Abstract
Position independent geometric errors (PIGEs) of rotary axes, which are caused by imperfections during assembly of machine tools, are proved to be one of the major error sources of a five-axis machine tool. In this paper, PIGEs’ characterization method through hybrid motion of linear-rotary axes using a double ball bar (DBB) is proposed. The coordinated motions involving the motion of a linear and rotary axes are designed, namely, the XC, YC, and ZB motion pairs. The comprehensive error model of the machine tool is established using the screw theory based on the machine tool topology. The asynchronization between the synthetized velocity of the spindle tool cup relative to the workpiece tool cup during the coordinated motions has been resolved based on optimal motion trajectories. The PIGEs are identified using the particle swarm optimization method and simulated using the comprehensive machine tool model. A compensation strategy of the identified errors is proposed using the machine inverse kinematics. The effectiveness of the proposed characterization method is proved by the compensation results.
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References
Ramesh R, Mannan M, Poo A (2000) Error composition in machine tools–a review part 1: geometric, cutting-force induced and fixture-dependent errors. Int J Mach Tools Manuf 40(9):1235–1256
Jiang X, Cripps R (2017) Accuracy evaluation of rotary axes of five-axis machine tools with a single setup of a double ball bar. Proc Inst Mech Eng B J Eng Manuf 231(3):427–436
ISO 230-1 (2012) Test code for machine tools-Part I: Geometric accuracy of machines operating under no-load or quasistatic conditions. International Organization for Standardization, Geneva
Jiang X, Cripps R (2016) Geometric characterisation and simulation of position independent geometric errors of five-axis machine tools using a double ball bar. Int J Adv Manuf Technol 83:1905–1915
Rahman M, Heikkala J, Lappalainen K (2000) Modeling, measurement and error compensation of multi—axis machine tools. Part I theory. Int J Mach Tools Manuf 40(10):1535–1546
Psang D, Chian S (2008) Modeling and measurement of active parameters and workpiece home position of a multi-axis machine tool. Int J Mach Tools Manuf 48:338–349
Yang J, Alintas Y (2013) Generalized kinematics of five axis serial machines with non-singular tool path generation. Int J Mach Tools Manuf 75:119–132
Chen J, Lin S, Zhou X, Gu T (2016) A ballbar test for measurement and identification the comprehensive error of tilt table. Int J Mach Tools Manuf 103:1–12
Fu G, Fu J, Xu Y, Chen Z (2014) Product of exponential model for geometric error integration of multi-axis machine tools. Int J Mach Tools Manuf 71:1653–1667
Xiang S, Altintas Y (2016) Modeling and compensation of volumetric errors for five-axis machine tools. Int J Mach Tools Manuf 101:65–78
Chapman M (2003) Limitations of laser diagonal measurements. Precis Eng 27(4):401–406
Schwenke H, Reanke M, Hannaford J (2005) Error mapping of CMMs and machine tools by a single tracking interferometer. Ann CIRP 54(1):475–478
Wang J, Guo J (2013) Algorithm for detecting volumetric geometric accuracy of NC machine tool by laser tracker. Chin J Mech Eng 26(1):166–175
Lee H, Son J, Yang S (2017) Techniques for measuring and compensating for servo mismatch in machine tools using a laser tracker. Int J Adv Manuf Technol 92:2919–2928
Knapp W, Weikert S (1999) Testing the contouring performance in 6 degrees of freedom. Ann CIRP 48(1):433–436
Du Z, Zhang S, Hong M (2010) Development of a multi-step measuring method for motion accuracy of NC machine tools based on cross grid encoder. Int J Mach Tools Manuf 50(1):270–280
Lee K, Lee D, Yang S (2012) Parametric modeling and estimation of geometric errors for a rotary axis using double ball-bar. Int J Adv Manuf Technol 62:741–750
