Estimation of Dynamic Mechanical Error for Evaluation of Machine Tool Structures
Daisuke Kono*, Sascha Weikert**, Atsushi Matsubara*,
and Kazuo Yamazaki***
*Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan
**ETH Zurich, Tannenstrasse 3, 8092 Zurich, Switzerland
***University of California, One Shields Avenue, Davis CA95616, USA
Dynamic motion errors of machine tools consist of errors in the mechanical system and the servo system. In this study, a simple method to estimate the dynamic mechanical error is proposed to evaluate machine tool structures. The dynamic mechanical error in the low frequency range is estimated from the static deformation due to the driving force, the counter force, and the inertial force. The error in a high-precision machine tool is estimated for comparison with measurements. Two calculation tools, finite element analysis and rigid multi-body simulation, are used for the estimation. Measured dynamic mechanical errors can be correctly estimated by the proposed method using finite element analysis. The tilt of driven bodies is the major reason for dynamic mechanical errors. When the reduction factor representing the structural deformation is properly determined, the rigid multi-body simulation is also an effective tool. Use of the proposed method for modification planning is demonstrated. Stiffness enhancement of the saddle was an effective modification candidate to reduce the dynamic mechanical error. If the error should be reduced to sub-micrometer level, the location of components should be modified because the Abbe offset and the offset of the driving force from the inertial force must be shortened.
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