Moment method-based reliability analysis of random vibration in rolling bearings under insufficient probability information.

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Title: Moment method-based reliability analysis of random vibration in rolling bearings under insufficient probability information.
Authors: Wang, Xianming1 (AUTHOR), Wang, Bo1 (AUTHOR), Cui, Jin1 (AUTHOR), Zhao, Xinyi1 (AUTHOR), Zhang, Tianxiao1 (AUTHOR) txzhang@buaa.edu.cn
Source: Mechanics Based Design of Structures & Machines. 2025, Vol. 53 Issue 11, p7688-7710. 23p.
Subjects: Random vibration, Roller bearings, Engineering reliability theory, Ball bearings, Mechanical vibration research, Mathematical statistics
Abstract: In the reliability design process for random vibration in rolling bearings, the probability information of random variables is frequently insufficient, resulting in an inability to accurately calculate the reliability of random vibration in rolling bearings. This article considers the full coupling effects of elastic contact and lubrication to describe the vibration response more accurately. A five-degree-of-freedom vibration model for rolling bearings under combined loading is developed using the principle of virtual work. Furthermore, by accounting for the randomness of bearing mass, damping, and stiffness parameters, with response amplitude as the criterion for bearing random vibration failure, a limit state function for the reliability model of bearing vibration failure is derived by the stress-strength interference model. The fourth-moment method is then used to evaluate both transient and average cumulative reliability of random vibrations in rolling bearings. Finally, the research method is applied to analyze the reliability of the angular contact ball bearing 7218. The computational results of the fourth-moment method demonstrate excellent agreement with those obtained from the second-moment method, which demonstrates the accuracy and effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Moment method-based reliability analysis of random vibration in rolling bearings under insufficient probability information.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Xianming%22">Wang, Xianming</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Bo%22">Wang, Bo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Cui%2C+Jin%22">Cui, Jin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhao%2C+Xinyi%22">Zhao, Xinyi</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Tianxiao%22">Zhang, Tianxiao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> txzhang@buaa.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Mechanics+Based+Design+of+Structures+%26+Machines%22">Mechanics Based Design of Structures & Machines</searchLink>. 2025, Vol. 53 Issue 11, p7688-7710. 23p.
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  Data: <searchLink fieldCode="DE" term="%22Random+vibration%22">Random vibration</searchLink><br /><searchLink fieldCode="DE" term="%22Roller+bearings%22">Roller bearings</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+reliability+theory%22">Engineering reliability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Ball+bearings%22">Ball bearings</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+vibration+research%22">Mechanical vibration research</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+statistics%22">Mathematical statistics</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In the reliability design process for random vibration in rolling bearings, the probability information of random variables is frequently insufficient, resulting in an inability to accurately calculate the reliability of random vibration in rolling bearings. This article considers the full coupling effects of elastic contact and lubrication to describe the vibration response more accurately. A five-degree-of-freedom vibration model for rolling bearings under combined loading is developed using the principle of virtual work. Furthermore, by accounting for the randomness of bearing mass, damping, and stiffness parameters, with response amplitude as the criterion for bearing random vibration failure, a limit state function for the reliability model of bearing vibration failure is derived by the stress-strength interference model. The fourth-moment method is then used to evaluate both transient and average cumulative reliability of random vibrations in rolling bearings. Finally, the research method is applied to analyze the reliability of the angular contact ball bearing 7218. The computational results of the fourth-moment method demonstrate excellent agreement with those obtained from the second-moment method, which demonstrates the accuracy and effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanics Based Design of Structures & Machines is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1080/15397734.2025.2493888
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      – Code: eng
        Text: English
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        PageCount: 23
        StartPage: 7688
    Subjects:
      – SubjectFull: Random vibration
        Type: general
      – SubjectFull: Roller bearings
        Type: general
      – SubjectFull: Engineering reliability theory
        Type: general
      – SubjectFull: Ball bearings
        Type: general
      – SubjectFull: Mechanical vibration research
        Type: general
      – SubjectFull: Mathematical statistics
        Type: general
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      – TitleFull: Moment method-based reliability analysis of random vibration in rolling bearings under insufficient probability information.
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            NameFull: Wang, Xianming
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            NameFull: Wang, Bo
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            NameFull: Cui, Jin
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            NameFull: Zhao, Xinyi
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            NameFull: Zhang, Tianxiao
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            – D: 01
              M: 11
              Text: 2025
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              Y: 2025
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