非圆齿轮离散节曲线的分段三次样条拟合研究

根据非圆齿轮节曲线的特点和计算方法 ,提出了一种只需要非圆齿轮节曲线上的离散点 ,就可以用具有统一表达式的分段三次样条曲线代替表达式形式各异的非圆齿轮节曲线。利用拟合后的非圆齿轮节曲线 ,就可以使得所有非圆齿轮加工数据的计算有了通用的计算模块。最后用椭圆齿轮节曲线弧长计算过程 ,说明了该方法不仅精度非常高 ,而且计算方法简单和通用。

Research on Subsection Cubic Spline Fit of Non-circle Gear Discrete Pitch Line

According to the characteristic of non-circle gear pitch line and method of calculation, all kind of non-circle gear pitch can be express by the uniform formula using subsection cubic spline, only the discrete points in the pitch of non-circle gear are needed. Using the curve fitted pitch, the universal calculation module of manufacture data of non-circle gear for all kind of non-circle gear can be got more easily. The process of calculation pitch length of an ellipse non-circle gear was given as an example to prove that this method is simple, accurate and practicable for computing CAM data of non-circle gear.