中文摘要：

在原有的ZOA方法的基础上，通过把每个薄层单元近似模拟成变齿距铣刀，从而将变螺旋导致的时变再生颤振转化为多时滞再生颤振，建立了变螺旋铣刀铣削稳定性解析预测模型．通过与前人的相关研究作比较可知，不论是常规铣刀还是变螺旋铣刀，所提出的计算方法与原有的计算方法所获得的预测结果的吻合度近似为100％．而采用两种方法进行仿真时，采用原有的方法计算过程所用时间超过928，而本文方法计算时间小于20s．结果表明：在所给的条件下，所提出的理论模型比原有的方法更节约计算时间，可为实际加工中合理选择加工参数和颤振预测提供参考．

英文摘要：

A way of tool axial dispersion was presented, and then each discrete unit of the variable helix cutter was approximately simulated to be variable pitch cutter. Thus variable delay differential equations were transferred to multi-delay differential equation. And the stability prediction model of variable helix milling was built based on the original ZOA method. Through comparisons with prior works, the prediction results are in good agreement about 100% whether normal or variable helix cutter. Two methods were used to simulate. The calculation time of the original method is more than 92 s, but for the proposed method is below 20 s. The results show the proposed method can save computational time comparing with the original method. And the results could provide reference for the selection of reasonable processing. processing parameters and chatter prediction in actual