中文摘要：

研究了弧线齿面齿轮的齿面展成原理，给出了内半径、外半径的求解方法，以及弧线齿面齿轮在普通多轴联动数控机床上的加工实现。基于假想齿轮的概念，推导弧线齿面齿轮的齿面方程；依据面齿轮内径处根切，外径处齿顶变尖条件，确定弧线齿面齿轮的齿宽界限值；以坐标变换为工具，建立了弧线齿面齿轮在数控机床上的加工方法，确定了各运动轴的多项式表达式，以方便数控编程。通过算例，分析产形齿轮齿数、刀盘半径、刀倾角等加工参数对弧线齿面齿轮齿宽的影响；根据运动轴多项式，建立面齿轮的三维实体模型，验证在数控机床加工的可行性。

英文摘要：

The generating of face gear with arcuate tooth was studied in this paper, The value of inner radius and outer radius of face gear, and its manufacture on NC machine were investigated. Tooth surface equation was derived based on the concept of imaginary gear. According to the conditions of undercutting in the dedendum area of inner radius and the pointing of the tooth in the addendum area in outer radius, tooth width limiting value was deter- mined. The machining principle in the general multi-axle numerical control machine tool was created by using coor- dinate transformation. Then the polynomial expression of motion axes was obtained. An example was employed to analyze the tooth width with different design parameters such as the number of imaginary tooth, cutter head radius, initial tilted angle, etc. Tooth surface model was established, and the result proves the manufacture is feasible.