Analytical Investigation of Chatter and Its Effective Parameters in Milling, Using Modal Experiment

Chatter is modeled in milling using the planar vibratory equations of the tool. To solve these equations, dynamic parameters of the tool, e.g. natural frequency, damping ratio and stiffness must be known. To obtain these parameters modal experiment is carried out and the results are analyzed. The results show that, increasing the cutting speed, the system changes its behavior from stable to unstable and vice versa frequently, which is shown in a diagram known as stability lobes. The increase in stiffness of the tool and reduction in radial engagement of the tool and the workpiece, increase the stability of the process.