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渐开线少齿差行星传动线面共轭啮合理论研究

Research on Curve-Surface Conjugate Theory of Involute Planetary Transimission with Small Tooth Difference

【作者】 官雪梅

【导师】 陈兵奎;

【作者基本信息】 重庆大学 , 机械设计及理论, 2011, 硕士

【摘要】 渐开线少齿差行星传动具有单级减速比大、传动平稳、结构紧凑、中心距可分、制造加工技术成熟、啮合副为凸凹接触、轮齿的接触应力小、承载能力高等优点,因而得到了广泛的应用。开展渐开线少齿差行星传动基础理论的研究,创新其啮合的原理,对于降低啮合副滑动率、提高传动性能等具有重要的理论意义和工程实用价值。本文的主要内容包括:①根据齿轮啮合相关原理,提出了渐开线线面共轭的概念,推导了渐开线少齿差线面共轭啮合副齿廓接触线方程、啮合方程等;论证了渐开线线面共轭啮合副啮合过程为点接触,其端面投影仍为渐开线共轭啮合副,具有渐开线齿轮传动中心距可分等优点。②提出了管状啮合齿面(啮合管)的概念,建立了渐开线管状啮合齿面方程,讨论了啮合管与共轭曲面的啮合传动特性。③由啮合副滑动率的定义,给出运用啮合副齿廓共轭曲线方程推导啮合副滑动率的通用方法;推导了渐开线少齿差行星传动传统啮合副和线面共轭啮合副的滑动率计算公式;与渐开线传统啮合副相比,线面啮合副最大滑动系数降低了近100倍;讨论了齿廓参数对渐开线面啮合副滑动率的影响。④根据渐开线线面共轭啮合理论,给出了基于线面共轭的渐开线少齿差行星传动的设计方法及设计实例,讨论了基于PROE的渐开线线面共轭啮合副参数化设计方法。⑤建立了渐开线少齿差行星传动传统啮合副及线面啮合副接触有限元分析模型,利用ANSYS求解器进行求解,并对结果进行了对比分析,进一步揭示渐开线线面啮合副的接触特性。

【Abstract】 Involute planetary transmission with small tooth difference is widely used in mechnical engineering for its advantages such as high transmission ratio, compact structure, detachable central distance, developed processing technology, convexo-concave mating surface, low contact press, high bearing capacity etc. This thesis will mainly study the curve-surface conjugate meshing theory of the involut planetary transimission with small tooth differenc. It is of important theoretic significance and practical value for reducing the slippage of meshing pair and improving the characteristics of transmission, etc.Major contents of the thesis as follows:①The involute curve-surface conjugate theory was proposed according to the gear geometry theory interrelated; the tooth profile contact lines’equations and meshing equations of the involute curve-surface conjugate meshing pair with small tooth difference were deducted; It was demonstrated that the meshing process of the involute curve-surface conjugate pair was point-contact and can keep the advantages of the conventional involute pair such as the detachability of the center distance etc.for its end plane projection was still conventional involute pair.②A new tubular tooth profile surface named meshing tube was proposed to substitute the involue tooth surface of the planetary gear; the involute tubular tooth profile equation was established; And the meshing characteristic between the meshing tube and the conjugate surface were disscussed.③Based on the definition of the slip ratio between the meshing pair, a new method that the slip ratio could be resolved by the conjugate equation was proposed; Both the tranditial involute conjugate and the curve-surface conjugate meshing pair’s slip ratio equation were deducted; Conpared with the trandital involute meshign pair, the maximal slip ratio of the curve-surface meshing pair has been almost 100 times reduced. Further more, the effect from the value difference of tooth profile parameter to the slip ratio is disscused.④According to the result of theoretical research, the design methodology of the involute curve-surface conjugate planetary transimission with small tooth difference was put forward and an example was followed; The parameterization modelling method based on PROE was carried out. ⑤Both the tranditial involute surface-surface conjugate and the curve-surface conjugate meshing pair’s finite elements contact models were built; The analysis result of the contact pair rosolved in ANSYS was compared.

  • 【网络出版投稿人】 重庆大学
  • 【网络出版年期】2012年 01期
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