基于改进欧拉法的铣削稳定性半解析法预测

针对基于再生颤振理论构建的铣削动力学模型,提出一种基于改进欧拉法用于预测铣削稳定性的半解析方法。该方法首先利用改进欧拉法推导出传递矩阵,然后利用Floquet理论判断特定切削状态的稳定性,进而通过改变主轴转速和轴向切削深度获得铣削稳定性叶瓣图。与半离散法仿真结果对比分析发现,在保证预测精度的前提下,基于改进欧拉法的铣削稳定性求解方法计算效率更高。

Semi-Analytical Method for Milling Process Stability Prediction Based on Improved Euler Method

For the milling process dynamic model set up on regenerative chatter theory, a new semi-analytical method for milling process stability prediction based on the improved Euler method was proposed. At first the state transition matrix was deduced by the improved Euler method, then the stability of milling process under specific cutting condition was determined with the Floquet theory, further more the stability lobe diagram (SLD) of milling process was obtained by changing spindle speed and axial cutting depth. Comparing with semi-discrete simulation results, found that the proposed semi-analytical method based on the improved Euler method has higher computation efficiency under ensuring prediction accuracy.