Pascal蜗线型齿轮是一种新型的变传动比齿轮，具有独特的运动学和动力学特性。本项目根据齿轮啮合原理，建立Pascal蜗线型齿轮及其共轭齿廓的几何模型，研究满足不同传动函数要求的共轭齿廓几何特征和运动特性；基于共轭曲面原理和离散化设计方法，提出Pascal蜗线型齿轮的数字化齿面展成加工的运动学模型，分析不同参数齿面的连续展成共轭运动求解方法；应用计算机图形技术，开发Pascal蜗线型齿轮数控加工仿真与编程系统，并模拟实际工况对加工干涉及其规避方法进行分析；通过数字化齿面展成加工实验，验证设计理论，提出Pascal蜗线型齿轮的形位误差综合测量及精度评定方法。通过以上研究，揭示Pascal蜗线型齿轮及其共轭齿廓的运动规律，探索该齿轮数字化齿面展成加工的新理论与误差测量方法。本项目将突破传统的基于几何解析的变传动比齿轮设计方法，为这种新型齿轮的精密加工及应用提供技术基础。

Pascal curve gears have unique kinematics and dynamics characteristics, which as a new type gears with non-uniform transmission ratio. According to the gear meshing theory, this project is to establish the mathematical model of Pascal curve gears and its conjugated tooth profile, the geometric features and motion characteristics of the conjugated tooth profile which can meet different transmission requirements will be studied. Based on the conjugate surfaces theory and discretization design method, the generation motion mathematical model of digital tooth surfaces for Pascal curve gears will be established, the solving method and algorithm of conjugate generating movement on different tooth profile parameters will be analysed. NC machining simulation and automatic programming system for Pascal curve gears will be developed by means of computer graphics technology, and some problems about the tool-path generation, machining interference and avoidance method will be analyzed on the basis of actual working conditions. The above design theory will be verified through the machining experiment of digital tooth profile, the comprehensive geometric errors measurement and precision evaluation method for Pascal curve gears will be proposed. Through the above research, the transmission characteristics of Pascal curve gears and its conjugated tooth profile can be revealed, the new generating theory of digital gear tooth surface and error measuring method can be obtained. This project will break through the traditional design method based on analytic geometry for variable transmission ratio gears, which can provide the theoretical foundation for precision machining and application of Pascal curve gears.