Nonlinear Vibration Characteristics Analysis of CNC Machine Tool Feed System

Considering the nonlinear characteristic of ball screw, a Duffing equation with damping is used to model the nonlinear dynamics of feed system by employing the elastic displacement method. Then by using the tools of phase trajectory map, Poincare section and bifurcation diagram respectively, structure of the proposed model is identified, meanwhile, the properties of bifurcation and chaos are judged. Numerical results show that as the feed system works, the screw nonlinear vibrates. Therefore, the dynamics response of the system cannot be described by a linear dynamics model. In other words, a nonlinear dynamics model must be employed to analyze the dynamic properties of the system. The proposed model has an advantage over the model characterized by a linear dynamics with multiple degrees since the latter is only applied to the system with high stiffness. In addition, the dynamics properties of the feed system are revealed as the stiffness is low or the support at both ends in varied. A test in a NC machine tool verified the validity of the analytic results.