Study on the influence of internal bearing parameters on the critical speed and vibration behavior of the rotor-bearing coupled system.

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Title: Study on the influence of internal bearing parameters on the critical speed and vibration behavior of the rotor-bearing coupled system.
Authors: Zhang, Fanyu1,2 (AUTHOR), Zhao, Yulai1,2 (AUTHOR), Zhu, Qingyu2,3 (AUTHOR) zhuqy@mail.tsinghua.edu.cn, Meng, Xiangyu1,2 (AUTHOR), Lin, Junzhe1,2 (AUTHOR), Han, Qingkai1,2 (AUTHOR)
Source: Applied Mathematics & Mechanics. Mar2026, Vol. 47 Issue 3, p653-674. 22p.
Subjects: Critical speeds (Engineering), Vibration (Mechanics), Ball bearings, Roller bearings, Optimization algorithms, Rotor dynamics, Rotor bearings, Bearings (Machinery)
Abstract: The dual challenges of critical speed prediction inaccuracies and ambiguous vibration behaviors are present in high-speed flexible rotors, particularly in free turbine rotors in turboshaft engine systems. The study begins with an examination of the rotor-bearing bidirectional coupling mechanism, with a primary focus on the nonlinear characteristics of the bearing. An investigation is carried out on the mechanical modeling methodologies for four-point contact ball bearings (FPCBBs) and cylindrical roller bearings (CRBs). To address the issue of excessive computational time in traditional bearing calculation methods, the sled dog optimization (SDO) algorithm is substituted for the conventional Newton-Raphson method. A rotor-bearing coupling dynamics model is developed by the finite element and lumped mass methods, with experimental validation achieved through a simulator test rig. The effects of three internal bearing parameters in FPCBBs (arching width and raceway groove curvature coefficient) and CRBs (initial radial clearance) on the critical speed characteristics and vibrational behavior of rotor-bearing coupled systems are examined. The numerical simulation results show some interesting conclusions. [ABSTRACT FROM AUTHOR]
Copyright of Applied Mathematics & Mechanics is the property of Springer Nature 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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DbLabel: Engineering Source
An: 191977866
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  Label: Title
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  Data: Study on the influence of internal bearing parameters on the critical speed and vibration behavior of the rotor-bearing coupled system.
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Fanyu%22">Zhang, Fanyu</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhao%2C+Yulai%22">Zhao, Yulai</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhu%2C+Qingyu%22">Zhu, Qingyu</searchLink><relatesTo>2,3</relatesTo> (AUTHOR)<i> zhuqy@mail.tsinghua.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Meng%2C+Xiangyu%22">Meng, Xiangyu</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lin%2C+Junzhe%22">Lin, Junzhe</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Han%2C+Qingkai%22">Han, Qingkai</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Mechanics%22">Applied Mathematics & Mechanics</searchLink>. Mar2026, Vol. 47 Issue 3, p653-674. 22p.
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  Data: <searchLink fieldCode="DE" term="%22Critical+speeds+%28Engineering%29%22">Critical speeds (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+%28Mechanics%29%22">Vibration (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Ball+bearings%22">Ball bearings</searchLink><br /><searchLink fieldCode="DE" term="%22Roller+bearings%22">Roller bearings</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Rotor+dynamics%22">Rotor dynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Rotor+bearings%22">Rotor bearings</searchLink><br /><searchLink fieldCode="DE" term="%22Bearings+%28Machinery%29%22">Bearings (Machinery)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The dual challenges of critical speed prediction inaccuracies and ambiguous vibration behaviors are present in high-speed flexible rotors, particularly in free turbine rotors in turboshaft engine systems. The study begins with an examination of the rotor-bearing bidirectional coupling mechanism, with a primary focus on the nonlinear characteristics of the bearing. An investigation is carried out on the mechanical modeling methodologies for four-point contact ball bearings (FPCBBs) and cylindrical roller bearings (CRBs). To address the issue of excessive computational time in traditional bearing calculation methods, the sled dog optimization (SDO) algorithm is substituted for the conventional Newton-Raphson method. A rotor-bearing coupling dynamics model is developed by the finite element and lumped mass methods, with experimental validation achieved through a simulator test rig. The effects of three internal bearing parameters in FPCBBs (arching width and raceway groove curvature coefficient) and CRBs (initial radial clearance) on the critical speed characteristics and vibrational behavior of rotor-bearing coupled systems are examined. The numerical simulation results show some interesting conclusions. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Applied Mathematics & Mechanics is the property of Springer Nature 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: 10.1007/s10483-026-3357-7
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      – Code: eng
        Text: English
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        PageCount: 22
        StartPage: 653
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      – SubjectFull: Critical speeds (Engineering)
        Type: general
      – SubjectFull: Vibration (Mechanics)
        Type: general
      – SubjectFull: Ball bearings
        Type: general
      – SubjectFull: Roller bearings
        Type: general
      – SubjectFull: Optimization algorithms
        Type: general
      – SubjectFull: Rotor dynamics
        Type: general
      – SubjectFull: Rotor bearings
        Type: general
      – SubjectFull: Bearings (Machinery)
        Type: general
    Titles:
      – TitleFull: Study on the influence of internal bearing parameters on the critical speed and vibration behavior of the rotor-bearing coupled system.
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            NameFull: Zhang, Fanyu
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            NameFull: Zhao, Yulai
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            NameFull: Zhu, Qingyu
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            NameFull: Meng, Xiangyu
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            NameFull: Lin, Junzhe
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            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
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              Value: 47
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