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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 436717, 6 pages
Research Article

Thermal Error Modeling Method for a CNC Machine Tool Feed Drive System

1College of Mechanical Engineering, Jilin University, Changchun 130025, China
2State Key Laboratory, Shenyang Machine Tool (Group) Co., Ltd., Shenyang 110142, China

Received 17 July 2015; Revised 18 September 2015; Accepted 20 September 2015

Academic Editor: Ricardo Aguilar-López

Copyright © 2015 Kuo Liu 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 disadvantages of the common current thermal error modeling methods for CNC machine tool feed drive systems were analyzed, such as the requirement of many temperature sensors to reach high accuracy and poor applicability of different moving states. A new robust modeling method based on the heat transfer theory is proposed, and the procedure of the thermal tests for a feed drive system is presented. Multiple regression method and robust modeling method based on the heat transfer theory were, respectively, used to establish a thermal error model, and a pointer automatic optimizer was used to optimize the parameters in the robust model. A compensation simulation was conducted under five different moving states using these two modeling methods, and the advantages of the robust modeling method were proved. Finally, the compensation effect of the robust modeling method was verified under a random moving state on a vertical machining center.