The Lateral Vibration Analysis of the Machine Drive Screw
The drive screw is simplified as a rotating Tinoshenko beam under the pre-tension force. Using boundary conditions and continuity conditions, the frequency equation of the screw with the elastic supports is derived considering the effect of gyroscope, the pre-tension force, the bearing stiffness, and the contact between the worktable and the screw. The effect of the system parameters on the lateral natural frequency is studied to supply a base for designing the drive system.
Bo Zhao, Yidu Zhang, Guanglin Wang, Hai Zhang, Jianbin Zhang and Feng Jiao
H. D. Zhang "The Lateral Vibration Analysis of the Machine Drive Screw", Applied Mechanics and Materials, Vol. 42, pp. 375-379, 2011