Stochastic dynamic analysis of the rotor–bearing system considering the randomness of the radial clearance

Liu, Yongzhen; Zhang, Yimin; Wu, Zhihua

doi:10.1007/s40430-019-2038-7

Cited by 14 publications

(7 citation statements)

References 37 publications

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“…The dynamics of rotor systems under the fuzzy or random uncertainties associated with different kinds of bearings are the most heated research topics [53][54][55]60,103,104,108,111,117,195,[217][218][219][220][221][222][223], among which the journal bearings are major focuses of many researchers. For uncertainties in journal bearings, three main points were generally investigated, i.e., the rough surfaces, radial clearance and lubricant viscosity (caused by lubricant temperature variations).…”

Section: Natural Characteristics and Unbalanced Responsesmentioning

confidence: 99%

A state-of-the-art review on uncertainty analysis of rotor systems

Sinou

Zhu

et al. 2023

Mechanical Systems and Signal Processing

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Section: Natural Characteristics and Unbalanced Responsesmentioning

confidence: 99%

A state-of-the-art review on uncertainty analysis of rotor systems

Sinou

Zhu

et al. 2023

Mechanical Systems and Signal Processing

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“…As stated previously, the compound influences caused by the uncertain physical dimensions were not fully considered in the analysis of VC vibration. Liu et al 31,32 investigated the stochastic vibration response and rotating reliability of the rotor-ball bearing system with uncertain radial clearance based on the stochastic models. However, it is difficult to obtain the distribution function and probability density function of random variables accurately.…”

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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“…Rolling bearing is one of the key components of rotating machinery which sustain larger load, 1 , 2 and is also the main vibration sources of rotating machinery during operation. Therefore, the reliability of rolling bearing is directly related to the running performance of mechanical equipments, 3 and it is necessary to establish an accurate model to evaluate the reliability of bearing.…”

Section: Introductionmentioning

confidence: 99%

Quality-Achieving Reliability Assessment of Rolling Bearing Based on Bootstrap Maximum Entropy Method and Similarity Method

Cheng

Xia

et al. 2022

Science Progress

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Rolling bearing reliability is often affected by the processing quality, however the life reliability or operating reliability do not involve the study of rolling bearing processing quality assessment. In order to avoid bearing failure caused by bearing processing quality, it is necessary to evaluate the reliability of the bearing quality assurance capability. The difficulty in reliable evaluation of bearing's quality assurance capability is how to quantify the uncertain relationships between the bearing quality and its influence factors, and then determine the weight of different influencing factors. Therefore, in this paper, a novel method for determining the weight of bearing quality-influencing factors based on bootstrap maximum entropy method and similarity method is proposed, and then the quality-achieving reliability model is established. The experimental results show that the proposed method can effectively quantify the relationship between the bearing quality and its influencing factors, and accurately assess the bearing quality assurance capability and bearing quality processing level under the condition of a small number of experimental bearings. Compared with other quality-achieving reliability method, the proposed method is more effective.

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Stochastic dynamic analysis of the rotor–bearing system considering the randomness of the radial clearance

Cited by 14 publications

References 37 publications

A state-of-the-art review on uncertainty analysis of rotor systems

A state-of-the-art review on uncertainty analysis of rotor systems

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

Quality-Achieving Reliability Assessment of Rolling Bearing Based on Bootstrap Maximum Entropy Method and Similarity Method

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