The piecewise cubic Hermite interpolation and cubic spline interpolation were introduced into the analysis of a free beam traversed by a single degree of freedom spring-mass system.

• 在分析目前常用的非圆齿轮滚齿插补方法不足的基础上,采用三次样条来拟合非圆齿轮的节曲线,进而提出了数控滚齿的一种插补方法。