Modeling of geometric errors of linear guideway and their influence on joint kinematic error in machine tools

This paper presents the problems of the geometric accuracy of machine tools. The analytical and experimental examinations were carried out for a table in which guideway geometric errors may result in significant deformations. The main aim was to propose a method of analytical examination of the influence of geometric errors in linear guideway on joint kinematic errors. The proposed method served to isolate and simulate geometric errors, one of the causes of volumetric errors in machine tools. This approach helped to understand and interpret the results of experimental examinations of angular kinematic errors (pitch, yaw, roll) obtained for a real machine tool. The results helped to verify the hypothesis that the deformation of a table may be a significant source of errors in volumetric error models. One of the final conclusions indicated that off-line compensation of some characteristics of angular kinematic errors in machine tools may be unjustified.

► A new approach of modeling geometric errors of linear guideways for machine tool is presented.
► Geometric errors of guideways may cause significant deformations of machine tools cross-tables.
► Development in methodology of volumetric error determination in the case of elastic structures is still an open question.