多腹板耦合斜齿圆柱齿轮的啮合特性分析
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1.兰州交通大学;2.兰州交通大学 机电工程学院

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TH132.413

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甘肃省重点研发计划-工业类项目(26YFGA020)


Analysis of Meshing Characteristics of Multi?Web Coupled Helical Cylindrical Gears
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School of Mechanical Engineering,Lanzhou Jiaotong University

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    摘要:

    针对多腹板耦合斜齿圆柱齿轮啮合刚度计算中存在的基体与轮齿变形协调性问题,本文综合运用有限元法和能量法,构建了多腹板斜齿轮传动系统的啮合刚度计算方法,依据斜齿轮啮合特点将切片齿轮啮合刚度错位叠加,准确获取了多腹板斜齿轮啮合刚度和载荷分布系数,以对称3腹板斜齿轮为研究对象,研究了轮缘厚度比、侧腹板厚度比、中腹板厚度比以及侧腹板偏距对多腹板斜齿轮啮合刚度和载荷分布系数的影响规律,并探讨了不同参数下总啮合刚度与单齿啮合刚度的分布特征。结果表明,结合有限元法和能量法能够有效获取不同腹板配置下多腹板斜齿轮的啮合刚度分布规律;侧腹板、中腹板和轮缘厚度比的增加均会提升啮合刚度;腹板集中布置会造成啮合刚度大幅下降;合理设计多腹板齿轮的结构参数,能够改善刚度分布,有效缩减载荷分布系数。

    Abstract:

    To address the deformation compatibility issue between the gear body and the teeth in the meshing stiffness calculation of multi-web helical gears, this study integrates the finite element method (FEM) and the energy method to develop a meshing stiffness calculation approach for multi-web helical gear transmission systems. According to the meshing characteristics of helical gears, the meshing stiffness of sliced gear segments is superposed with a phase offset, enabling accurate determination of the meshing stiffness and the load distribution factor of multi-web helical gears. Taking a symmetric three-web helical gear as the research object, the effects of the rim thickness ratio, side-web thickness ratio, middle-web thickness ratio, and side-web offset on the meshing stiffness and load distribution factor are investigated. The distribution characteristics of the total meshing stiffness and the single-tooth meshing stiffness under different parameter settings are also discussed. The results show that the combined FEM–energy method can effectively capture the meshing stiffness distribution of multi-web helical gears with different web configurations. Increasing the thickness ratios of the side web, middle web, and rim all enhances the meshing stiffness, whereas a concentrated web arrangement leads to a substantial reduction in meshing stiffness. A rational design of the structural parameters of multi-web gears can improve the stiffness distribution and effectively reduce the load distribution factor.

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石慧荣,张强,赵冬艳. 多腹板耦合斜齿圆柱齿轮的啮合特性分析[J]. 科学技术与工程, , ():

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  • 收稿日期:2026-03-12
  • 最后修改日期:2026-04-23
  • 录用日期:2026-05-10
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