Abstract
The spindle error and geometric error are the main sources of inaccuracy in CNC machining. With the rising of the machine tool parts' temperature, the spindle error and geometric error increase continually, and the error curves have a nonlinear distribution. To analyze the thermal effects on spindle error and geometric error, an experiment is carried out. To improve the machining accuracy of a CNC machine, an error model is proposed based on orthogonal polynomials. With the application of the orthogonal polynomials, the polynomial regression can be transformed into multiple linear regressions which are easier to calculate. In order to implement the real-time error compensation for the thermally induced spindle error and geometric error, an error compensation method is proposed based on the external coordinate offset. The thermally induced spindle and geometric error are compensated by 90 % compared with no compensation.
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References
Liu H, Li B, Wang X (2011) Characteristics of and measurement methods for geometric errors in CNC machine tools. Int J Adv Manuf Technol 54:195–201
Ren YQ, Liu GL, Ye FF, Yang JG, Charles W (2005) Analysis of laser vector measurement based on body diagonals for volumetric position errors on machine tools. J Shanghai Jiaotong Univ 39(9):1413–1417
Denis Ashok S, Samuel GL (2011) Modeling, measurement, and evaluation of spindle radial errors in a miniaturized machine tool. Int J Adv Manuf Technol. doi:10.1007/s00170-011-3519-8
Hsu YY, Wang SS (2007) A new compensation method for geometry errors of five-axis machine tools. Int J Mach Tools Manuf 47:352–360
Ramesh R, Mannan MA, Poo AN (2000) Error compensation in machine tools—a review. Part I: geometric, cutting-force induced and fixture-dependent errors. Int J Mach Tools Manuf 40:1235–1256
Chana R, Manukid P (2004) Geometric and force errors compensation in a 3-axis CNC milling machine. Int J Mach Tools Manuf 44:1283–1291
Liang JC, Li HF, Yuan JX, Ni J (1997) A comprehensive error compensation system for correcting geometric, thermal, and cutting force-induced errors. Int J Adv Manuf Technol 13:708–712
Chen JS (1996) Neural network-based modeling and error compensation of thermally-induced spindle errors. Int J Adv Manuf Technol 12:303–308
Pahk HJ, Lee SW (2002) Thermal error measurement and real time compensation system for the CNC machine tools incorporating the spindle thermal error and the feed axis thermal error. Int J Adv Manuf Technol 20:487–494
Fan KG, Yang JG, Jiang H, Wang W, Yao XD (2012) Error prediction and clustering compensation on shaft machining. Int J Adv Manuf Technol 58:663–670
Fan KG, Yang JG, Yao XD, Wang W, Jiang H (2011) Error compensation for shaft parts in batch manufacture based on Newton interpolation. Chin J Mech Eng 47(9):112–116
Ren YQ, Liu GL, Ye FF, Yang JG, Charls W (2005) Analysis of laser vector measurement based on body diagonals for volumetric position errors on machine tools. J Shanghai Jiaotong Univ 39(9):1413–1417
Xue WM (1989) Orthogonal polynomial regression and its application. Chemical Industry Press, Beijing
Yang JG (1998) Error synthetic compensation technique and application for NC machine tools. Doctoral Dissertation, Shanghai Jiaotong University, Shanghai China
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Fan, K., Yang, J. & Yang, L. Orthogonal polynomials-based thermally induced spindle and geometric error modeling and compensation. Int J Adv Manuf Technol 65, 1791–1800 (2013). https://doi.org/10.1007/s00170-012-4301-2
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DOI: https://doi.org/10.1007/s00170-012-4301-2