Research On The Nonlinear Dynamics Analysis Of Regenerative Tool Chatter

In metal-cutting process, machine tools, cutting tools and workpiece constitute a complicated dynamic system. Under certain conditions, the chatter will occur. The chatter will cause huge damage. Recently the study on metal-cutting systems is increasingly concerned.In this paper the metal-cutting model is studied. The main jobs are as follow:1. The orthogonal metal cutting model is analyzed. The regenerative effect of metal cutting is the main reason of chatter. Based on phase difference of vibration wave the metal cutting model is simlified. The critical chatter frequencys are found by numerical method.2. Applying the eigenvalue theory of DDE, the system stability of equilibrium is analyzed and the equation for calculating critical delay is obtained when the stability of the equilibrium changes. The stability boundary is drawn by numerical method. In the process of crossing the border, hopf bifurcation occurs.3. Used multiscale method, the ralation between frequency and amplitude are obtained. System's parameters influence amplitude-frequency curves. There coexist multiple periodic solutions.4. Based on bifurcation theory, the global bifurcation diagram is obtained used numerical integration method. In addition, the special route to chaos is illustrated.