Analysis of Dynamic Response of a Two Degrees of Freedom (2-DOF) Ball Bearing Nonlinear Model

Ambrożkiewicz, Bartłomiej; Litak, Grzegorz; Georgiadis, Anthimos; Meier, Nicolas; Gassner, Alexander

doi:10.3390/app11020787

Cited by 9 publications

(4 citation statements)

References 87 publications

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“…Another important aspect influencing the bearing's vibrations is the shape errors [30] in form of a number of undulations over the raceway's diameter with specific amplitude. For the analysis of the influence of the damping coefficient on the dynamical response, we continue the development of the 2-DOF model discussed in the following article [31]. Applied dimensionless model provides satisfying results for study the dynamical response of rollingelement bearings and its dimensionless form introduces the understanding of applied terms in the domain of crucial parameter, in our case the radial internal clearance.…”

Section: Nonlinear Model Of Ball Bearingmentioning

confidence: 99%

“…The damping is changed with step 0.01 every 5 μm, the results of the dynamical response are compared by the traditional approach with constant damping factor and variable as described. The remaining model parameters taken for simulation are constant as in the work [31], blue line in Fig. 2 refers to the constant damping factor equal to 0.01 in the unit of clearance (from previous paper).…”

Section: Nonlinear Model Of Ball Bearingmentioning

confidence: 99%

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Effect of Radial Clearance on Ball Bearing’s Dynamics Using a 2-DOF Model

Ambrożkiewicz¹,

Litak²,

Georgiadis³

et al. 2021

Int. j. simul. model.

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In the present work, a method for the analysis of short time intervals in ball bearings is proposed. We study the effect of the internal clearance on the dynamics of ball bearings using recurrence plots and the recurrence quantification approach. In the proposed method, we focused on the analysis of dynamic states generated from the 2-DOF mathematical model, to which a function changing the damping coefficient in the clearance domain was added. Chosen recurrence methods showed the specific dynamic responses by different values of the radial clearance. The effect of self-consistency concerning the damping effect and vibration development is confirmed. The proposed method can be useful for the prediction of variable radial clearance in time by analysis of the acceleration response of ball bearing during its operation.

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Section: Nonlinear Model Of Ball Bearingmentioning

confidence: 99%

Section: Nonlinear Model Of Ball Bearingmentioning

confidence: 99%

Effect of Radial Clearance on Ball Bearing’s Dynamics Using a 2-DOF Model

Ambrożkiewicz¹,

Litak²,

Georgiadis³

et al. 2021

Int. j. simul. model.

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“…Li et al 9 proposed a numerical integration method, which could effectively couple with finite element model and dynamic model. Ambro_ zkiewicz et al 10 built a dimensionless dynamic model of REB to analyse the relation between non-dimensional parameters and their effect on dynamic response. Considering the waviness and centrifugal force, Hou et al 11 built a 2N b + 5-DOF vibration model of REB.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of rolling element bearing with compound fault considering defect-rolling-element interaction

Luo

Yan

Liu

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Dynamic modelling of rolling element bearing (REB) is a significant method to explore the vibration mechanism generated by fault, and it is the theoretical basis of fault diagnosis of REBs. Aiming at the complexity of defect-rolling-element interaction under radial load, the whole contact process of rolling element (RE) passing over defective area of outer or inner ring is analysed in detail. The impact force excitation function is derived by rotation and revolution velocity of RE. A four degree-of-freedom (DOF) dynamic model of REB with compound fault of both inner and outer raceway surface is developed by considering the time-varying displacement, impact force excitative and elastohydrodynamic lubrication (EHL) condition, and the novelty of the model is that the improved impact force excitation function is used. The experimental validation is carried out on test tig of Machinery Fault Simulator. The change of impact force with shaft speed and defect size is analysed. It is shown that the simulation results of the proposed model are closer to experimental results. A mapping method from defect-rolling-element-defect (DRED) behaviour to time is proposed to study the vibration characteristics of DRED behaviour, the results show that the amplitude of vibration will decrease when the same RE collides with inner and outer raceway defects simultaneously. When the same RE collides with inner and outer raceway defect successively, the amplitude of vibration will reach the maximum during the inner raceway defect rolling over each RE once. The proposed model can be used in practical application to study the influence of compound defects on vibration response of REB.

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“…Moreover, local defects are predominantly in the form of cracks, pits, and spalls on the component surface [ 22 ]. Bartłomiej et al [ 23 ] presented a two-degrees of freedom (2-DOF) dimensionless mathematical model. These studies demonstrate that bearing faults mainly result from balls or raceways.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Friction Fault of Lightly Loaded Flywheel Bearing Cage and Its Fault Characteristics

Chen

Deng

Wang³

et al. 2022

Sensors

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Because of the operating environment and load, the main fault form of flywheel bearing is the friction fault between the cage and the rolling elements, which often lead to an increase in the friction torque of the bearing and even to the failure of the flywheel. However, due to the complex mechanism of the friction fault, the characteristic frequencies often used to indicate cage failure are not obvious, which makes it difficult to monitor and quantitatively judge such faults. Therefore, this paper studies the mechanism of the friction fault of the flywheel bearing cage and establishes its fault feature identification method. Firstly, the basic dynamic model of the bearing is established in this paper, and the friction between the cage and the rolling elements is simulated by the variable stiffness. The influence law of the bearing vibration response reveals the relationship between the periodic fluctuation of cage-rolling element friction failure and the bearing load. After analyzing the envelope spectrum of the vibration data, it was found that when a friction fault occurred between the cage and the rolling element, the rotation frequency component of the cage modulated the rotational frequency component of the rolling element, that is, the side frequency components appeared on both sides of the characteristic frequency of the rolling element (with the characteristic frequency of the cage as the interval). In addition, the modulation frequency components of the cage and rolling element changed with the severity of the fault. Then, a modulation sideband ratio method based on envelope spectrum was proposed to qualitatively diagnose the severity of the cage-rolling element friction faults. Finally, the effectiveness of the presented method was verified by experiments.

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Analysis of Dynamic Response of a Two Degrees of Freedom (2-DOF) Ball Bearing Nonlinear Model

Cited by 9 publications

References 87 publications

Effect of Radial Clearance on Ball Bearing’s Dynamics Using a 2-DOF Model

Effect of Radial Clearance on Ball Bearing’s Dynamics Using a 2-DOF Model

Dynamic response of rolling element bearing with compound fault considering defect-rolling-element interaction

Simulation of Friction Fault of Lightly Loaded Flywheel Bearing Cage and Its Fault Characteristics

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