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本文介绍了在直齿内齿轮插齿刀设计中应该避免的四种情况:过渡曲线干涉,顶切、刀具齿顶变尖和负啮合角现象。根据对内齿插齿刀计算公式的分析,发现这些公式都可写成插齿刀变位系数的函数方程式。当选用较大的变位系数时可以增加插齿刀的刃磨次数,延长插齿刀的寿命,但考虑上述四种情况,变位系数不能过大。在设计插齿刀时,应在限制条件允许下,尽可能选用最大的变位系数。由变位系数的函数方程式用数值解法可求出最大变位系数的十分精确的近似值。这些值也可在电子计算机上用数值解法求得。为了提高计算精度、减少计算工作量、节省设计时间,用FORTRAN语言编制了内齿插齿刀设计程序。目前北京齿轮厂新产品J22变速箱一、二档齿套用内齿插齿刀就是采用该程序计算出来的。
This article describes four situations that should be avoided in the design of spur gear internal gear shaper cutter: transition curve interference, top cut, tool tip crest and negative engagement angle phenomenon. Based on the analysis of the internal gear shaper cutter formula, we find that these formulas can be written as a function equation of the shaper cutter displacement coefficient. Elected larger displacement coefficient can increase shaper sharpening sharpening times to extend the shaper cutter life, but considering the above four cases, the displacement coefficient can not be too large. When designing gear shaper, the maximum displacement coefficient should be selected as much as possible under the limit conditions. From the function equation of the coefficient of variation, a very accurate approximation of the maximum displacement coefficient can be obtained by numerical solution. These values can also be calculated numerically on a computer. In order to improve the calculation accuracy, reduce the computational workload and save the design time, the internal gear shaper design program was compiled with FORTRAN language. At present, Beijing Gear Factory new products J22 gearbox one, two sets of gear sets with internal gear shaper cutter is calculated using the program.