Unified error model based spatial error compensation for four types of CNC machining center: Part I—Singular function based unified error model

Abstract To unify the error model for four types of CNC machining center, the comprehensive error model of each type of CNC machining center was established using the homogenous transformation matrix (HTM). The internal rules between the HTMs and the kinematic chains were analyzed in this research. The analysis results show that the HTM elements associated with the motion axes which are at the rear of the reference coordinate system are positive value. On the contrary, the HTM elements associated with the motion axes which are at the front of the reference coordinate system are negative value. To express these internal rules, the singular function was introduced to the HTMs. And a unified error model for four types of CNC machining center was established based on the HTM and the singular function. The unified error model includes 18 error elements which are the main factors affecting the machining accuracy of CNC machine tools. The practical results show that the unified error model is not only suitable for vertical machining center but also suitable for horizontal machining center.

[1]  Liu Guo-liang,et al.  Analysis of Laser Vector Measurement Based on Body Diagonals for Volumetric Position Errors on Machine Tools , 2005 .

[2]  Yang Jian-guo.  A Real-time Compensation Method for the Geometric and Thermal Error on CNC Turning Machine , 2008 .

[3]  Kaiguo Fan.  Error Compensation for Shaft Parts in Batch Manufacture Based on Newton Interpolation , 2011 .

[4]  Zhaowei Zhong,et al.  A hybrid analytical model for the transverse vibration response of a micro-end mill , 2013 .

[5]  Chun-Hong Park,et al.  Estimation and correction method for the two-dimensional positionerrors of a planar XY stage based on motion error measurements , 2006 .

[6]  Xu Yuan.  Research on Micro-feeding System Applied to Grinder , 2008 .

[7]  Gaël Chevallier,et al.  Improvement of measurement techniques for damping induced by micro-sliding , 2013 .

[8]  Bing Li,et al.  Characteristics of and measurement methods for geometric errors in CNC machine tools , 2011 .

[9]  M. Sortino,et al.  Modeling the dynamic properties of conventional and high-damping boring bars , 2013 .

[10]  Ren Yong-qiang.  The Application of Real-Time Thermal Error Compensation on NC Machine Tools , 2005 .

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

[12]  Roberto Caracciolo,et al.  Model-based dynamic compensation of load cell response in weighing machines affected by environmental vibrations , 2013 .

[13]  Jun Ni,et al.  CNC Machine Accuracy Enhancement Through Real-Time Error Compensation , 1997 .

[14]  Yang Jianguo,et al.  Synthesis Error Modeling of the Five-Axis Machine Tools Based on Multi-body System Theory , 2008 .