.

Analysis of Ball Bearing Vibrations Caused by Outer Race Waviness

1997 ◽  
Author(s):  
Koichiro Ono ◽  
Yohji Okada
Keyword(s):  
Experimental Investigation ◽  
Analytical Study ◽  
Ball Bearing ◽  
Vibration Spectrum ◽  
Outer Race ◽  
Rolling Elements ◽  
Race Track ◽  
Efficient Machine ◽  
Radial Gap ◽  
Passenger Cabin

Abstract Even with the use of highly efficient machine, the manufacturing of rolling elements bearings still results in defective bearings. The defects could be on the race track or the rolling elements. A common problem with defective bearing is the generating waviness on the outer race track during the manufacturing process. The vibrations caused by rolling elements rolling over the waviness surface is transmitted to the passenger cabin and produced unwanted noise. In this paper an analytical study was first undertaken to evaluate the effect of waviness number, radial gap and shaft unbalance on the vibration spectrum. Experimental investigation was carried out to confirm the analytical study. The experimental results agreed very well with the numerical analysis.

An improved model for investigating the vibration characteristics of ball bearing owing to outer race waviness under high speed

2021 ◽  
Vol 69 (2) ◽  
pp. 89-101
Author(s):  
Pingping Hou ◽  
Liqin Wang ◽  
Zhijie Xie ◽  
Qiuyang Peng
Keyword(s):  
High Speed ◽  
Ball Bearing ◽  
Vibration Measurement ◽  
Vibration Frequencies ◽  
Outer Race ◽  
Response Characteristics ◽  
Lagrange’S Equation ◽  
Rolling Elements ◽  
Initial Clearance ◽  
Improved Model

In this study, an improved model for a ball bearing is established to investigate the vibration response characteristics owing to outer race waviness under an axial load and high speed. The mathematical ball bearing model involves the motions of the inner ring, outer ring, and rolling elements in the radial XY plane and axial z direction. The 2Nb + 5 nonlinear differential governing equations of the ball bearing are derived from Lagrange's equation. The influence of rotational speed and outer race waviness is considered. The outer race waviness is modeled as a superposition of sinusoidal function and affects both the contact deformation between the outer raceway and rolling elements and initial clearance. The MATLAB stiff solver ODE is utilized to solve the differential equations. The simulated results show that the axial vibration frequency occurred at l fc and the radial vibration frequencies appeared at l fc fc when the outer race waviness of the order (l) was the multiple of the number of rolling elements (k Nb) and that the principal vibration frequencies were observed at l fc fc in the radial x direction when the outer race waviness of the order (l) was one higher or one lower than the multiple of the number of rolling elements (k Nb 1). At last, the validity of the proposed ball bearing model was verified by the high-speed vibration measurement tests of ball bearings.

Motions of an Unstable Retainer in an Instrument Ball Bearing

1994 ◽  
Vol 116 (2) ◽  
pp. 202-208 ◽  
Author(s):  
E. Kingsbury ◽  
R. Walker
Keyword(s):  
Experimental Investigation ◽  
Rigid Body ◽  
Rotation Rate ◽  
High Frequency ◽  
Ball Bearing ◽  
Stable Operation ◽  
Frequency Content ◽  
Outer Race ◽  
Group Rotation ◽  
Inner Race

We made an experimental investigation of the motions of the retainer in an instrument ball bearing during stable operation and during squeal. Radial motions of the retainer were measured with two fiber-light probes mounted 90 physical degrees apart. A signal analyzer was used to determine the phasing and frequency content of the probe signals. During squeal, a high-frequency retainer motion was found to be superimposed on the normal retainer ball group rotation rate. This high-frequency motion, which we call whirl, is a rigid-body translation in a circle. Whirl direction is opposite to the race for outer-race rotation, but in the same direction for inner-race rotation. Whirl frequency is approximately proportional to ball spin rate. The observations agree with predictions made from a squeal model based on retainer-to-ball frictional coupling that was originally presented in 1965.

scholarly journals Analisa Getaran Akibat Kerusakan Deep Grove Ball Bearing Seri 6003RS

2019 ◽  
Vol 9 (02) ◽  
pp. 39-43
Author(s):  
Muhamad Riva’i ◽  
Nanda Pranandita
Keyword(s):  
Ball Bearing ◽  
Rolling Bearing ◽  
Internal Diameter ◽  
Outer Diameter ◽  
Outer Race ◽  
Deep Groove ◽  
Deep Groove Ball Bearing ◽  
Rolling Element ◽  
Rolling Elements ◽  
Vibration Measuring

