Abstract
Aiming at the issue of sliding ratio, an internal gear pair is proposed which consists of an involute internal gear and a pinion with quadratic curve teeth. Particularly, the contact pattern is point contact and the pinion is generated based on an involute gear. The generation method and mathematical models of the gear pair are presented. The sliding ratio is calculated and the general calculation formulas of sliding ratios are developed. Also, the comparison between the involute gear and proposed gear is made. The adaptability of center distance and contact stress are also discussed. In addition, the gear pair was manufactured and inspected according to the exactitude solid model of the gear pair. In order to confirm this model to be effective, the efficiency experiment and the contrast experiment with the involute gear pair were performed. Furthermore, these two types of pinions were analyzed by scanning electron microscope and wear depths were measured by measuring center. The experiment results show that the efficiency of the internal gear pair is stable at a range about 97.1% to 98.6% and wear depth is less than 50% of the involute gear pair. The internal gear pair is expected to have excellent transmission performance.
摘要
基于齿轮滑动率,提出一种点啮合内齿轮副,该齿轮副由渐开线内齿轮和齿廓为二次曲线的外 齿轮构成,其中,小齿轮为在渐开线齿轮基础上所构建。提出了齿轮成形方法与数学模型。计算该齿 轮副滑动率,并与渐开线齿轮进行对比。讨论齿轮副中心距可分性和接触应力。根据设计参数对齿轮 副进行加工和检测。为验证模型的正确性,进行效率试验和与渐开线齿轮副的对比实验。此外,通过 扫描电子显微镜分析两种类型小齿轮的表面形貌,并用测量中心测量齿轮磨损深度。实验结果表明, 所提出的齿轮副效率稳定在97.1%到98.6%之间,磨损程度小于同参数渐开线齿轮的50%。
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Foundation item: Project(51575062) supported by the National Natural Science Foundation of China; Project(SM2014D202) supported by the Fund of Shanghai Key Laboratory of Spacecraft Mechanism, China
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Peng, S., Ma, Zf., Chen, Bk. et al. Theoretical and experimental investigation on internal gear pair with small sliding ratio. J. Cent. South Univ. 25, 831–842 (2018). https://doi.org/10.1007/s11771-018-3787-7
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DOI: https://doi.org/10.1007/s11771-018-3787-7