Motion stability analysis of cage of rolling bearing under the variable-speed condition

Tu, Wenbing; Liang, Jie; Yu, Wennian; Shi, Zhenning; Liu, Chenlu

doi:10.1007/s11071-023-08432-8

Cited by 16 publications

(5 citation statements)

References 31 publications

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“…In figure 2, the coordinate system {o r ; y r ; z r } is a fixed coordinate system. According to Newton's law [32], the differential equation for rotor vibration can be expressed as: Among them, ω represents the input speed. M is the rotor mass, e u stands for eccentricity, m u is the unbalanced mass of the rotor, and φ signifies the angle by which the axis mass center deviates from the geometric center.…”

Section: Establishment Of Rotor Dynamics Modelmentioning

confidence: 99%

Investigation on the influence of temperature-variation clearance on the frequency of rolling bearing defects

An,

Gu,

Chen

et al. 2024

Meas. Sci. Technol.

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The clearance between the inner ring (IR) of rolling bearing and rotor is directly proportional to the temperature rise. The increased friction between the inner ring and rotor, as well as changes in the frequency of rolling bearing defects, and the accuracy of bearing health monitoring decreases. Existing research cannot effectively solve this problem. In response to the above issues, in this paper, the clearance between the bearing IR and the rotor and the internal clearance of bearing were considered, and the clearance was considered as the motion boundary of the rotor inside the IR, dynamic models of the bearing IR, outer ring (OR), and rolling element defects were established, and the trend of rolling bearing defects frequencies with temperature was analyzed, then the rationality of the dynamic models were verified through experimental methods. The research results show that the friction between the rotor and the IR increases with increasing temperature, and the speed of the IR decreases accordingly. The characteristic frequencies of defects in the IR, OR, and rolling element of rolling bearings have decreased by approximately 6.42%, 8.07%, and 6.93% compared to the theoretical values without considering temperature, respectively. This indicates that when identifying the frequency of rolling bearing defects at different temperatures, the frequency deviation caused by the increase in clearance between the IR and the rotor should be considered. The research results may serve as an important basis for fault diagnosis and condition monitoring of rolling bearings.

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Section: Establishment Of Rotor Dynamics Modelmentioning

confidence: 99%

Investigation on the influence of temperature-variation clearance on the frequency of rolling bearing defects

An,

Gu,

Chen

et al. 2024

Meas. Sci. Technol.

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“…The friction coefficient mainly depends on the sliding velocity between the two contact surfaces, which can be obtained by a semiempirical model. A four-parameter friction model is widely used to determine the friction-slip relationship, 32–34 which is given as where v is the relative sliding velocity at the contact surface, and the detailed expressions of v, A , B , C , and D are lubricant coefficients which can be determined by referring to Ref. 35,36 .…”

Section: Nonlinear Dynamic Model Of a Defective Bearingmentioning

confidence: 99%

A dynamic model of defective bearing considering the detailed motion of the roller and the impact between the roller and the cage

Yang

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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To illustrate the vibration characteristics of the defective bearing more precisely, a dynamic model considering the detailed motion of the roller and the impact between the roller and the cage when the roller passes through the defect has been proposed. It overcomes the shortcomings of the previous models in which the roller's and cage's rotational speeds are set as constant values. The proposed model considers the detailed motion of the roller and the impact between the roller and the cage when the roller passes through the bearing defect. The validity and accuracy of the proposed model were verified by an experimental study. The motion characteristics, force characteristics, and vibration characteristics, when the roller passes through the defect, are analyzed. In addition, the vibration signals of the roller passing through two different types of defects are studied. The results show that the roller's rotational speed suddenly increases and the fluctuation amplitude of the revolution speed increases when the roller exits from the large defect. The large defect leads to high-frequency unstable collisions between the roller and the defective raceway. In addition, the slip velocity and the friction force between the roller and the raceway intensify the collision amplitude and generate high-frequency components of the vibration signal. They will also lower the frequency of the roller passing through the outer raceway, especially under high speed and light load conditions. The slipping and the restress between the roller and the defected raceway lead to small variations and big shocks in the vibration acceleration signal, respectively. These phenomena demonstrate the necessity of considering the detailed motion of the roller and the impact between the roller and the cage in the dynamic model.

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“…Figures 9 and 10 show the simulation results of the rotating speed and vibration acceleration when the rotor was supported by two normal bearings. Theoretically, the rotating speed of the cage can be represented as [32,34]…”

Section: Numerical Analysis Of Physics-based Dynamic Vibration Modelmentioning

confidence: 99%

“…ω 0 is the rotating speed of the bearing's outer race. The rotating speed of the rolling element can be represented as [32,34]…”

Section: Numerical Analysis Of Physics-based Dynamic Vibration Modelmentioning

confidence: 99%

A Novel Physics-Informed Hybrid Modeling Method for Dynamic Vibration Response Simulation of Rotor–Bearing System

Zhu,

Peng,

Yang

et al. 2023

Actuators

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For rotor–bearing systems, their dynamic vibration models must be built to simulate the vibration responses that affect the safe and reliable operation of rotating machinery under different operating conditions. Single physics-based modeling methods can be used to produce sufficient but inaccurate vibration samples at the cost of computational complexity. Moreover, single data-driven modeling methods may be more accurate, employing larger numbers of measured samples and reducing computational complexity, but these methods are affected by the insufficient and imbalanced samples in engineering applications. This paper proposes a physics-informed hybrid modeling method for simulating the dynamic responses of rotor–bearing systems to vibration under different rotor speeds and bearing health statuses. Firstly, a three-dimensional model of a rolling bearing and its supporting force are introduced, and a physics-based dynamic vibration model that couples flexible rotors and rigid bearings is constructed using multibody dynamics simulation. Secondly, combining the simulation vibration data obtained using the physics-based model with measured vibration data, algorithms are designed to learn vibration generation and data mapping networks in series connection to form a physics-informed hybrid model, which can quickly and accurately output the vibration responses of a rotor–bearing system. Finally, a case study on the single-span rotor platform is provided. By comparing the signal output by the proposed physics-informed hybrid modeling method with the measured signal in the time and frequency domains, the effectiveness of proposed method under both constant- and variable-speed operating conditions are illustrated.

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Motion stability analysis of cage of rolling bearing under the variable-speed condition

Cited by 16 publications

References 31 publications

Investigation on the influence of temperature-variation clearance on the frequency of rolling bearing defects

Investigation on the influence of temperature-variation clearance on the frequency of rolling bearing defects

A dynamic model of defective bearing considering the detailed motion of the roller and the impact between the roller and the cage

A Novel Physics-Informed Hybrid Modeling Method for Dynamic Vibration Response Simulation of Rotor–Bearing System

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