Abstract: To analyze the vibration performance of the ball screw drive system, the finite element model (FEM) of the simplified system by Ansys/Workbench was given to acquire the vibration mode and shape. Based on the vibration shape calculated from FEM, a set of hybrid basis function was used to generate the new Ritz series for building the system motion equation of the axial and torsional vibration. The pitch of the ball screw was considered in the method. A mathematical model which was easy to design the controller was developed. Through the numerical simulation, the modal characteristics and shape of system under the circumstance of different worktable locations were given. The results reveal that the location of the worktable has a large influence on the axial mode and less effect on the torsional vibration. The experiment result shows that the proposed modeling method can accurately predict the vibration characteristics for the ball screw drive system.

Key words: ball screw drive, vibration, finite element analysis, hybrid basis function, modeling