Peng W, Xia H, Chen X, Lin Z, Wang Z, Li H (2018) Position-dependent geometric errors measurement and identification for rotary axis of multi-axis machine tools based on optimization method using double ball-bar. Int J Adv Manuf Technol 99:2295–2307
Ding S, Wu W, Huang X, Song A, Zhang Y (2019) Single-axis driven measurement method to identify position-dependent geometric errors of a rotary table using double ball bar. Int J Adv Manuf Technol 101:1715–1724
Lee K, Lee H, Yang S (2017) Interim check and practical accuracy improvement for machine tools with sequential measurements using a double ball-bar on a virtual regular tetrahedron. Int J Adv Manuf Technol 93:1527–1536
Xu K, Li G, He K, Tao X (2020) Identification of position-dependent geometric errors with non-integer exponents for linear axis using double ball bar. Int J Mech Sci 170:105326
Tsutsumi M, Saito A (2003) Identification and compensation of systematic deviations particular to 5-axis machining centers. Int J Mach Tools Manuf 43(8):771–780
Lee K, Yang S (2013) Measurement and verification of position-independent geometric errors of a five-axis machine tool using a double ball-bar. Int J Mach Tools Manuf 70:45–52
Chen J, Lin S, He B (2014) Geometric error measurement and identification for rotary table of multi-axis machine tool using double ballbar. Int J Mach Tools Manuf 77:47–55
Zhu S, Ding G, Qin S, Lei J, Zhuang L, Yan K (2012) Integrated geometric error modeling, identification and compensation of CNC machine tools. Int J Mach Tools Manuf 52(1):25–29
Ding S, Huang X, Yu C, Liu X (2016) Identification of different geometric error models and definitions for the rotary axis of five-axis machine tools. Int J Mach Tools Manuf 100:1–6
Jiang X, Cripps R (2015) A method of testing position independent geometric errors in rotary axes of a five-axis machine tool using a double ball Bar. Int J Mach Tools Manuf 101(1):65–78
Xiang S, Yang J, Zhang Y (2014) Using a double ball bar to identify position-independent geometric errors on the rotary axes of five-axis machine tools. Int J Adv Manuf Technol 70:2071–2082
Jiang X, Wang L, Liu C (2019) Investigation of rotary axes geometric performance of a five-axis machine tool using a double ball bar through dual axes coordinated motion. Int J Adv Manuf Technol 103:3943–3952
Jiang X, Wang L, Liu C (2019) Geometric accuracy evaluation during coordinated motion of rotary axes of a five-axis machine tool. Measurement 146:403–410
Hong C, Ibaraki S (2013) Non-contact R-test with laser displacement sensors for error calibration of five-axis machine tools. Precis Eng 37(1):159–171
Ibaraki S, Oyama C, Otsubo H (2011) Construction of an error map of rotary axes on a five-axis machining center by static R-test. Int J Mach Tools Manuf 51(3):190–200
Schwenke H, Knapp W, Haitjema H, Weckenmann A, Schmitt R, Delbressine F (2008) Geometric error measurement and compensation of machines-an update. CIRP Ann Manuf Technol 57(2):660–675
Renishaw plc., Renishaw QC20-W Ballbar system help manual, 2009. Available at: https://www.renishaw.com/en/qc20-w-ballbar-system-11075. Accessed 11 Nov 2020
Fan K, Chen H, Kuo T (2012) Prediction of machining accuracy degradation of machine tools. Precis Eng 36:288–298
Acknowledgments
The authors would like to appreciate the financial support sponsored by the National Science Foundation of China (51905377, 51705362), Tianjin Natural Science Foundation (20JCQNJC00040, 18JCQNJC75600) and the Science & Technology Development Fund of Tianjin Education Commission for Higher Education (2017KJ079, 2017KJ081).
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Jiang, X., Wang, H., Yao, S. et al. Geometric errors characterization of a five-axis machine tool through hybrid motion of linear-rotary joints. Int J Adv Manuf Technol 111, 3469–3479 (2020). https://doi.org/10.1007/s00170-020-06302-w
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DOI: https://doi.org/10.1007/s00170-020-06302-w