用广义傅里叶级数法分析棒铣刀颤振问题

A New Approach to the Analysis of Chatter in the Milling Cutter Based on the Generalized Fourier Series

采用广义傅里叶级数法分析棒铣刀的颤振问题。在考虑了主轴陀螺效应的基础上 ,着重分析了切向铣削力参数和径向铣削力参数对铣削系统稳定性的影响 ,比较了广义傅里叶级数法与基于奈奎斯特稳定性判据的非线性优化法的结果。为了验证广义傅里叶级数法的有效性和准确性 ,对模型进行了时域仿真。分析结果表明 ,在考虑了铣刀刀轴陀螺效应之后 ,影响颤振的因素虽然很多 ,但铣削力参数 (包括切向参数和径向参数 )是主要的 。

A new approach, the Generalized Fourier Series method (GFS), to the analysis of chatter in the milling cutter is proposed with consideration of the gyroscopic effect of the rotating spindle. According to the comparison between the GFS and the FSN, which is a non-linear optimization procedure based on the Nyquist stability criterion, the focus of the analysis is put onto the instability effects caused by the milling force level and the radial cutting constants. In order to verify the effectiveness and correctness of GFS, the time-domain simulation is conducted at different rotating speeds. It is shown by the results that although there are many factors which do impact upon the milling chatter, the milling force coefficient is as the main reason. Not only the size but also the position is dominated by the milling force coefficient.