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Synchronous Coupling Characteristics of a Dual Vibrator-Driven Vibration System with Two Internal Degrees of Freedom.

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Title: Synchronous Coupling Characteristics of a Dual Vibrator-Driven Vibration System with Two Internal Degrees of Freedom.
Authors: Chen, Chen1 (AUTHOR), Zhang, Xueliang1,2 (AUTHOR) luckyzxl7788@163.com, Hu, Wenchao1 (AUTHOR), Li, Ming1 (AUTHOR), Wen, Bangchun1 (AUTHOR)
Source: Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ). Sep2025, Vol. 50 Issue 17, p14179-14195. 17p.
Subjects: Mechanical vibration research, Vibrators, Couplings (Gearing), Numerical calculations, Scientific method, Industrial applications, Degrees of freedom
Abstract: This paper designs a double-cylinder vibrating ball mill system driven by double motors, which consists of two internal rigid bodies and an external rigid body with two vibrators. The theoretical conditions for achieving synchronous behavior in the system are explored using the averaging method, and characteristic analysis is performed based on this. Then, the numerical results are calculated by using the Runge–Kutta method. The mutual comparison between characteristics and numerical results examines the correctness of the theoretical investigation in the present paper. It also indicates that the system exhibits synchronous behavior in all three regions, and for engineering applications, Region I is a better choice. The advantage of Region I is that the internal rigid body has an elliptical motion with a large amplitude, and the external rigid body has almost no vibration. This can utilize the amplitude of the synchronous behavior and reduce the dynamic load transmitted by the system to the foundation. Additionally, the results show that key structural parameters significantly affect the feasible range of stable synchronization behavior. The research results can provide design guidelines to optimize the ideal working range of the new vibration grinding equipment in engineering. [ABSTRACT FROM AUTHOR]
Copyright of Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ) 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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  Label: Title
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  Data: Synchronous Coupling Characteristics of a Dual Vibrator-Driven Vibration System with Two Internal Degrees of Freedom.
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  Data: <searchLink fieldCode="AR" term="%22Chen%2C+Chen%22">Chen, Chen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhang%2C+Xueliang%22">Zhang, Xueliang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> luckyzxl7788@163.com</i><br /><searchLink fieldCode="AR" term="%22Hu%2C+Wenchao%22">Hu, Wenchao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Ming%22">Li, Ming</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wen%2C+Bangchun%22">Wen, Bangchun</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="DE" term="%22Mechanical+vibration+research%22">Mechanical vibration research</searchLink><br /><searchLink fieldCode="DE" term="%22Vibrators%22">Vibrators</searchLink><br /><searchLink fieldCode="DE" term="%22Couplings+%28Gearing%29%22">Couplings (Gearing)</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Industrial+applications%22">Industrial applications</searchLink><br /><searchLink fieldCode="DE" term="%22Degrees+of+freedom%22">Degrees of freedom</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper designs a double-cylinder vibrating ball mill system driven by double motors, which consists of two internal rigid bodies and an external rigid body with two vibrators. The theoretical conditions for achieving synchronous behavior in the system are explored using the averaging method, and characteristic analysis is performed based on this. Then, the numerical results are calculated by using the Runge–Kutta method. The mutual comparison between characteristics and numerical results examines the correctness of the theoretical investigation in the present paper. It also indicates that the system exhibits synchronous behavior in all three regions, and for engineering applications, Region I is a better choice. The advantage of Region I is that the internal rigid body has an elliptical motion with a large amplitude, and the external rigid body has almost no vibration. This can utilize the amplitude of the synchronous behavior and reduce the dynamic load transmitted by the system to the foundation. Additionally, the results show that key structural parameters significantly affect the feasible range of stable synchronization behavior. The research results can provide design guidelines to optimize the ideal working range of the new vibration grinding equipment in engineering. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ) 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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        Value: 10.1007/s13369-024-09705-z
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 14179
    Subjects:
      – SubjectFull: Mechanical vibration research
        Type: general
      – SubjectFull: Vibrators
        Type: general
      – SubjectFull: Couplings (Gearing)
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      – SubjectFull: Numerical calculations
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      – SubjectFull: Scientific method
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      – SubjectFull: Industrial applications
        Type: general
      – SubjectFull: Degrees of freedom
        Type: general
    Titles:
      – TitleFull: Synchronous Coupling Characteristics of a Dual Vibrator-Driven Vibration System with Two Internal Degrees of Freedom.
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            NameFull: Chen, Chen
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            NameFull: Zhang, Xueliang
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            NameFull: Hu, Wenchao
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            NameFull: Wen, Bangchun
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            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
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