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.
Highlights
With continuous development of science and technology, high machining precision mechanical products are more required [1, 2]
After the compensation data are derived on the execution end of the machine tools, a volumetric error compensation module is developed on our Huazhong 8 CNC system platform based on the tooling volumetric error model and measured data characteristics
Our findings show that the precision index of 4-body diagonal precision of a CNC machine tool can be controlled within 20 μm at the same time while its precision is very high
Summary
With continuous development of science and technology, high machining precision mechanical products are more required [1, 2]. Measurement of tooling errors dominates improvement of the tooling precision and determines effects of error compensation. The International Journal of Advanced Manufacturing Technology for tooling errors greatly promoted improvement of tooling error compensation techniques. The Abbé error due to the Abbé deviation will seriously restrict improvement of compensation effects of the CNC tools. Based on analysis of the Abbé principle, a machine tool volumetric error model where the Abbé error has been taken into account was put forward here. Based on comparison of the errors solved by the traditional measurement methods coupled with consideration of the Abbé error, an effect of the Abbé error on the linear error is analyzed, and an error compensation module is specially developed. An example is utilized to verify compensation effects of the traditional error model and our volumetric error model where the Abbé error was considered. The analysis and comparison are performed by means of quantitative and qualitative evaluation of diagonal line Matlab simulations
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