斜齿轮表面形貌分形特征对时变接触刚度的影响

doi:10.3969/j.issn.1004-132X.2025.01.006

摘要/Abstract

摘要： 基于改进的W-M分形函数，利用齿高和齿宽表征斜齿轮齿面的表面形貌。采用圆锥微凸体并考虑啮合过程中斜齿轮接触曲率半径的时变性建立了斜齿轮时变接触刚度模型，计算发现基于圆锥微凸体模型计算的时变啮合刚度与ISO6336-1—2006标准计算所得结果接近。研究结果表明，斜齿轮的时变接触载荷和时变接触刚度随着分形维数、特征尺度系数、量纲一接触面积、材料塑性指数的变化而表现出不同的变化趋势。

关键词: 斜齿轮啮合, 表面形貌, 分形特征, 圆锥微凸体, 时变接触刚度

Abstract: Based on the improved W-M fractal function, the surface morphology of helical gear teeth was characterized from tooth height and tooth width. A time-varying contact stiffness model for helical gears was established by adopting a conical asperity and considering the time-varying contact radius of curvature of helical gears during the meshing processes. The time-varying mesh stiffness calculated based on the conical asperity model was found to be close to that obtained from the calculation of the ISO6336-1—2006 standard. The results show that the time-varying contact load and time-varying contact stiffness of helical gears exhibit different trends with changes in fractal dimension, characteristic scale coefficient, dimensional contact area, and material plasticity index.

Key words: , helical gear mesh, surface topography, fractal feature, conical asperity, time-varying contact stiffness

中图分类号:

TH132.41

吴石, 高增阔, 王明珠, 赵成睿. 斜齿轮表面形貌分形特征对时变接触刚度的影响[J]. 中国机械工程, 2025, 36(01): 59-68,77.

WU Shi, GAO Zengkuo, WANG Mingzhu, ZHAO Chengrui. Influences of Fractal Features of Helical Gear Surface Topography on Time-varying Contact Stiffness[J]. China Mechanical Engineering, 2025, 36(01): 59-68,77.

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链接本文: https://www.cmemo.org.cn/CN/10.3969/j.issn.1004-132X.2025.01.006

https://www.cmemo.org.cn/CN/Y2025/V36/I01/59

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