Modeling method of CNC tooling volumetric error under consideration of Abbé error

Abstract

The Abbé error is a key factor for high-precision CNC machine tools. Unluckily, it is not taken into account in traditional machine tool volumetric error models. In this respect, based on the traditional machine tool volumetric error models, a new machine tool volumetric error model containing Abbé error is performed by analyzing the mechanism of Abbé error formation tool volumetric and based on 21-item geometric error measurement data, Abbé arm, and angle functional relationship. Moreover, integrated qualitative and quantitative simulation method for evaluation of machine tool space precision are correspondingly presented. Finally, an example was utilized to further verify the value of our model by means of analysis and comparison of the tooling precision prior to and after performance of compensation, and its validity and feasibility were proved. This study provides an important modeling method for high-precision machine tools and has very important theoretical significance and practical value.

A ball screw all-round error compensation technology based on novel hybrid deep learning for CNC machine tool

“…Li et al [15] developed a thermal error modeling and compensation technique for heavy gantry machine tools, demonstrating marked effectiveness, with the mean error diminishing from 101 microns to 13.5 microns. Chen Guo-Hua et al [16] constructed a volumetric error model for machine tools grounded in Abbe error theory, incorporating it into the system to realize error compensation, which they confirmed by contrasting tool accuracy pre-and post-compensation.…”

A data-driven high-precision modeling method of machine tool spatial error under the influence of Abbe error

“…In order to solve the problems mentioned above, it is necessary to apply the knowledge of precision measurement to the measurement of machine tool geometric errors. In the past decades, Abbe principle [18] and Bryan principle [19] have attracted extensive attention in precision machine design, and have been successfully applied in machine tool error measurement [20][21][22] . The two principles shows that if the measurement axis is not parallel to the reference axis and there is an angle between the two axes, the Abbe error caused must be corrected by multiplying the angle error by the offset between the measurement point and the tool point.…”