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