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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]
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Database: Engineering Source
Description
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]
ISSN:1738494X
DOI:10.1007/s12206-026-0532-2