Fractal theory-based method for generating rough tooth surface point cloud of high-precision gear pair

By using a point cloud generation method for rough tooth surfaces of gear pairs based on fractal theory, the problem of microscopic morphology modeling of high-precision gear pair tooth surfaces has been solved, enabling high-precision gear pair contact analysis and lubrication performance prediction, and promoting the development of related engineering technologies.

CN122413614APending Publication Date: 2026-07-17GUANGXI UNIV

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
GUANGXI UNIV
Filing Date
2026-05-12
Publication Date
2026-07-17

AI Technical Summary

Technical Problem

Traditional methods are insufficient to accurately characterize the multi-scale features and anisotropic distribution of the micro-roughness of high-precision gear teeth, which affects the accuracy of gear contact analysis and lubrication modeling.

Method used

Based on fractal theory, a three-dimensional point cloud benchmark model is constructed by discretizing the parametric equations of the gear tooth surface. Combined with fractal theory, a roughness field model that conforms to statistical characteristic constraints is generated, realizing the synergistic coupling of micro-undulation features and macro-geometry of the tooth surface.

Benefits of technology

It improves the accuracy and stability of rough tooth surface modeling, provides a reliable geometric basis for gear pair contact analysis, lubrication performance prediction and dynamic modeling, and promotes the development of related engineering technologies.

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Abstract

本发明公开了基于分形理论的高精密齿轮副粗糙齿面点云生成方法,根据齿轮产形运动建立齿轮齿面方程,对齿面进行离散化求解,获得齿轮光滑齿面的三维点云数据;随后基于分形理论建立齿面自仿射分形粗糙模型,通过引入分形维数、特征尺度系数及随机相位等参数构造齿面微观高度分布,并将其叠加至光滑齿面点云,实现齿轮粗糙齿面三维点云的生成。本发明能够真实表征齿轮齿面粗糙特征,为齿轮齿面微观形貌建模提供有效方法。
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