Improved model of a ball bearing for the simulation of vibration signals due to faults during run-up

2011 ◽  
Vol 330 (17) ◽  
pp. 4287-4301 ◽  
Author(s):  
Matej Tadina ◽  
Miha Boltežar
Keyword(s):  
Ball Bearing ◽  
Vibration Signals ◽  
Run Up ◽  
Improved Model

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.

scholarly journals DIAGNOSA KERUSAKAN BANTALAN BOLA MENGGUNAKAN METODE SUPPORT VECTOR MACHINE

2019 ◽  
Vol 18 (1) ◽  
Author(s):  
Muhammad Fathurrohman ◽  
R. Lulus Lambang G. H ◽  
Didik Djoko Susilo
Keyword(s):  
Support Vector Machine ◽  
Ball Bearing ◽  
Training Model ◽  
Support Vector ◽  
Classification Problems ◽  
Vibration Signals ◽  
Svm Classification ◽  
Outer Race ◽  
Rbf Kernel ◽  
Using Data

<p><em>Bearings are the critical part of any rotating machine. The catastrophic failure of the bearing can lead to fatal and harmful to the operation of the machine. Therefore, predictive maintenance based on condition monitoring of bearing is very important. The objective of this research is to apply Support Vector Machine (SVM) method for fault diagnosis of the ball bearing. The research was carried out at the bearing test rig. Four types of ball bearing condition, such as normal, inner race defect, ball defect, and outer race defect were measured of the vibration signals using data acquisition with a sampling frequency of 20 kHz at the constant speed of 1400 RPM. Various features were extracted from vibration signals in time domain, such as RMS, variance, standard deviation, crest factor, shape factor, skewness, kurtosis, log energy entropy and sure entropy. PCA transformation was employed to reduce the dimension of feature extracted data. SVM classification problems were solved using MATLAB 2016a. The results showed that the application of RBF kernel function with the C parameter =1 was the best configuration. The training model accuracy was 98.93% and the testing accuracy of SVM was 97.5%. Finally, the research results show that the SVM classification method can be used to diagnose the fault condition of the ball bearing.</em><em>.</em></p>

scholarly journals An Improved Rigid Multibody Model for the Dynamic Analysis of the Planetary Gearbox in a Wind Turbine

2016 ◽  
Vol 2016 ◽  
pp. 1-18 ◽  
Author(s):  
Wenguang Yang ◽  
Dongxiang Jiang
Keyword(s):  
Dynamic Analysis ◽  
Transient Analysis ◽  
Planetary Gear ◽  
Time Varying ◽  
Mesh Stiffness ◽  
Vibration Signals ◽  
Planetary Gearbox ◽  
Multibody Model ◽  
Improved Model ◽  
Rigid Multibody

This paper proposes an improved rigid multibody model for the dynamic analysis of the planetary gearbox in a wind turbine. The improvements mainly include choosing the inertia frame as the reference frame of the carrier, the ring, and the sun and adding a new degree of freedom for each planet. An element assembly method is introduced to build the model, and a time-varying mesh stiffness model is presented. A planetary gear study case is employed to verify the validity of the improved model. Comparisons between the improvement model and the traditional model show that the natural characteristics are very close; the improved model can obtain the right equivalent moment of inertia of the planetary gear in the transient simulation, and all the rotation speeds satisfy the transmission relationships well; harmonic resonance and resonance modulation phenomena can be found in their vibration signals. The improved model is applied in a multistage gearbox dynamics analysis to reveal the prospects of the model. Modal analysis and transient analysis with and without time-varying mesh stiffness considered are conducted. The rotation speeds from the transient analysis are consistent with the theory, and resonance modulation can be found in the vibration signals.

Faults Monitoring and Diagnosis of Ball Bearing Based on Hilbert-Huang Transformation

2005 ◽  
Vol 291-292 ◽  
pp. 649-654 ◽  
Author(s):  
H. Li ◽  
H.Q. Zheng ◽  
L.W. Tang
Keyword(s):  
Energy Spectrum ◽  
Machine Tool ◽  
Empirical Mode Decomposition ◽  
Ball Bearing ◽  
Intrinsic Mode Function ◽  
Vibration Signals ◽  
Monitoring And Diagnosis ◽  
Mode Function ◽  
Mode Decomposition ◽  
Faults Diagnosis

A novel scheme for ball bearing faults detection is presented based on Hilbert-Huang transformation and its energy spectrum. The basic method is introduced in detail. The energy spectrum is applied in the research of the faults diagnosis for the ball bearing of machine tool. Firstly, the analyzed vibration signals are separated into a series of intrinsic mode function using the empirical mode decomposition. Then, the energy spectrum is applied to the intrinsic mode function. The experimental results show that this method based on Hilbert-Huang transformation and energy spectrum can effectively diagnosis the faults of the ball bearing.

An Improved Model for Nonplanar Contact Sliding in Ball Bearings

1994 ◽  
Vol 116 (2) ◽  
pp. 219-224 ◽  
Author(s):  
P. I. Tzenov ◽  
T. S. Sankar
Keyword(s):  
Contact Area ◽  
Friction And Wear ◽  
Ball Bearing ◽  
Wear Test ◽  
Test Machine ◽  
Ball Bearings ◽  
Sliding Velocity ◽  
Angular Contact Ball Bearing ◽  
Improved Model ◽  
Ball Motion

This investigation focuses on the contact interaction between a ball and a torus ring as in ball bearings. The sliding velocity field at the nonplanar contact area is analyzed and the resulting friction force and moment are determined assuming same friction coefficient at any point of the contact area. The results are illustrated by an application case to an angular contact ball bearing. The procedure developed through an appropriate computer simulation is useful in ascertaining the steady-state motion of a ball in ball bearings, in friction-and-wear test machine, etc. The results contribute to a better understanding of the nature of friction phenomena and the ball motion controlled by these phenomena. They also provide data on sliding and amount of wear at the contact areas, as well as lubricant degradation.

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