Geometric- and force-induced errors compensation and uncertainty analysis of rotary axis in 5-axis ultra-precision machine tool

In machining of a microstructure on a free form surface, a five-axis ultra-precision machine tool has a great advantage in its flexibility and efficiency compared to a conventional machine tool. However, rotary axes in the five-axis machine tool are sensitive to position errors due to low rigidity. In addition, micro-tools, which are utilized in micro-machining, have low stiffness. The low rigidity and stiffness of the rotary axes and tool introduce geometric errors in machining. Therefore, the position and orientation errors of the rotary axes and the micro-tool must be identified and compensated. Many components contribute to uncertainty of the measurements which will inevitably reduce the reliability of the results. Therefore, it is necessary to analyze the uncertainty of each component. This paper proposed a method to comprehensively identify position-independent geometric errors (PIGEs) and force-induced errors (FIEs) of a system from the rotary axis on the machine to the micro-tool. A simple and practical error model to represent the tool position with respect to the angle of the rotary axis was built. Uncertainty was analyzed to validate the reliability of the proposed method. Cutting experiments were carried out on an AISI 1018 steel and an Al6061 workpiece, and the results were analyzed to verify the proposed model.

[1]  L. N. López de Lacalle,et al.  Effects of tool deflection in the high-speed milling of inclined surfaces , 2004 .

[2]  Nuodi Huang,et al.  Identification of two different geometric error definitions for the rotary axis of the 5-axis machine tools , 2015 .

[3]  Gaiyun He,et al.  Tool deflection error compensation in five-axis ball-end milling of sculptured surface , 2015 .

[4]  Chana Raksiri,et al.  Geometric and force errors compensation in a 3-axis CNC milling machine , 2004 .

[5]  J.R.R. Mayer,et al.  Validation of volumetric error compensation for a five-axis machine using surface mismatch producing tests and on-machine touch probing , 2014 .

[6]  Erik L.J. Bohez,et al.  Five-axis milling machine tool kinematic chain design and analysis , 2002 .

[7]  Steven Y. Liang,et al.  Off-line error compensation in corner milling process , 2018 .

[8]  Yang Jianguo,et al.  Progressive development of an absolute sensorless compensation system for cutting force-induced error , 2008 .

[9]  Song Zhang,et al.  Empirical models and optimal cutting parameters for cutting forces and surface roughness in hard milling of AISI H13 steel , 2010 .

[10]  Edward Angel,et al.  Interactive Computer Graphics: A Top-Down Approach with Shader-Based OpenGL , 2011 .

[11]  Peihua Gu,et al.  A geometric error budget method to improve machining accuracy reliability of multi-axis machine tools , 2019, J. Intell. Manuf..

[12]  Steven Y. Liang,et al.  Peripheral milling force induced error compensation using analytical force model and APDL deformation calculation , 2017 .

[13]  Seung-Han Yang,et al.  Robust measurement method and uncertainty analysis for position-independent geometric errors of a rotary axis using a double ball-bar , 2013 .

[14]  Ibrahim Kucukkoc,et al.  A mathematical model and artificial bee colony algorithm for the lexicographic bottleneck mixed-model assembly line balancing problem , 2019, J. Intell. Manuf..

[15]  Gaiyun He,et al.  An improved feedrate scheduling method for NURBS interpolation in five-axis machining , 2020 .

[16]  Soichi Ibaraki,et al.  R-Test Analysis Software for Error Calibration of Five-Axis Machine Tools - Application to a Five-Axis Machine Tool with Two Rotary Axes on the Tool Side - , 2015, Int. J. Autom. Technol..

[17]  Aitzol Lamikiz,et al.  Machine Tools for High Performance Machining , 2009 .

[18]  Kaiguo Fan,et al.  Orthogonal polynomials-based thermally induced spindle and geometric error modeling and compensation , 2013 .

[19]  Aitzol Lamikiz,et al.  Error budget and stiffness chain assessment in a micromilling machine equipped with tools less than 0.3 mm in diameter , 2007 .

[20]  Behrooz Arezoo,et al.  Accuracy analysis of tool deflection error modelling in prediction of milled surfaces by a virtual machining system , 2017, Int. J. Comput. Appl. Technol..

[21]  Dawei Zhang,et al.  A new top-down design method for the stiffness of precision machine tools , 2016 .

[22]  Aun-Neow Poo,et al.  Error compensation in machine tools — a review: Part I: geometric, cutting-force induced and fixture-dependent errors , 2000 .

[23]  Yusuf Altintas,et al.  Modeling and compensation of volumetric errors for five-axis machine tools , 2016 .

[24]  E.J.A. Armarego,et al.  Computerized End-Milling Force Predictions with Cutting Models Allowing for Eccentricity and Cutter Deflections , 1991 .

[25]  Sangkee Min,et al.  Simultaneous geometric error identification of rotary axis and tool setting in an ultra-precision 5-axis machine tool using on-machine measurement , 2020 .

[26]  Robert J. Cripps,et al.  A method of testing position independent geometric errors in rotary axes of a five-axis machine tool using a double ball bar , 2015 .

[27]  Shuang Ding,et al.  Identification of different geometric error models and definitions for the rotary axis of five-axis machine tools , 2016 .

[28]  Aitzol Lamikiz,et al.  Evaluation of the stiffness chain on the deflection of end-mills under cutting forces , 2005 .

[29]  Masaomi Tsutsumi,et al.  Enhancement of geometric accuracy of five-axis machining centers based on identification and compensation of geometric deviations , 2013 .

[30]  Hao Li,et al.  Comprehensive error measurement and compensation method for equivalent cutting forces , 2016 .

[31]  Jixiang Yang,et al.  A position independent geometric errors identification and correction method for five-axis serial machines based on screw theory , 2015 .

[32]  Aitzol Lamikiz,et al.  Toolpath selection based on the minimum deflection cutting forces in the programming of complex surfaces milling , 2007 .

[33]  Nuodi Huang,et al.  Identification and compensation of geometric errors of rotary axes on five-axis machine by on-machine measurement , 2015 .

[34]  Suk-Hwan Suh,et al.  Incorporation of tool deflection in tool path computation: Simulation and analysis , 1996 .

[35]  Seung-Han Yang,et al.  Measurement and verification of position-independent geometric errors of a five-axis machine tool using a double ball-bar , 2013 .

[36]  Svetan Ratchev,et al.  Error compensation strategy in milling flexible thin-wall parts , 2005 .

[37]  Soichi Ibaraki,et al.  Calibration of location errors of rotary axes on five-axis machine tools by on-the-machine measurement using a touch-trigger probe , 2012 .