Equivalent geometric errors of rotary axes and novel algorithm for geometric errors compensation in a nonorthogonal five-axis machine tool
Abstract
The indirect identification of the geometric errors (GEs) in the rotary axis of a machine tool yields six equivalent GEs (EGEs) that are position-dependent; through an analytical proof, this study demonstrates that these errors also represent four position-independent GEs of the axis. Moreover, a novel algorithm using ball bar measurements to calculate the EGEs of a nutating rotary B-axis and a rotary C-axis is presented herein. This paper also presents a new analytical solution for the actual inverse kinematics of a nonorthogonal five-axis machine tool; this solution is used for GE compensation. The presented algorithms are implemented in a self-developed software that alters the nominal numerical control code in order to eliminate GEs. The compensation accuracy and efficiency are tested using a simulation system. The results demonstrate that the proposed compensation algorithm eliminates all identified GEs. Lastly, a cutting test executed on a machine confirms that the proposed algor...ithms considerably improve machining accuracy.
Keywords:
Nonorthogonal five-axis machine tool / Kinematic model / Geometric error identification / Geometric error compensation / Equivalent geometric errorsSource:
CIRP Journal of Manufacturing Science and Technology, 2022, 37, 477-488Publisher:
- Elsevier, Amsterdam
Funding / projects:
- Ministry of Education, Science, and Technological Development of Serbia
DOI: 10.1016/j.cirpj.2022.03.001
ISSN: 1755-5817
WoS: 000778631100003
Scopus: 2-s2.0-85126139485
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Institution/Community
Mašinski fakultetTY - JOUR AU - Kvrgić, Vladimir AU - Ribić, Aleksandar, I AU - Dimić, Zoran AU - Živanović, Saša AU - Dodevska, Zorica A. PY - 2022 UR - https://machinery.mas.bg.ac.rs/handle/123456789/3722 AB - The indirect identification of the geometric errors (GEs) in the rotary axis of a machine tool yields six equivalent GEs (EGEs) that are position-dependent; through an analytical proof, this study demonstrates that these errors also represent four position-independent GEs of the axis. Moreover, a novel algorithm using ball bar measurements to calculate the EGEs of a nutating rotary B-axis and a rotary C-axis is presented herein. This paper also presents a new analytical solution for the actual inverse kinematics of a nonorthogonal five-axis machine tool; this solution is used for GE compensation. The presented algorithms are implemented in a self-developed software that alters the nominal numerical control code in order to eliminate GEs. The compensation accuracy and efficiency are tested using a simulation system. The results demonstrate that the proposed compensation algorithm eliminates all identified GEs. Lastly, a cutting test executed on a machine confirms that the proposed algorithms considerably improve machining accuracy. PB - Elsevier, Amsterdam T2 - CIRP Journal of Manufacturing Science and Technology T1 - Equivalent geometric errors of rotary axes and novel algorithm for geometric errors compensation in a nonorthogonal five-axis machine tool EP - 488 SP - 477 VL - 37 DO - 10.1016/j.cirpj.2022.03.001 ER -
@article{ author = "Kvrgić, Vladimir and Ribić, Aleksandar, I and Dimić, Zoran and Živanović, Saša and Dodevska, Zorica A.", year = "2022", abstract = "The indirect identification of the geometric errors (GEs) in the rotary axis of a machine tool yields six equivalent GEs (EGEs) that are position-dependent; through an analytical proof, this study demonstrates that these errors also represent four position-independent GEs of the axis. Moreover, a novel algorithm using ball bar measurements to calculate the EGEs of a nutating rotary B-axis and a rotary C-axis is presented herein. This paper also presents a new analytical solution for the actual inverse kinematics of a nonorthogonal five-axis machine tool; this solution is used for GE compensation. The presented algorithms are implemented in a self-developed software that alters the nominal numerical control code in order to eliminate GEs. The compensation accuracy and efficiency are tested using a simulation system. The results demonstrate that the proposed compensation algorithm eliminates all identified GEs. Lastly, a cutting test executed on a machine confirms that the proposed algorithms considerably improve machining accuracy.", publisher = "Elsevier, Amsterdam", journal = "CIRP Journal of Manufacturing Science and Technology", title = "Equivalent geometric errors of rotary axes and novel algorithm for geometric errors compensation in a nonorthogonal five-axis machine tool", pages = "488-477", volume = "37", doi = "10.1016/j.cirpj.2022.03.001" }
Kvrgić, V., Ribić, A. I., Dimić, Z., Živanović, S.,& Dodevska, Z. A.. (2022). Equivalent geometric errors of rotary axes and novel algorithm for geometric errors compensation in a nonorthogonal five-axis machine tool. in CIRP Journal of Manufacturing Science and Technology Elsevier, Amsterdam., 37, 477-488. https://doi.org/10.1016/j.cirpj.2022.03.001
Kvrgić V, Ribić AI, Dimić Z, Živanović S, Dodevska ZA. Equivalent geometric errors of rotary axes and novel algorithm for geometric errors compensation in a nonorthogonal five-axis machine tool. in CIRP Journal of Manufacturing Science and Technology. 2022;37:477-488. doi:10.1016/j.cirpj.2022.03.001 .
Kvrgić, Vladimir, Ribić, Aleksandar, I, Dimić, Zoran, Živanović, Saša, Dodevska, Zorica A., "Equivalent geometric errors of rotary axes and novel algorithm for geometric errors compensation in a nonorthogonal five-axis machine tool" in CIRP Journal of Manufacturing Science and Technology, 37 (2022):477-488, https://doi.org/10.1016/j.cirpj.2022.03.001 . .
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