Abstract
It is crucial to perform volumetric error forward analyses of horizontal machining centers, including modeling, validation, and compensation, so that workpiece machining accuracies can be improved. Aiming at solving three major problems so far emerged in the machine tool volumetric error forward analyses, an integrated methodology is proposed in this paper. Firstly, in order to formulate a kinematic model without uncertainties and inconsistencies, a principle to determine the correct product relations of nominal motions to motion errors is systematically developed. Secondly, a novel validation approach based on the concept of volumetric vector Euclidean norm is demonstrated in this paper, assuring that the constructed volumetric error model can be quantitatively assessed without engaging any compensation processes. Thirdly, an optimal compensation technology is also presented to achieve the objective that the compensation residual errors, which are likely generated from the existing inverse superposition compensation strategies, can be diminished or even eliminated. A commercial horizontal machining center is selected to apply and verify the proposed integrated methodology.
Similar content being viewed by others
References
Schwenke H, Knapp W, Haitjema H, Weckenmann A, Schmitt R, Delbressine F (2008) Geometric error measurement and compensation of machines—an update. CIRP Ann 57(2):660–675
Pashaki PV, Pouya M (2016) Volumetric error compensation in five-axis cnc machining center through kinematics modeling of geometric error. Adv in Sci and Technol Res J 10(30):207–217
Vahebi M, Arezoo B (2018) Accuracy improvement of volumetric error modeling in cnc machine tools. The Int J of Adv Mauf Technol 95(5):2243–2257
Baum C, Brecher C, Klatte M, Lee TH, Tzanetos F (2018) Thermally induced volumetric error compensation by means of integral deformation sensors. Proced CIRP 72:1148–1153
Hwang J, Shim J (2017) Generic kinematic model based volumetric error simulation for various configurations of multi-axis machine tools
Xiang S, Altintas Y (2016) Modeling and compensation of volumetric errors for five-axis machine tools. Int J of Mach Tool and Manuf 101:65–78
Cheng Q, Feng Q, Liu Z, Gu P, Zhang G (2016) Sensitivity analysis of machining accuracy of multi-axis machine tool based on poe screw theory and morris method. The Int J of Adv Mauf Technol 84(9):2301–2318
Ding W, Zhu X, Huang X (2016) Effect of servo and geometric errors of tilting-rotary tables on volumetric errors in five-axis machine tools. Int J of Mach Tool and Manuf 104:37–44
Pathak S, Jain N (2017) Modeling and experimental validation of volumetric material removal rate and surface roughness depth of straight bevel gears in pulsed-ech process. Int J of Mech Sci 124:132–144
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 of Mach Tool and Manuf 52(1):24–29
Pezeshki M, Arezoo B (2017) Accuracy enhancement of kinematic error model of three-axis computer numerical control machine tools. Proc of the Inst of Mech Eng Part B: J of Engi Manuf 231(11):2021–2030
Weng L, Gao W, Zhang D, Sun G, Tian W, Liu T (2018) Influences of linear and angular compensation on volumetric accuracy of precision machine tools. In: 2018 IEEE Int Conf on Adv Mauf (ICAM). IEEE, pp 57–60
Esmaeili SM, Mayer J (2020) Generation of a 3d error compensation grid from iso 230-1 error parameters obtained by a samba indirect calibration and validated by a ball-bar spherical test. The Int J of Adv Mauf Technol 106(11):4649–4662
Creamer J, Sammons PM, Bristow DA, Landers RG, Freeman PL, Easley SJ (2017) Table-based volumetric error compensation of large five-axis machine tools. J of Mauf Sci and Eng 139(2)
Li J, Mei B, Shuai C, Xj Liu, Liu D (2019) A volumetric positioning error compensation method for five-axis machine tools. The Int J of Adv Mauf Technol 103(9):3979–3989
Xiang S, Deng M, Li H, Du Z, Yang J (2019) Volumetric error compensation model for five-axis machine tools considering effects of rotation tool center point. The Int J of Adv Mauf Technol 102 (9-12):4371–4382
Givi M, Mayer J (2016) Optimized volumetric error compensation for five-axis machine tools considering relevance and compensability. CIRP J of Mauf Sci and Technol 12:44–55
Givi M, Mayer J (2015) Volumetric error formulation and mismatch test for five-axis cnc machine compensation using differential kinematics and ephemeral g-code. The Int J of Adv Mauf Technol 77(9-12):1645–1653
Chen G, Liang Y, Sun Y, Chen W, Wang B (2013) Volumetric error modeling and sensitivity analysis for designing a five-axis ultra-precision machine tool. The Int J of Adv Mauf Technol 68(9-12):2525–2534
Li D, Feng P, Zhang J, Yu D, Wu Z (2014) An identification method for key geometric errors of machine tool based on matrix differential and experimental test. Proc of the Inst of Mech Eng Part C: J Mech Eng Sci 228(17):3141–3155
Li J, Xie F, Liu XJ, Li W, Zhu S (2016) Geometric error identification and compensation of linear axes based on a novel 13-line method. The Int J of Adv Mauf Technol 87(5-8):2269–2283
Polini W, Corrado A (2019) A general model to estimate hole location deviation in drilling: the contribution of three error sources. The Int J of Adv Mauf Technol 102(1-4):545–557
Wu B, Yin Y, Zhang Y, Luo M (2019) A new approach to geometric error modeling and compensation for a three-axis machine tool. The Int J of Adv Mauf Technol 102(5-8):1249–1256
Murray RM, Li Z, Sastry SS, Sastry SS (1994) A mathematical introduction to robotic manipulation. CRC Press, Boca Raton
Yang SH, Lee HH, Lee KI (2019) Identification of inherent position-independent geometric errors for three-axis machine tools using a double ballbar with an extension fixture. The Int J of Adv Mauf Technol 102(9-12):2967–2976
Tian W, Gao W, Zhang D, Huang T (2014) A general approach for error modeling of machine tools. Int J of Mach Tool and Manuf 79:17–23
Su S, Li S, Wang G (2002) Identification method for errors of machining center based on volumetric error model. Jixie Gongcheng Xuebao(Chin J of Mech Eng)(Chin) 38(7):121–125
Acknowledgements
The authors appreciate Dr. Liang Mi of the China Academy of Engineering Physics for the outstanding suggestions and guidance on experimentation research during the manuscript preparation.
Funding
This paper was financially supported by the Young Scholars Development Fund of SWPU under Grant No. 201499010023, the Sichuan Science and Technology Program under Grant No. 2020YJ0151, the Key Technology R&D Program of Sichuan Province under Grant No. 2017GZ0057, and the Sichuan Science and Technology Program under Grant No. 2021YFQ0002.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that this article is original and has never been published elsewhere in any form or language. And the authors confirm that the presented research does not involve any Human Participants and Animals.
Consent for publication
All the authors consent to publication and transfer copyright of this article to the publisher after acceptance.
Conflict of interest
The authors declare no competing interests.
Additional information
Availability of data and material
The datasets generated and analysed during the current study are available from the corresponding author on reasonable request.
Consent to participate
All the authors are aware of the consent to participate in this research.
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Hu, T., Wang, W., Jiang, Y. et al. An integrated methodology of volumetric error modeling, validation, and compensation for horizontal machining centers. Int J Adv Manuf Technol 115, 1445–1459 (2021). https://doi.org/10.1007/s00170-021-06890-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-021-06890-1