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Mathematical Problems in Engineering
Volume 2014, Article ID 745250, 8 pages
Research Article

Error Modeling and Sensitivity Analysis of a Five-Axis Machine Tool

1Key Laboratory of Mechanism Theory and Equipment Design of Ministry of Education, Tianjin University, Tianjin 300072, China
2Beijing Precision Machinery & Engineering Research Co., Ltd., Beijing 101312, China

Received 20 October 2013; Revised 27 February 2014; Accepted 27 February 2014; Published 29 May 2014

Academic Editor: Miguel A. F. Sanjuán

Copyright © 2014 Wenjie Tian 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.


Geometric error modeling and its sensitivity analysis are carried out in this paper, which is helpful for precision design of machine tools. Screw theory and rigid body kinematics are used to establish the error model of an RRTTT-type five-axis machine tool, which enables the source errors affecting the compensable and uncompensable pose accuracy of the machine tool to be explicitly separated, thereby providing designers and/or field engineers with an informative guideline for the accuracy improvement by suitable measures, that is, component tolerancing in design, manufacturing, and assembly processes, and error compensation. The sensitivity analysis method is proposed, and the sensitivities of compensable and uncompensable pose accuracies are analyzed. The analysis results will be used for the precision design of the machine tool.