点接触曲线构型内啮合齿轮传动接触特性分析

内啮合齿轮传动具有结构紧凑、体积小、承载能力高等特点，在行星齿轮传动机构中获得广泛应用。为进一步提高内啮合齿轮副传动性能，在齿轮共轭曲线理论的研究基础上，本文提出一种点接触曲线构型内啮合齿轮传动形式，建立点接触曲线构型内啮合齿轮传动基本数学模型，通过空间共轭曲线副实现较灵活的齿面设计，满足高性能使用需求。分析点接触曲线构型内啮合齿轮副接触特性，建立齿面运动分析模型，探讨连续旋转运动下齿面实际啮合特征；提出适用于该内啮合齿轮副的齿面重合度分析计算方法，推导依据空间共轭曲线副评判成型齿面滑动率的一般计算公式，讨论不同参数影响下齿面滑动率变化规律；概述点接触曲线构型内啮合齿轮副齿面法曲率计算原则，提出齿面干涉分析依据等。相关研究为后续构建高性能齿轮传动副奠定理论基础和技术支撑，具有重要的理论意义和工程应用价值。

Meshing Characteristics Analysis of Point-Contact Internal Gear Drive with Curve Construction

Internal gear transmission is widely used in planetary gear transmission mechanism because of the advantages of compact structure, small volume and high load capacity. To further improve the transmission performance of internal gear pair, based on the conjugate-curve theory of gear geometry, a point-contact internal gear transmission with curve construction is proposed. The basic mathematical model of point-contact internal gear transmission with curve construction is established and more flexible design for tooth surface through spatial conjugate-curve pair can be realized to meet the high performance requirements. The contact characteristics of point-contact internal gear transmission with curve construction are analyzed. Motion analysis model of tooth surface is established, and the actual meshing law of generated tooth surface under continuous rotating motion is discussed. The calculation method of contact ratio of tooth surface is provided which is suitable for the internal gear pair. Furthermore, a general calculation formula for evaluating sliding ratios of the formed tooth surface is deduced according to the spatial conjugate-curve pair, and the influences of different design parameters on tooth surface sliding ratios are also discussed. Calculation principle of normal curvature of tooth surface is summarized and the interference analysis of tooth surface is put forward. The research results lay the theoretical foundation and technical support for the subsequent high-performance gear pair construction, which has important theoretical significance and engineering application value.