Ball-bearing dynamics modelling by a bond graph approach

2020 ◽  
pp. 1-17
Author(s):  
Enaiyat Ghani Ovy ◽  
Qiao Sun
Keyword(s):  
Ball Bearing ◽  
Bond Graph ◽  
Dynamics Modelling ◽  
Bearing Dynamics

scholarly journals Ball Bearing Dynamics at the Interference fit on Balls

2017 ◽  
Vol 176 ◽  
pp. 19-24 ◽  
Author(s):  
I.S. Barmanov ◽  
M.N. Ortikov
Keyword(s):  
Ball Bearing ◽  
Interference Fit ◽  
Bearing Dynamics

scholarly journals Raceway Defect Frequency Deviation of Full-Ceramic Ball Bearing Induced by Fit Clearance in Wide Temperature Ranges

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Xiaotian Bai ◽  
Hao Zheng ◽  
Zinan Wang ◽  
Zhong Wang
Keyword(s):  
Fault Diagnosis ◽  
Ball Bearing ◽  
Outer Ring ◽  
Ceramic Ball ◽  
Status Monitoring ◽  
Temperature Ranges ◽  
Frequency Identification ◽  
Defect Frequency ◽  
Spinning Speed ◽  
Bearing Dynamics

Full-ceramic ball bearings are widely applied in wide temperature ranges due to their excellent thermal shock resistance, and the condition monitoring and fault diagnosis are mainly conducted through the spectrum analysis based on the defect frequencies. However, the outer ring has a spinning motion in the temperature-related fit clearance, which leads to the deviation of raceway defect frequencies, and is not conducive to the fault diagnosis. In this paper, the temperature-related fit clearance is considered in the dynamic model, and defects are added on the inner raceway and outer raceway. The motions of the rings are calculated and analyzed in the frequency domain, and the trends of peak frequencies with temperature are investigated. Simulation and experimental results show that the spinning speed of the outer ring increases with temperature, and the defect frequencies exhibit obvious deviation in wide temperature ranges. In a temperature range of 500 K, the defect frequencies exhibit deviations of over 3%, which is obvious in the defect frequency identification. The results provide insights on the full-ceramic ball bearing dynamics and help with the fault diagnosis and status monitoring of the relevant devices.

Investigation of Turbocharger Dynamics Using a Combined Explicit Finite and Discrete Element Method Rotor–Cartridge Model

2016 ◽  
Vol 139 (1) ◽  
Author(s):  
Matthew D. Brouwer ◽  
Farshid Sadeghi
Keyword(s):  
Finite Element ◽  
Discrete Element Method ◽  
Ball Bearing ◽  
Discrete Element ◽  
Operating Conditions ◽  
Test Rig ◽  
Explicit Finite Element ◽  
Critical Speeds ◽  
Bearing Dynamics ◽  
Element Method

The objectives of this investigation were to develop a coupled dynamic model for turbocharger ball bearing rotor systems, correlate the simulated shaft motion with experimental results, and analyze the corresponding bearing dynamics. A high-speed turbocharger test rig was designed and developed in order to measure the dynamic response of a rotor under various operating conditions. Displacement sensors were used to record shaft motion over a range of operating speeds. To achieve the objectives of the analytical investigation, a discrete element angular contact ball bearing cartridge model was coupled with an explicit finite element shaft to simulate the dynamics of the turbocharger test rig. The bearing cartridge consists of a common outer ring, a pair of split inner races, and a row of balls on each end of the cartridge. The dynamic cartridge model utilizes the discrete element method in which each of the bearing components (i.e., races, balls, and cages) has six degrees-of-freedom. The rotor is modeled using the explicit finite element method. The cartridge and rotor models are coupled such that the motion of the flexible rotor is transmitted to the inner races of the cartridge with the corresponding reaction forces and moments from the bearings being applied to the rotor. The coupled rotor–cartridge model was used to investigate the shaft motion and bearing dynamics as the system traverses critical speeds. A comparison of the analytical and experimental shaft motion results resulted in minimal correlation but showed similarity through the critical speeds. The cartridge model allowed for thorough investigation of bearing component dynamics. Effects of ball material properties were found to have a significant impact on turbocharger rotor and bearing dynamics.

Experimental and Analytical Investigation of High Speed Turbocharger Ball Bearings

2011 ◽  
Vol 133 (12) ◽  
Author(s):  
Ankur Ashtekar ◽  
Farshid Sadeghi
Keyword(s):  
High Speed ◽  
Ball Bearing ◽  
Analytical Investigation ◽  
Rotor System ◽  
Operating Conditions ◽  
Experimental Results ◽  
Test Rig ◽  
Angular Contact Ball Bearing ◽  
Turbine Wheel ◽  
Bearing Dynamics

The objectives of this investigation were to design and construct a high speed turbocharger test rig (TTR) to measure dynamics of angular contact ball bearing rotor system, and to develop a coupled dynamic model for the ball bearing rotor system to corroborate the experimental and analytical results. In order to achieve the objectives of the experimental aspect of this study, a test rig was designed and developed to operate at speeds up to 70,000 rpm. The rotating components (i.e., turbine wheels) of the TTR were made to be dynamically similar to the actual turbocharger. Proximity sensors were used to record the turbine wheel displacements while accelerometers were used to monitor the rotor vibrations. The TTR was used to examine the dynamic response of the turbocharger under normal and extreme operating conditions. To achieve the objectives of analytical investigation, a discrete element ball bearing model was coupled through a set of interface points with a component mode synthesis rotor model to simulate the dynamics of the turbocharger test rig. Displacements of the rotor from the analytical model were corroborated with experimental results. The analytical and experimental results are in good agreement. The bearing rotor system model was used to examine the bearing component dynamics. Effects of preloading and imbalance were also found to have significant effects on turbocharger rotor and bearing dynamics.

Ball Bearing Dynamic Analysis Using Computer Methods—Part I: Analysis

1996 ◽  
Vol 118 (1) ◽  
pp. 52-58 ◽  
Author(s):  
Crawford R. Meeks ◽  
Long Tran
Keyword(s):  
Ball Bearing ◽  
Integration Method ◽  
Equations Of Motion ◽  
Dynamics Model ◽  
Stiff System ◽  
Computer Methods ◽  
Wear Life ◽  
Rigorous Model ◽  
Six Degree Of Freedom ◽  
Bearing Dynamics

An analytical ball bearing dynamics model was developed that rigorously models all of the significant kinematic, structural, and dynamic effects. The model can analyze bearings of any material combination for the races, balls and ball cage. This model analyzes the stresses and deflections of the loaded elements due to (1) preload, (2) external axial, radial and moment loads, (3) centrifugal and gyroscopic ball loads. A rigorous six-degree-of-freedom model of ball cage motions was developed to analyze ball and cage dynamics. The ball cage equations of motion were written in a rotating coordinate system, which greatly simplifies the equations, resulting in a highly efficient, but rigorous, model of bearing dynamics. A computer program was developed, incorporating the algorithms, to solve the multiple simultaneous quasi-static ball-to-race load equations using modified Newton-Raphson methods. The Lawrence Livermore Ode package (LSODA) is employed for numerical integration of the dynamic equations of motion. This method assures convergence, while controlling the accuracy of the calculations as a function of computer run time and automatically selects the appropriate integration method for stiff and non-stiff system of ODE. The program analyzes ball and cage motions in time domain, wear life, fatigue life, lubricant film effects, ball-to-cage forces, torque noise and many other bearing parameters.

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