A vibration model of a rotor system with the sinusoidal waviness by using the non-Hertzian solution

Liu, Jing; An, Chenyu; Pan, Guang

doi:10.1177/14644193211065916

Cited by 4 publications

(2 citation statements)

References 41 publications

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“…In addition to the effect of the clearance, Liu et al 25 presented the bearing lubrication coupled model including the dynamics model and lubrication model by considering the effect of the cage clearance and the lubrication. Furthermore, researchers have concluded that the rolling bearing components' flexible deformation, 26,27 manufacturing errors, 28,29 local defect 30 can greatly affect the vibration characteristics of the ball bearing-shaft system.…”

Section: Introductionmentioning

confidence: 99%

Research on the vibration characteristics of the ball bearing considering the uncertain bearing-shaft interference fit

Liu

Zhang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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Due to the exist of the inevitable dimensional tolerance and assembling errors in the ball bearing, the interference amounts between the inner ring and the connected shaft are uncertain but bounded, which could directly affect the dynamics performance of the rotor-ball bearing system. Whereas, most of the works on the field of dynamics in a ball bearing have considered the varying compliance (VC) vibration as deterministic vibration and there are few quantitative studies considering the uncertain factors. Therefore, in this paper, an uncertain ball bearing-rotor dynamic model is presented based on the Chebyshev interval method. Firstly, the uncertain interference amounts between the bearing inner ring and the connected shaft are modeled by the Chebyshev interval method. Then the radial clearance and actual interference amounts of ball bearing are derived by the bearing-shaft interference fit model. The time-dependent ball-raceway contact probability is formulated and the influence of the average and deviation coefficient of the initial interference amounts on the vibration behaviors of the rotor under various rotational speeds are investigated based on the double degrees of freedom (2-DOF) ball bearing system. The numerical cases show that the amounts of the bearing-shaft interference fit are uncertain and could be affected by rotational speed, which have an obvious influence on the dynamic performance of the rotor-ball bearing system. Reasonable design of the interference amounts could reduce the dispersion of the displacement and time-varying stiffness. The numerical results obtained by the present study are compared to the Monte Carlo simulation (MCS), which show the validity of the study.

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Section: Introductionmentioning

confidence: 99%

Research on the vibration characteristics of the ball bearing considering the uncertain bearing-shaft interference fit

Liu

Zhang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Clearance is one of the important influence factors of bearing nonlinear characteristics, which must be produced by the manufacturing processing. 3 Therefore, it is important to study the influence of a turbine supporting bearing clearance on the vibrations of the TRS, which could help in controlling the vibrations of TRSs.…”

Section: Introductionmentioning

confidence: 99%

Vibration Simulation of the Turbine Rotor System of an Underwater Vehicle Considering the Bearing Radial Clearance

Liu¹,

Li²,

Ni³

et al. 2022

The International Journal of Acoustics and Vibration

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The turbine rotor system (TRS) is one important part of an underwater vehicle (UV). Its vibration and noise characteristics can greatly affect the performance and service life of the UV. To study the influence of radial clearance of supporting bearings on the vibrations of the whole TRS of the UV, a flexible dynamic model of the TRS is established by using the finite element and multi-body methods. Vibrations of the TRS from the rigid and flexible dynamic models under different bearing clearance conditions are analyzed. Note that the TRS with the flexible body model can obtain more accurate vibrations than the rigid one. The maximum vibration amplitude increases with the increment of bearing clearance. The bearing clearance of 5 micrometers to 20 micrometers is more reasonable for controlling the system vibration. The smaller clearance of supporting bearings of the TRS can cause more stable vibration responses. This paper can provide additional guidance for the accurate simulation analysis method of the TRSs of the UVs.

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Dynamic modeling and reliability analysis of the ball bearing rotating accuracy considering the uncertain bearing-shaft interference fit

Liu,

Zhang,

et al. 2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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The rotating accuracy of the rolling bearing is closely related to its precision class and the actual fitting parameters. However, there are few quantitative evaluation models to describe their relationships. In this paper, considering the effect of the uncertain but bounded interference amounts between the bearing inner ring and the shaft, the Chebyshev interval analysis method is utilized and a rotating accuracy dynamic reliability model is presented based on the two degrees of freedom (2-DOF) rotor-ball bearing system. Firstly, the relationships between the bearing radial clearance and bearing-shaft interference amounts are investigated based on the shaft-bearing interference fit model. Thus, in terms of Chebyshev interval analysis method, the 2-DOF rotor-ball bearing system with uncertain bearing-shaft interference amounts is established. Then the rotating accuracy dynamic reliability model of the ball bearing is presented based on the Chebyshev interval theory. The effects of the average values and deviation coefficients of the initial interference amounts on the actual interference amounts, radial clearance and the resultant rotating accuracy dynamic reliability of the ball bearing are analyzed. The results show that the uncertain bearing-shaft interference amounts have a significant effect on the rotating accuracy dynamic reliability of the ball bearing and reasonable design could improve the rotating accuracy of the ball bearing. The results calculated by the present study are compared to the Monte Carlo simulation (MCS), which show the validity of the study.

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A vibration model of a rotor system with the sinusoidal waviness by using the non-Hertzian solution

Cited by 4 publications

References 41 publications

Research on the vibration characteristics of the ball bearing considering the uncertain bearing-shaft interference fit

Research on the vibration characteristics of the ball bearing considering the uncertain bearing-shaft interference fit

Vibration Simulation of the Turbine Rotor System of an Underwater Vehicle Considering the Bearing Radial Clearance

Dynamic modeling and reliability analysis of the ball bearing rotating accuracy considering the uncertain bearing-shaft interference fit

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