Hybrid dynamic modeling of a high-speed ball-screw drive system

The longitudinal and torsional vibration of a lead-screw usually limits the closed-loop performance of a high-speed ball-screw drive system. It is difficult to accurately characterize the high frequency dynamics of the ball-screw drive system via a traditional lumped modeling method. This paper proposes a hybrid parameter modeling method. The model contains a distributed parameter model of the lead-screw with the boundary conditions of the thrust bearings and coupling, and a two-inertia lumped one of the motor and workbench. The distributed model is integrated into the lumped one to construct a hybrid one. The hybrid model is verified by simulation and experiment. Compared with the lumped model, the hybrid one accurately characterizes both the workbench and lead-screw resonance of the ball-screw drive system.