Hybrid dynamic modeling and analysis of a ball-screw-drive spindle system

We propose a comprehensive modeling approach to investigate the rigid-flexible coupling vibration of a Ball-screw-drive spindle system (BSDSS). Taking into account the rigid-flexible coupling between the ball screw and rigid components, a hybrid dynamic model for the BSDSS is established. The ball screw shaft was modeled by a flexible beam with axial, torsional, and transverse deformations, and the Ritz series expansion was used to approximate the continuous deformations. The motion equations were obtained using the Lagrange method. The analytical solution was derived and verified. According to the proposed model, the dynamic behavior of the system for various operating conditions was simulated and discussed. The numerical simulation result is useful for the controller design or tuning and the stiffness matching design of ball screw drives.