Investigation of Time-Varying Backlash of Spur Gears in Thermoelastic Coupling Conditions.

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Title: Investigation of Time-Varying Backlash of Spur Gears in Thermoelastic Coupling Conditions.
Authors: He, Y. B.1,2 (AUTHOR) hyb20222022@163.com, Yang, H. B.1,3,4 (AUTHOR)
Source: Strength of Materials. Jan2024, Vol. 56 Issue 1, p166-181. 16p.
Subjects: Couplings (Gearing), Backlash (Engineering), Spur gearing, Gearing machinery, Thermal expansion
Abstract: In gearing systems with frequent forward and reverse rotation, improper backlash settings will produce serious vibration and impact. This study obtains the precise time-varying backlash of a spur gear pair in thermoelastic coupling conditions. Based on the principle of gear meshing, the phase difference between the meshing and backlash points in the gear transmission process was determined. A new gear backlash model (the segmented backlash model) is proposed. The model considers the influences of the thermoelastic deformation of the meshing point, thermal contact deformation, and oil film thickness on the backlash in thermoelastic coupling conditions. Thermal expansion of the backlash point was directly considered, and a calculation method for each backlash component was presented. The distribution curves of the backlash along the Drive-Side Line of Action (DLoA) and the Back-Side Line of Action (BLoA), as well as the time-varying backlash curve, were obtained. The results show that, compared to the influences of thermoelastic deformation, thermal contact deformation, and thermal expansion on the backlash, the influence of the oil film thickness can be neglected when initially estimating the gear backlash. Mutations in the time-varying backlash emerge at the alternating points of the single- and double-tooth meshing regions and within the double-teeth meshing region. These research findings can be directly applied to the dynamic analysis of gear systems. [ABSTRACT FROM AUTHOR]
Copyright of Strength of Materials 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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  Data: Investigation of Time-Varying Backlash of Spur Gears in Thermoelastic Coupling Conditions.
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  Data: <searchLink fieldCode="DE" term="%22Couplings+%28Gearing%29%22">Couplings (Gearing)</searchLink><br /><searchLink fieldCode="DE" term="%22Backlash+%28Engineering%29%22">Backlash (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Spur+gearing%22">Spur gearing</searchLink><br /><searchLink fieldCode="DE" term="%22Gearing+machinery%22">Gearing machinery</searchLink><br /><searchLink fieldCode="DE" term="%22Thermal+expansion%22">Thermal expansion</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In gearing systems with frequent forward and reverse rotation, improper backlash settings will produce serious vibration and impact. This study obtains the precise time-varying backlash of a spur gear pair in thermoelastic coupling conditions. Based on the principle of gear meshing, the phase difference between the meshing and backlash points in the gear transmission process was determined. A new gear backlash model (the segmented backlash model) is proposed. The model considers the influences of the thermoelastic deformation of the meshing point, thermal contact deformation, and oil film thickness on the backlash in thermoelastic coupling conditions. Thermal expansion of the backlash point was directly considered, and a calculation method for each backlash component was presented. The distribution curves of the backlash along the Drive-Side Line of Action (DLoA) and the Back-Side Line of Action (BLoA), as well as the time-varying backlash curve, were obtained. The results show that, compared to the influences of thermoelastic deformation, thermal contact deformation, and thermal expansion on the backlash, the influence of the oil film thickness can be neglected when initially estimating the gear backlash. Mutations in the time-varying backlash emerge at the alternating points of the single- and double-tooth meshing regions and within the double-teeth meshing region. These research findings can be directly applied to the dynamic analysis of gear systems. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Strength of Materials 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/s11223-024-00641-9
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      – Code: eng
        Text: English
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        PageCount: 16
        StartPage: 166
    Subjects:
      – SubjectFull: Couplings (Gearing)
        Type: general
      – SubjectFull: Backlash (Engineering)
        Type: general
      – SubjectFull: Spur gearing
        Type: general
      – SubjectFull: Gearing machinery
        Type: general
      – SubjectFull: Thermal expansion
        Type: general
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      – TitleFull: Investigation of Time-Varying Backlash of Spur Gears in Thermoelastic Coupling Conditions.
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              Text: Jan2024
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              Y: 2024
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