渐开线少齿差行星传动线面共轭啮合理论研究
发布时间:2019-03-30 21:28
【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]:The involute planetary transmission with few teeth difference has the advantages of large single-stage deceleration ratio, stable transmission, compact structure, separable center distance, mature manufacturing technology, convex and concave contact of meshing pairs, small contact stress of gear teeth and high bearing capacity, etc. Therefore, it has been widely used. The research on the basic theory of the involute planetary transmission with few teeth difference and the innovation of its meshing principle have important theoretical significance and engineering practical value for reducing the sliding rate of the meshing pair and improving the transmission performance. The main contents of this paper are as follows: (1) according to the principle of gear meshing, the concept of involute surface conjugation is put forward, and the contact line equation and meshing equation of involute few tooth difference surface conjugate meshing pair are derived. It is proved that the meshing process of involute conjugate meshing pair is point contact, and its end projection is still involute conjugate meshing pair, which has the advantages of separable center distance of involute gear transmission. 2 the concept of tubular meshing tooth surface (meshing tube) is put forward, and the equation of involute meshing tooth surface is established, and the meshing transmission characteristics of meshing tube and conjugate surface are discussed. 3Based on the definition of sliding rate of meshing pair, the general method of deducing the sliding rate of meshing pair by using conjugate curve equation of tooth profile of meshing pair is given, and the formula for calculating the slip rate of traditional meshing pair and conjugate meshing pair on line surface of involute few tooth difference planetary transmission is derived. Compared with the traditional involute meshing pair, the maximum sliding coefficient of the linear meshing pair is reduced by nearly 100 times, and the influence of tooth profile parameters on the sliding rate of the involute meshing pair is discussed. 4 according to the conjugate meshing theory of involute surface, the design method and the design example of the involute few tooth difference planetary transmission based on the conjugate involute surface are given, and the parametric design method of the involute conjugate meshing pair based on PROE is discussed. (5) the finite element analysis model of contact between traditional mesh pair and line-surface mesh pair of involute less tooth difference planetary transmission is established and solved by ANSYS solver. The results are compared and analyzed, and the contact characteristics of involute surface meshing pair are further revealed.
【学位授予单位】:重庆大学
【学位级别】:硕士
【学位授予年份】:2011
【分类号】:TH132.413
本文编号:2450505
[Abstract]:The involute planetary transmission with few teeth difference has the advantages of large single-stage deceleration ratio, stable transmission, compact structure, separable center distance, mature manufacturing technology, convex and concave contact of meshing pairs, small contact stress of gear teeth and high bearing capacity, etc. Therefore, it has been widely used. The research on the basic theory of the involute planetary transmission with few teeth difference and the innovation of its meshing principle have important theoretical significance and engineering practical value for reducing the sliding rate of the meshing pair and improving the transmission performance. The main contents of this paper are as follows: (1) according to the principle of gear meshing, the concept of involute surface conjugation is put forward, and the contact line equation and meshing equation of involute few tooth difference surface conjugate meshing pair are derived. It is proved that the meshing process of involute conjugate meshing pair is point contact, and its end projection is still involute conjugate meshing pair, which has the advantages of separable center distance of involute gear transmission. 2 the concept of tubular meshing tooth surface (meshing tube) is put forward, and the equation of involute meshing tooth surface is established, and the meshing transmission characteristics of meshing tube and conjugate surface are discussed. 3Based on the definition of sliding rate of meshing pair, the general method of deducing the sliding rate of meshing pair by using conjugate curve equation of tooth profile of meshing pair is given, and the formula for calculating the slip rate of traditional meshing pair and conjugate meshing pair on line surface of involute few tooth difference planetary transmission is derived. Compared with the traditional involute meshing pair, the maximum sliding coefficient of the linear meshing pair is reduced by nearly 100 times, and the influence of tooth profile parameters on the sliding rate of the involute meshing pair is discussed. 4 according to the conjugate meshing theory of involute surface, the design method and the design example of the involute few tooth difference planetary transmission based on the conjugate involute surface are given, and the parametric design method of the involute conjugate meshing pair based on PROE is discussed. (5) the finite element analysis model of contact between traditional mesh pair and line-surface mesh pair of involute less tooth difference planetary transmission is established and solved by ANSYS solver. The results are compared and analyzed, and the contact characteristics of involute surface meshing pair are further revealed.
【学位授予单位】:重庆大学
【学位级别】:硕士
【学位授予年份】:2011
【分类号】:TH132.413
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