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The Scientific World Journal
Volume 2014 (2014), Article ID 959510, 16 pages
Research Article

Volumetric Verification of Multiaxis Machine Tool Using Laser Tracker

Department of Design and Manufacturing Engineering, University of Zaragoza, Marìa de Luna 3, 50018 Zaragoza, Spain

Received 8 January 2014; Accepted 19 March 2014; Published 19 June 2014

Academic Editor: Raffaele Di Gregorio

Copyright © 2014 Sergio Aguado 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.


This paper aims to present a method of volumetric verification in machine tools with linear and rotary axes using a laser tracker. Beyond a method for a particular machine, it presents a methodology that can be used in any machine type. Along this paper, the schema and kinematic model of a machine with three axes of movement, two linear and one rotational axes, including the measurement system and the nominal rotation matrix of the rotational axis are presented. Using this, the machine tool volumetric error is obtained and nonlinear optimization techniques are employed to improve the accuracy of the machine tool. The verification provides a mathematical, not physical, compensation, in less time than other methods of verification by means of the indirect measurement of geometric errors of the machine from the linear and rotary axes. This paper presents an extensive study about the appropriateness and drawbacks of the regression function employed depending on the types of movement of the axes of any machine. In the same way, strengths and weaknesses of measurement methods and optimization techniques depending on the space available to place the measurement system are presented. These studies provide the most appropriate strategies to verify each machine tool taking into consideration its configuration and its available work space.