通过数学推导，证明了该刀具在切削工况下符合齿轮啮合原理，可切制出满足设计要求的齿轮。

With the mathematic derivation it is proved that the cutter meets the specification of the gear meshing under the cutting condition and can correctly shape gears that can meet the design requirement.

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常见的共轭曲面包括齿轮的齿面、空间凸轮的工作面和螺旋面等，其中螺旋面被广泛应用于螺纹、蜗杆、螺杆泵及金属切削刀具等领域。

The common conjugate surface includes tooth surface of gear, working surface of solid CAM, helicoidal surfaces existing in spiral burr, worm, chip flute of cutters, and so on.

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针对一种目前国内研究较少的回转切削机床，分析了对渐开线齿轮进行倒角加工时的运动情况，得出了该机床在进行倒角加工时刀具切削刃的轨迹方程。

Aimed at a kind of rotary cutting machine, the machining process of involute gear chamfering is kinematically analyzed, and the moving locus equations of cutting edge are deduced.

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