Lightweight design of gear tooth based on conformal geometry under the layering strategy.

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Title: Lightweight design of gear tooth based on conformal geometry under the layering strategy.
Authors: Ding, Jiang1,2,3 (AUTHOR) jding@gxu.edu.cn, Xie, Kunliang1 (AUTHOR), Wu, Fei1,4 (AUTHOR), Zeng, Ziyang1,3 (AUTHOR)
Source: Journal of Mechanical Science & Technology. Jun2026, Vol. 40 Issue 6, p4509-4521. 13p.
Subjects: Conformal geometry, Mathematical optimization, Multidisciplinary design optimization, Mechanical behavior of materials, Optimization algorithms
Abstract: Lightweight of gear is important to industrial production by reducing the inertia of the transmission system, reducing the resistance that the motor needs to overcome. Currently, lightweight design of gear tooth is achieved by combining filling structure with the shell body gear tooth, resulting in a relatively large decline in stiffness. To realize the lightweight while maintaining the stiffness, this paper proposes a method for light-weight design of gear tooth based on conformal geometry under a layering optimization strategy. Under a layering strategy, the shell body gear tooth is divided into a continuous finite number of layers, and the first layer is taken as the fixed layer to maintain the geometric characteristics of the outer surface. Based on con-formal geometry theory, the optimization layer is mapped from the three-dimensional domain to a two-dimensional domain to reduce the computational cost of optimization. After optimization, the optimized shell body gear tooth is approximately and smoothly stacked through continuous two-dimensional optimal structure. Numerical calculations and experimental results show that the lightweight gear designed by this method realizes the optimal distribution of materials. On the premise of basically maintaining the original mechanical properties, the weight of gear tooth is reduced by 65.42 %. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Mechanical Science & Technology 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: <searchLink fieldCode="DE" term="%22Conformal+geometry%22">Conformal geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Multidisciplinary+design+optimization%22">Multidisciplinary design optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Mechanical+behavior+of+materials%22">Mechanical behavior of materials</searchLink><br /><searchLink fieldCode="DE" term="%22Optimization+algorithms%22">Optimization algorithms</searchLink>
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  Data: Lightweight of gear is important to industrial production by reducing the inertia of the transmission system, reducing the resistance that the motor needs to overcome. Currently, lightweight design of gear tooth is achieved by combining filling structure with the shell body gear tooth, resulting in a relatively large decline in stiffness. To realize the lightweight while maintaining the stiffness, this paper proposes a method for light-weight design of gear tooth based on conformal geometry under a layering optimization strategy. Under a layering strategy, the shell body gear tooth is divided into a continuous finite number of layers, and the first layer is taken as the fixed layer to maintain the geometric characteristics of the outer surface. Based on con-formal geometry theory, the optimization layer is mapped from the three-dimensional domain to a two-dimensional domain to reduce the computational cost of optimization. After optimization, the optimized shell body gear tooth is approximately and smoothly stacked through continuous two-dimensional optimal structure. Numerical calculations and experimental results show that the lightweight gear designed by this method realizes the optimal distribution of materials. On the premise of basically maintaining the original mechanical properties, the weight of gear tooth is reduced by 65.42 %. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Mechanical Science & Technology 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/s12206-026-0532-2
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 4509
    Subjects:
      – SubjectFull: Conformal geometry
        Type: general
      – SubjectFull: Mathematical optimization
        Type: general
      – SubjectFull: Multidisciplinary design optimization
        Type: general
      – SubjectFull: Mechanical behavior of materials
        Type: general
      – SubjectFull: Optimization algorithms
        Type: general
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      – TitleFull: Lightweight design of gear tooth based on conformal geometry under the layering strategy.
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            NameFull: Ding, Jiang
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            NameFull: Xie, Kunliang
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            NameFull: Wu, Fei
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            NameFull: Zeng, Ziyang
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – TitleFull: Journal of Mechanical Science & Technology
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