中文摘要：

为解决数字化齿面加工问题，基于数字化曲面的共轭原理和齿轮啮合原理，提出二维数字化齿面插削展成加工方法。通过建立离散表达的数字化齿面与解析表达的标准刀具面之间的插削加工数学模型，研究数字化齿面与标准刀具面在加工过程中的几何关系与相对运动，求得刀具截形上与数字化齿面每个离散点相对应的共轭点及其相互接触时的对应共轭运动，并将所求离散展成运动参数自动排序，插值形成连续共轭运动，实现对数字化齿面的连续插削加工。对给定二维数字化渐开线齿面和非标准数字化修形齿面进行展成插削加工试验，成功插削出合乎要求的真实齿面，验证了所提出方法的正确性。

英文摘要：

In order to machine the digital gear tooth surfaces （DGTS）, a slotting method for two-dimensional DGTS, based on the conjugate theories of digital surface and gear meshing, is developed. The slotting model between the DGTS represented by discrete points and the cutter figuration determined by analytic function is built for their geometrical relationship and conjugate motion in the machining process. Conjugate points in the cutter section corresponding to the discrete points on the digital surface and the conjugate movements are solved. Automated sequences arrangements of the generating movement parameters have been performed and the discrete movements are interpolated in a continuous generation motion under the order, which can result in realization of continuous slotting of DGTS. Experiments of the slotting of involute DGTS and non-standard shaped DGTS are accomplished and the real surfaces meet the requirements of product. The experimental results verify the developed slotting method.