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Mathematical Problems in Engineering
Volume 2016, Article ID 8208241, 10 pages
Research Article

Study of the Dynamic Characteristics of Ball Screw with a Load Disturbance

1Henan University of Science and Technology, Luoyang 471023, China
2Xi’an Jiaotong University, Xi’an 710049, China
3State Key Laboratory for Manufacturing Systems Engineering, Xi’an Jiaotong University, Xi’an 710049, China

Received 21 December 2015; Revised 6 May 2016; Accepted 22 May 2016

Academic Editor: Alessandro Gasparetto

Copyright © 2016 Zhe Du et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The dynamic character of ball screw is the key factor that influences the machining accuracy of numerical control (NC) machine tool. To improve the dynamic characteristics of the NC machine tool, it is necessary to study the dynamic characteristics of a ball screw. In this paper, the kinematics of a ball screw mechanism (BSM) are studied to expound the dynamic process of the drive, and the load disturbance is considered to analyze the contact deformation based on the Hertzian contact theory. The velocity relationships among the ball, screw, and nut are analyzed, and the influence of the contact deformation on the dynamic characteristics is simulated and investigated experimentally. The results show that the relationships between the contact deformation, which is affected by the material characteristics, the contact angle, and the load of nut are nonlinear. The contact deformation is a factor that cannot be ignored when considering the dynamic machining error of high-speed and high-precision machine tools.