Measurement of the damage of elements in bearing can be by measuring the vibration generated in the form of a frequency signal when the pad is rotating. Measurement of vibration on the bearing by using vibration measuring instrument. Damage to the rolling bearing includes damage to the cage, outer ring, inner ring and balls. The rolling bearings used in this study are deep groove ball bearing type 6003 RS with internal diameter (d) = 17 mm, outer diameter (D) = 35 mm, bearing thickness (B) = 10, number of rolling elements (Nb) = 10 pieces, and the diameter of the rolling element (Bd) = 4.75 mm. In the rotation of the bearing (Fr) = 2003 rpm (33.38 Hz) we found the experimental results of bearings that have been damaged in the outer race at 138 Hz frequency, inner race damage at 196 Hz frequency, (ball) at a frequency of 88.8 Hz and cage damage at a frequency of 13.8 Hz.

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.

Some characteristic parameters affecting the natural frequency of a rotating shaft supported by defect-free ball bearings

2003 ◽  
Vol 217 (2) ◽  
pp. 145-151 ◽  
Author(s):  
N Akturk
Keyword(s):  
Ball Bearing ◽  
Analytical Investigation ◽  
Characteristic Parameters ◽  
Rotating Shaft ◽  
Angular Contact Ball Bearing ◽  
Force Relation ◽  
Rolling Elements ◽  
State Position ◽  
Bearing Assembly ◽  
Good Agreement

It is now well known that the preload and number of rolling elements of an angular contact ball bearing are two important parameters that affect the bearing-induced vibration of a shaft-bearing assembly. Increasing the preload changes the steady state position of the vibration on the non-linear contact-force relation of the bearing, resulting in the shaft mass being supported on stiffer springs. A larger number of rolling elements causes a similar stiffer equivalent spring. The ball set position is another parameter that affects the vibration of the system. These effects have been investigated by different researchers with simulation programs, and their findings are also supported by the experimental evidence of other researchers. In this paper, therefore, a new analytical investigation into the effects of preload, the number of rolling elements and ball set position is made. Analytical results are found to be in good agreement with simulation results.

scholarly journals A theoretical model for predicting the vibration response of outer race defective ball bearing

2018 ◽  
Vol 7 (2) ◽  
pp. 289
Author(s):  
Samir Shaikh ◽  
Sham Kulkarni
Keyword(s):  
Theoretical Model ◽  
Ball Bearing ◽  
Mathematical Formulation ◽  
Vibration Response ◽  
Contact Forces ◽  
Hertzian Contact ◽  
Outer Race ◽  
Rolling Element ◽  
Rolling Elements ◽  
Extended Type

The theoretical model with 2 degree-of-freedom system is developed for predicting the vibration response and analyze frequency properties in an extended type defective ball bearing. In the mathematical formulation, the contact between the races and rolling element considered as non-linear springs. The contact forces produced during the collaboration of rolling elements are obtained by utilizing Hertzian contact deformation hypothesis. The second order nonlinear differential equation of motion is solved using a state space variable method with the help of MATLAB software and the vibration acceleration response of the defective ball bearing presented in the frequency spectrum. The effects of variation in speed and size of the defect on characteristic frequency of extended fault on the outer raceway of the ball bearing have been investigated. The theoretical results of the healthy (non defective) and defective bearing are compared with each other.

scholarly journals Analisa Kerusakan Bantalan Bola (Ball Bearing) Berdasarkan Signal Getaran

2019 ◽  
Vol 10 (02) ◽  
pp. 41-46
Author(s):  
Muhamad Riva’i ◽  
Nanda Pranandita
Keyword(s):  
Ball Bearing ◽  
Rolling Bearing ◽  
Internal Diameter ◽  
Outer Diameter ◽  
Outer Race ◽  
Deep Groove ◽  
Deep Groove Ball Bearing ◽  
Rolling Element ◽  
Rolling Elements ◽  
Vibration Measuring

Measurement of the damage of elements in bearing can be by measuring the vibration generated in the form of a frequency signal when the pad is rotating. Measurement of vibration on the bearing by using vibration measuring instrument. Damage to the rolling bearing includes damage to the cage, outer ring, inner ring and balls. The rolling bearings used in this study are deep groove ball bearing type 6003 RS with internal diameter (d) = 17 mm, outer diameter (D) = 35 mm, bearing thickness (B) = 10, number of rolling elements (Nb) = 10 pieces, and the diameter of the rolling element (Bd) = 4.75 mm. In the rotation of the bearing (Fr) = 2003 rpm (33.38 Hz) we found the experimental results of bearings that have been damaged in the outer race at 138 Hz frequency, inner race damage at 196 Hz frequency, (ball) at a frequency of 88.8 Hz and cage damage at a frequency of 13.8 Hz

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