Elastic deformation prediction method for ball screw feed system

Based on the actual layout of a ball screw feed system, an elastic deformation computation framework is proposed to account for the combined effects of system inertia and friction disturbances. Using an equivalent 2-DOF model of the feed system as a foundation, a hybrid friction disturbance model is developed by incorporating the Bouc-Wen hysteresis form function. This model effectively captures the coexistence of pre-sliding nonlinear hysteresis and sliding linear characteristics. The output characteristics and boundaries of friction disturbances at both the motor-screw interface and the nut-table interface are analyzed under varying motion parameters and trajectories. Subsequently, the relationship between the elastic deformation of the ball screw feed system and motion velocity, acceleration, and trajectory form is investigated by comparing theoretical predictions with experimental results. The findings validate the effectiveness of the proposed Bouc-Wen hybrid friction model in improving the prediction accuracy of elastic deformation in feed systems. These results offer a novel approach for the precise suppression of elastic deformation in high-speed precision machine tool ball screw feed systems.