mode coupling flutter;  phase difference;  Machining

In the process of machining, the plane vibration-elliptical motion between the tool and the workpiece is discussed, which can be decomposed into any two harmonic vibrations in the perpendicular direction of each other, and the phase difference between these two harmonic vibrations is derived as the diagnostic parameters of mode coupling cutting flutter. At the same time, taking turning and boring as examples, the machining curve equation when mode shape coupled flutter occurs in the machining process system is established, and the influence of flutter on the geometry of machining surface is analyzed.