关于点线啮合齿轮螺旋角选择的研究

Research on the Choice of Helix Angle of the Points-line Meshing Gear

点线啮合齿轮螺旋角β的选择,改变了渐开线齿轮为凑中心距或者从优化角度来选取β值的情况。这种选择往往在齿轮滚齿加工时,不能保证螺旋角β的精度,因而引起螺旋线偏差过大,接触时往往达不到全齿长的接触。文中采用的螺旋角β是在滚齿时,采用各种机床差动挂轮的计算公式计算出来的,精华为一个k值的计算公差。根据不同的k值得到不同的β值。选择该β值后就可以使得一对齿轮在不同的机床上滚齿时误差达到零或最小值,在一台机床上加工时,误差可以达到很小,甚至为零。实践证明其螺旋线偏差小,当齿轮孔平行度达到要求时,一对齿轮可以达到全齿长接触。

The points-line meshing gear is different from involute gear in choice of helix angle. The method of helix angle choosing of involute gears do not ensure hobbing precision. It cause large lead error. The calculation formula for differential change gear of different machine tool is used in choosing helix angle of the points-line meshing gear in this paper. We can get a helix angle in according to a'k'. After choosing a helix angle, we can ensure the least error when a pair of gears has hobbed on different machines or a machine.