Investigating tooth surface reconstruction principle of a gear rack and pinion system with variable transmission ratio pinion

文献类型： 外文期刊

第一作者： Niu, Ziru

作者： Niu, Ziru;Liu, Fuhui;Zou, Liangliang;Xin, Zhenbo;Liu, Xinghua;Peng, Wang;Da, Cao;Yang, Deqiu;Zou, Liangliang

作者机构：

关键词： Steering box; variable transmission ratio tooth surface; pinion and rack; non-involute gears; tooth contact analysis

期刊名称：PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE （ 影响因子：2.0； 五年影响因子：2.0 ）

ISSN： 0954-4062

年卷期： 2024 年 238 卷 12 期

页码：

收录情况： SCI

摘要： Rack-and-pinion gear sets with variable transmission ratios have gradually become a standard core component in steering systems, as the harmony between portability and sensitivity in vehicle steering can be achieved with such applications. When the conventional meshing theory is adopted to calculate point clouds of variable-ratio tooth surfaces, drawbacks will occur with respect to unevenness in point cloud density, inaccessible tooth surface boundaries, and point cloud fusion at the interface between the working tooth surface and fillet. Thus, the generated point cloud of variable ratio tooth surfaces is inapplicable for computer-aided engineering (CAE) and plastic forming. In this study, the point cloud reconstruction of pinion tooth surfaces with variable transmission ratio was investigated. Meanwhile, based on the analysis of transient length in contact lines that occur during gear meshing, various criteria were proposed to determine the validity of the variable-ratio rack-and-pinion design in terms of whether continuous and reverse driving can be achieved. By adopting the proposed methods, the designed variable-ratio pinion tooth surfaces demonstrate point clouds with equidistant distributions and clear boundaries. CAE analysis results also indicate a good quality in gear meshing. The real-time gear meshing status of variable-ratio rack-and-pinion sets is characterized by the transient length of contact lines. The measured variation curves for the transmission ratios of a prototype demonstrate significant consistency with the theoretical curves, indicated by attaining transmission ratio errors within a reasonable range. The validity of the design methods proposed in this study has been verified by the aforementioned results.

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