The closed-loop performance of a lead-screw drive is usually limited by a resonance in which the carriage oscillates in the direction of motion as the screw undergoes longitudinal and torsional deformation. In this paper, we develop a model of lead-screw system dynamics that accounts for the distributed inertia of the screw and the compliance and damping of the thrust bearings, nut, and coupling. The distributed-parameter model of the lead-screw drive system is reduced to a low-order model using a Galerkin procedure and verified by experiments performed on a pair of ball-screw systems. The model is found to accurately predict the presence of a finite right-half plane zero in the transfer function from motor torque to carriage position. A viscoelastic damper incorporated into one of the lead-screw support bearings is shown to give rise to significant, deterministic damping in the system transfer functions.
The Dynamics of Lead-Screw Drives: Low-Order Modeling and Experiments
Contributed by the Dynamic Systems, Measurement, and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division January 3, 2003; final revision, September 22, 2003. Associate Editor: C. D. Rahn.
Varanasi , K. K., and Nayfeh, S. A. (August 5, 2004). "The Dynamics of Lead-Screw Drives: Low-Order Modeling and Experiments ." ASME. J. Dyn. Sys., Meas., Control. June 2004; 126(2): 388–396. https://doi.org/10.1115/1.1771690
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