Skip to main content
SpringerLink
Log in

Volumetric error compensation model for five-axis machine tools considering effects of rotation tool center point

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Conventional volumetric error compensation strategies for five-axis machines directly generate compensation values without considering the RTCP (rotation tool center point) effects, which causes additional movements of translational axes with the movement of rotary axes, so the compensation values for three linear axes need to be recalculated. In this paper, a volumetric error compensation model considering RTCP is proposed. In the model, the compensation values for translational axes totally consist of three parts, i.e., position errors caused by the volumetric error, position variations caused by the compensation of rotary axes, and caused by RTCP. Firstly, the compensation values for rotary axes are obtained based on the volumetric error model and the inverse kinematics. Then, the compensation values for three linear axes are calculated in detail based on the compensation values of rotary axes and RTCP effects. Finally, ballbar tests of a cone-frustum toolpath are selected to verify the proposed compensation model.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Xiang S, Li H, Deng M, Li H, Yang J (2018) Geometric error identification and compensation for non-orthogonal five-axis machine tools. Int J Adv Manuf Technol 96(5–8):2915–2929

    Article  Google Scholar 

  2. Xiang S, Altintas Y (2016) Modeling and compensation of volumetric errors for five-axis machine tools. Int J Mach Tools Manuf 101:65–78

    Article  Google Scholar 

  3. 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(9–12):2071–2082

    Article  Google Scholar 

  4. Xiang S, Yang J (2014) Using a double ball bar to measure 10 position-dependent geometric errors for rotary axes on five-axis machine tools. Int J Adv Manuf Technol 75(1–4):559–572

    Article  Google Scholar 

  5. 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

    Article  Google Scholar 

  6. Ibaraki S, Kudo T, Yano T, Takatsuji T, Osaw S, Sato O (2015) Estimation of three-dimensional volumetric errors of machining centers by a tracking interferometer. Precis Eng 39:179–186

    Article  Google Scholar 

  7. Ibaraki S, Sato G, Takeuchi K (2014) ‘Open-loop’tracking interferometer for machine tool volumetric error measurement—two-dimensional case. Precis Eng 38(3):666–672

    Article  Google Scholar 

  8. Givi M, Mayer J (2014) Validation of volumetric error compensation for a five-axis machine using surface mismatch producing tests and on-machine touch probing. Int J Mach Tools Manuf 87:89–95

    Article  Google Scholar 

  9. Lei W, Hsu Y (2003) Accuracy enhancement of five-axis CNC machines through real-time error compensation. Int J Mach Tools Manuf 43(9):871–877

    Article  Google Scholar 

  10. Hsu Y, Wang S (2007) A new compensation method for geometry errors of five-axis machine tools. Int J Mach Tools Manuf 47(2):352–360

    Article  Google Scholar 

  11. Zhu S, Ding G, Qin S, Jiang L, Zhuang L, Yan K et al (2012) Integrated geometric error modeling, identification and compensation of CNC machine tools. Int J Mach Tools Manuf 52(1):24–29

    Article  Google Scholar 

  12. Huang N, Jin Y, Bi Q, Wang Y (2015) Integrated post-processor for 5-axis machine tools with geometric errors compensation. Int J Mach Tools Manuf 94:65–73

    Article  Google Scholar 

  13. Liu Y, Wan M, Xing W, Xiao Q, Zhang W (2018) Generalized actual inverse kinematic model for compensating geometric errors in five-axis machine tools. Int J Mech Sci 145:299–317

    Article  Google Scholar 

  14. Yang J, Mayer J, Altintas Y (2015) A position independent geometric errors identification and correction method for five-axis serial machines based on screw theory. Int J Mach Tools Manuf 95:52–66

    Article  Google Scholar 

  15. Yang J, Ding H (2016) A new position independent geometric errors identification model of five-axis serial machine tools based on differential motion matrices. Int J Mach Tools Manuf 104:68–77

    Article  Google Scholar 

  16. Fu G, Fu J, Xu Y, Chen Z, Lai J (2015) Accuracy enhancement of five-axis machine tool based on differential motion matrix: geometric error modeling, identification and compensation. Int J Mach Tools Manuf 89:170–181

    Article  Google Scholar 

  17. Qiao Y, Chen Y, Yang J, Chen B (2017) A five-axis geometric errors calibration model based on the common perpendicular line (CPL) transformation using the product of exponentials (POE) formula. Int J Mach Tools Manuf 118:49–60

    Article  Google Scholar 

  18. ISO-230-7:2006,Test code for machine tools—Part7: Geometric accuracy of axes of rotation

  19. Kato N, Tsutsumi M, Sato R (2013) Analysis of circular trajectory equivalent to cone-frustum milling in five-axis machining centers using motion simulator. Int J Mach Tools Manuf 64:1–11

    Article  Google Scholar 

Download references

Funding

This research was sponsored by the National Natural Science Foundation of China (51705262), Natural Science Foundation of Ningbo (2018A610147), Research Project of State Key Laboratory of Mechanical System and Vibration (MSV201911), Chinese National Science and Technology Key Special Projects (2015ZX04005001), and the K. C. Wong Magna Fund in Ningbo University.

Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, People’s Republic of China

    Sitong Xiang

  2. State Key Laboratory of Mechanical System and Vibration, School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Sitong Xiang, Ming Deng, Huimin Li, Zhengchun Du & Jianguo Yang

Authors
  1. Sitong Xiang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ming Deng
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Huimin Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhengchun Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Jianguo Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sitong Xiang.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xiang, S., Deng, M., Li, H. et al. Volumetric error compensation model for five-axis machine tools considering effects of rotation tool center point. Int J Adv Manuf Technol 102, 4371–4382 (2019). https://doi.org/10.1007/s00170-019-03497-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-019-03497-5

Keywords

Search

Navigation