Bifurcations and hysteresis of varying compliance vibrations in the primary parametric resonance for a ball bearing

Zhang, Zhiyong; Chen, Yushu; Cao, Qingjie

doi:10.1016/j.jsv.2015.04.003

Cited by 77 publications

(40 citation statements)

References 29 publications

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“…The frequency components in Figure 8a also contain the integer multiples of rotating frequency when the eccentricity exists, which means that the eccentricity can produce large dynamic responses and excite high integer multiples of rotating frequency. It is commonly accepted that the varying compliance (VC) vibration from a ball bearing is an inevitable source of excitation to the rotor bearing system [33], and the VC frequency (f vc ) can be calculated by BN × Ω, where BN = R i × N b /(R i + R o ) [34]. The value of BN depends on the dimensions of the bearing and is 3.47 in this study.…”

Section: Effects Of Static Displacement Eccentricitymentioning

confidence: 91%

Analysis of Nonlinear Vibration in Permanent Magnet Synchronous Motors under Unbalanced Magnetic Pull

et al. 2018

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Abstract:The vibration and noise of permanent magnet synchronous motors (PMSM) are mainly caused by unbalanced magnetic pull (UMP). This paper aims to investigate nonlinear vibration in PMSMs. Firstly, the analytical model of the air-gap magnetic field with an eccentric rotor in PMSM is studied, and the analytical model is verified by the finite element method. Then the dynamic model of an offset rotor-bearing system is established, and the gyroscopic effect, nonlinear bearing force and UMP are taken into consideration. Finally, the dynamic characteristics of different static displacement eccentricities, rotor offsets and radial clearances are investigated in both the time domain and the frequency domain. The results show that the amplitudes of dynamic responses increase with the static displacement eccentricity and rotor offset and high integer multiples of rotating frequency appear with the increase of displacement eccentricity. The coupling effects of bearing force, unbalanced mass force and UMP are observed in the frequency domain, and the frequency components in the dynamic responses indicate that the bearings have an effect on the system.

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Section: Effects Of Static Displacement Eccentricitymentioning

confidence: 91%

Analysis of Nonlinear Vibration in Permanent Magnet Synchronous Motors under Unbalanced Magnetic Pull

et al. 2018

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“…This is a parametrically excited vibration, and the period is the corresponding time when the cage rotates through a ball spacing [16]. The main reason of VC vibration is that the stiffness bearing has time-varying characteristics [17][18][19]. Based on finiteness of the experiment, this paper studies the mechanism of VC vibration and the corresponding relationship between VC vibration and various influencing factors through simulation analysis, and verified the validity of the conclusions [20].…”

Section: Introductionmentioning

confidence: 71%

Research on the effect of structural and material parameters on vibrations based on quasi-static model of bearings

Cheng

Zhang

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Variable compliance vibration is an inevitable source of the parametrically excited factors of rolling bearing-rotor system under the effect of only a limited number of rolling elements to carry the loads. Based on the quasi-static model of ball bearing, the mechanism of time-varying stiffness is studied and the effects of external load, rotational speed, geometric structure of the bearing and material parameters on the time-varying stiffness and relative variation of stiffness are analyzed quantitatively. Results show that load redistribution in bearing caused by the change of ball spatial position is the direct cause of the time-varying stiffness. Rotational speed, the number of balls and diameter have great effect on varying compliance vibration compared with external load and material parameters. In order to reduce the vibration, axial preload, contact angle, ball diameter and density should be appropriately increased, raceway groove curvature radius and radial load should be reduced, and the optimal number balls and rotational speed can be obtained according to the single-variable optimization method. The results provide theoretical basis for the structural design, material and manufacturing process selection.

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“…However, in many cases, this approach is inadequate, because it does not give enough information about the behavior of the bearing in operation. Namely, a set of rolling elements constantly changes its position during operation of the bearing, which causes a temporal change of the internal load distribution, as well as the temporal change of the intensity of contact stress and deformation and the stiffness of the bearing [31,32]. Therefore, the research presented in [24][25][26][27][28] proposed the introduction of another one boundary position, shown in Figure 2b.…”

Section: Load Factor Of the Most Loaded Rolling Element Of Bearingmentioning

confidence: 99%

Load Calculation of the Most Loaded Rolling Element for a Rolling Bearing with Internal Radial Clearance

Tomović

2020

Applied Sciences

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This paper presents a new model for calculation of load for the most loaded rolling element in a rolling bearing with internal radial clearance. The calculation is based on a so-called load factor. By multiplying this factor by the value of the external radial load, the load transferred by the most loaded rolling element of the bearing is obtained. The values of the load factor are shown in the tables and diagrams, which makes the model very suitable for practical use. The load factors are shown for a ball bearing as well as for a roller bearing. The model considers two support positions of the inner ring on an even and odd number of rolling elements. The new model was compared with the most commonly used models up to now. The results showed greater accuracy of the studied model.

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Bifurcations and hysteresis of varying compliance vibrations in the primary parametric resonance for a ball bearing

Cited by 77 publications

References 29 publications

Analysis of Nonlinear Vibration in Permanent Magnet Synchronous Motors under Unbalanced Magnetic Pull

Analysis of Nonlinear Vibration in Permanent Magnet Synchronous Motors under Unbalanced Magnetic Pull

Research on the effect of structural and material parameters on vibrations based on quasi-static model of bearings

Load Calculation of the Most Loaded Rolling Element for a Rolling Bearing with Internal Radial Clearance

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