Optimization Design Method of High-Speed Angular Contact Ball Bearings.

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Title: Optimization Design Method of High-Speed Angular Contact Ball Bearings.
Authors: JI, Ye1,2 ji2000ye@126.com, HUANG, Kun3 13653873677@126.com, ZHENG, Haotian3 15036989086@163.com, LI, Yanchun3 13525443494@139.com, WANG, Dongfeng4 zyswdf@163.com, GAO, Congying5 317662561@qq.com, SUN, Duanduan6 duan706009512@126.com
Source: Mechanika. 2025, Vol. 31 Issue 6, p578-588. 11p.
Subjects: Dynamic stiffness, Ball bearings, Design techniques, Kinematics, Mathematical optimization
Abstract: With the rapid development of high-speed rotating equipment technology, angular contact ball bearings (ACBBs) have been increasingly widely applied in industry. However, there is still a lack of systematic design theory support for their service performance under high-speed operating conditions. In existing engineering practices, the design of ACBBs often focuses only on a single performance index, such as rated dynamic load, spin-roll ratio, or static stiffness, with little consideration of the dynamic behavior changes caused by the ball "outward-thrown" under high-speed operation. To fill the above research gaps, this paper innovatively introduces dynamic stiffness as a key design index and proposes a comprehensive design method integrating spin-roll ratio and rated dynamic load. By establishing the kinematic model of balls in the raceway, the analytical relationship of the spin-roll ratio under high-speed steady-state conditions is derived; the applicability of different dynamic load rating calculation models is systematically compared, and a mathematical model of dynamic stiffness is constructed along with a numerical solution strategy. On this basis, the intrinsic laws governing the evolution of rated dynamic load, spin-roll ratio, and dynamic (static) stiffness with key design parameters are revealed. This study clarifies the coupling mechanism of key design parameters under high-speed conditions and establishes a parameter design strategy based on collaborative optimization. It provides a theoretical basis and methodological support for solving problems in engineering applications of high-speed ACBBs, such as inaccurate parameter selection and difficulty in ensuring dynamic performance. The research results help to further improve the design system of high-speed ACBBs and have important guiding significance for enhancing the design quality and service reliability of bearing products. [ABSTRACT FROM AUTHOR]
Copyright of Mechanika is the property of Mechanika 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: Optimization Design Method of High-Speed Angular Contact Ball Bearings.
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  Data: <searchLink fieldCode="AR" term="%22JI%2C+Ye%22">JI, Ye</searchLink><relatesTo>1,2</relatesTo><i> ji2000ye@126.com</i><br /><searchLink fieldCode="AR" term="%22HUANG%2C+Kun%22">HUANG, Kun</searchLink><relatesTo>3</relatesTo><i> 13653873677@126.com</i><br /><searchLink fieldCode="AR" term="%22ZHENG%2C+Haotian%22">ZHENG, Haotian</searchLink><relatesTo>3</relatesTo><i> 15036989086@163.com</i><br /><searchLink fieldCode="AR" term="%22LI%2C+Yanchun%22">LI, Yanchun</searchLink><relatesTo>3</relatesTo><i> 13525443494@139.com</i><br /><searchLink fieldCode="AR" term="%22WANG%2C+Dongfeng%22">WANG, Dongfeng</searchLink><relatesTo>4</relatesTo><i> zyswdf@163.com</i><br /><searchLink fieldCode="AR" term="%22GAO%2C+Congying%22">GAO, Congying</searchLink><relatesTo>5</relatesTo><i> 317662561@qq.com</i><br /><searchLink fieldCode="AR" term="%22SUN%2C+Duanduan%22">SUN, Duanduan</searchLink><relatesTo>6</relatesTo><i> duan706009512@126.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Mechanika%22">Mechanika</searchLink>. 2025, Vol. 31 Issue 6, p578-588. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Dynamic+stiffness%22">Dynamic stiffness</searchLink><br /><searchLink fieldCode="DE" term="%22Ball+bearings%22">Ball bearings</searchLink><br /><searchLink fieldCode="DE" term="%22Design+techniques%22">Design techniques</searchLink><br /><searchLink fieldCode="DE" term="%22Kinematics%22">Kinematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink>
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  Data: With the rapid development of high-speed rotating equipment technology, angular contact ball bearings (ACBBs) have been increasingly widely applied in industry. However, there is still a lack of systematic design theory support for their service performance under high-speed operating conditions. In existing engineering practices, the design of ACBBs often focuses only on a single performance index, such as rated dynamic load, spin-roll ratio, or static stiffness, with little consideration of the dynamic behavior changes caused by the ball "outward-thrown" under high-speed operation. To fill the above research gaps, this paper innovatively introduces dynamic stiffness as a key design index and proposes a comprehensive design method integrating spin-roll ratio and rated dynamic load. By establishing the kinematic model of balls in the raceway, the analytical relationship of the spin-roll ratio under high-speed steady-state conditions is derived; the applicability of different dynamic load rating calculation models is systematically compared, and a mathematical model of dynamic stiffness is constructed along with a numerical solution strategy. On this basis, the intrinsic laws governing the evolution of rated dynamic load, spin-roll ratio, and dynamic (static) stiffness with key design parameters are revealed. This study clarifies the coupling mechanism of key design parameters under high-speed conditions and establishes a parameter design strategy based on collaborative optimization. It provides a theoretical basis and methodological support for solving problems in engineering applications of high-speed ACBBs, such as inaccurate parameter selection and difficulty in ensuring dynamic performance. The research results help to further improve the design system of high-speed ACBBs and have important guiding significance for enhancing the design quality and service reliability of bearing products. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Mechanika is the property of Mechanika 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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        Value: 10.5755/j02.mech.41155
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 11
        StartPage: 578
    Subjects:
      – SubjectFull: Dynamic stiffness
        Type: general
      – SubjectFull: Ball bearings
        Type: general
      – SubjectFull: Design techniques
        Type: general
      – SubjectFull: Kinematics
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
    Titles:
      – TitleFull: Optimization Design Method of High-Speed Angular Contact Ball Bearings.
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            NameFull: JI, Ye
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            NameFull: HUANG, Kun
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            NameFull: ZHENG, Haotian
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            NameFull: LI, Yanchun
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            NameFull: WANG, Dongfeng
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            NameFull: GAO, Congying
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            – D: 01
              M: 11
              Text: 2025
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              Y: 2025
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