Time-dependent nonlinear dynamic model for linear guideway with crowning

Walking parallelism accuracy of linear guideway is essential for high-precision transport system and sophisticated X-Y table. A design of crowning in a carriage has been demonstrated the availability for reducing the inevitable ball passage vibration and kinematic error of linear guideway with roller. However, few dynamic models of linear guideway with crowning at the transient phase of balls' motion are established. Presented is a comprehensive model for investigating the vertical vibration performance of linear guideway. Experiment is conducted to identify dynamic parameters and verify the proposed model. Ball passage vibration is significantly influenced by ball groupings, preload and slider length.