高阶多段变性椭圆齿轮设计方法及其制造理论研究

发布时间：2018-03-08 01:30

本文选题：高阶多段变性椭圆齿轮　切入点：椭圆族封闭齿轮　出处：《合肥工业大学》2015年博士论文　论文类型：学位论文

【摘要】：非圆齿轮综合了圆齿轮和凸轮机构的优点,能准确地以变传动比传递较大的动力,还可用于实现精确非圆轨迹的运动。由于种类繁多、形状各异、传动副设计计算复杂,特别是滚、插等加工时联动轴的(角)速度、(角)加速度时变剧烈,加工困难且精度难以保证。为发挥非圆齿轮传动独特优势及满足大量制造的现实需要,对非圆齿轮进行理论统一及研究高精高效制造技术具有重要价值。用高阶多段变性椭圆齿轮统一刻画椭圆族封闭齿轮,探索高阶多段变性椭圆齿轮共轭对传动机理,分析其传动特性,达到标准化设计之目标,为同行广泛采纳和应用。针对当前普遍采用效率低下的线切割加工非圆齿轮的现状,本文优化及遴选非圆齿轮滚齿和插削联动方案及数学模型,构建完整的制造理论,重点研究非圆齿轮对角滚齿方法及非圆斜齿轮制造理论,实现高精高效低成本加工非圆(斜)齿轮之目标。本文在对国内外非匀速比传动设计方法及非圆齿轮制造技术分析总结的基础上,采用理论分析、数值模拟和实验相结合的方法,对高阶多段变性椭圆齿轮的设计方法、特性,及包括高阶多段变性椭圆齿轮在内的自由节曲线非圆齿轮的滚齿、插齿等技术进行了深入研究。完成的主要研究工作和成果总结如下：1)研究椭圆族封闭齿轮传动理论。根据应用中最大、最小传动比要求,提出高阶椭圆齿轮、二段变性椭圆齿轮、高阶二段变性椭圆齿轮传动的实用设计方法；特别研究了椭圆族斜齿轮和椭圆族内啮合齿轮传动理论；在此基础上,提出高阶多段变性椭圆齿轮这一椭圆族封闭齿轮的统一数学表达式,研究了啮合对的设计方法和性能特性。2)研究高阶多段变性椭圆齿轮CAD系统和虚拟加工方法。基于Matlab与VBA混合编程开发出功能齐全的高阶多段变性椭圆齿轮CAD系统,还研究了高阶多段变性椭圆齿轮滚齿和插齿虚拟加工技术。3)研究多策略椭圆族封闭齿轮滚齿加工技术。包括非对角滚四轴联动、非对角滚五轴联动、对角滚五轴联动、对角滚六轴联动,分别建立了4种滚齿方法的实用联动模型,完成最佳滚齿模型的遴选,提供了2种对角滚方案的应用方法。4)研究多策略的外啮合和内啮合椭圆族封闭齿轮插齿技术。基于插齿基本联动模型,开发出具备插制斜齿功能的实用联动模型,进行实用联动模型性能分析及方案遴选,获得最佳联动模型,构成了完整的非圆齿轮插削加工理论。
[Abstract]:Non-circular gear combines the advantages of circular gear and cam mechanism, can accurately transfer large power with variable transmission ratio, and can also be used to realize the movement of accurate non-circular trajectory. Because of the variety of kinds and different shapes, the design and calculation of transmission pair is complicated. In particular, the angular velocity and acceleration of the linkage shaft in rolling and inserting machining are very time-varying, difficult to process and difficult to guarantee. In order to give full play to the unique advantages of non-circular gear transmission and to meet the practical needs of a large number of manufacturing, It is of great value to unify the theory of non-circular gears and to study the high-precision and high-efficiency manufacturing technology. The elliptic family closed gears are characterized by high-order multi-segment denatured elliptic gears, and the conjugate pair transmission mechanism of high-order multi-segment denatured elliptic gears is explored. Its transmission characteristics are analyzed to achieve the goal of standardized design, which is widely adopted and applied by peers. In this paper, the linkage scheme and mathematical model of non-circular gear hobbing and cutting are optimized and selected, the complete manufacturing theory is constructed, and the method of non-circular gear diagonal hobbing and the manufacturing theory of non-circular helical gear are studied emphatically. The aim of high precision, high efficiency and low cost machining of non-circular (helical) gear is realized. Based on the analysis and summary of the non-uniform specific transmission design method and the manufacturing technology of non-circular gear, the theoretical analysis is adopted in this paper. The design method and characteristics of high order multisegment denatured elliptic gear and the hobbing of free pitch curve non-circular gear including high order multisegment denatured elliptic gear are combined with numerical simulation and experiment. The main research work and results are summarized as follows: 1) the theory of elliptic family closed gear transmission is studied. According to the requirement of maximum and minimum transmission ratio in application, the high order elliptical gear is proposed. The practical design method of two-stage denatured elliptic gear and high-order two-stage denatured elliptical gear transmission, especially the theory of elliptic family helical gear and elliptic family internal meshing gear transmission is studied. This paper presents a unified mathematical expression for the elliptical family of closed gears with high order multisegment denatured elliptic gears. The design method and performance characteristic of meshing pair are studied. (2) the CAD system and virtual machining method of high order multisegment denatured elliptic gear are studied. Based on Matlab and VBA mixed programming, a high order multisegment modified elliptic gear CAD system with complete function is developed. The virtual machining technology of high-order multi-segment denatured elliptic gear hobbing and gear shafting is also studied. (3) the multi-strategy elliptic family closed gear hobbing technology is studied, including non-diagonal roll four-axis linkage, non-diagonal roll five-axis linkage, diagonal roll five-axis linkage, and diagonal roll five-axis linkage. The practical linkage models of four kinds of gear hobbing methods are established to select the best gear hobbing model. In this paper, two diagonal rolling schemes are provided. 4) the multi-strategy external meshing and internal meshing elliptic family closed gear shafting technology is studied. Based on the basic linkage model of gear shaper, a practical linkage model with the function of slotting is developed. The performance analysis and scheme selection of practical linkage model are carried out, and the optimal linkage model is obtained, which constitutes the complete theory of non-circular gear cutting.
【学位授予单位】：合肥工业大学
【学位级别】：博士
【学位授予年份】：2015
【分类号】：TH132.41

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