Skip to main content
Log in

Modeling of laser adjustment for large diameter tubes using robotic kinematic theories

  • Published:
Advances in Manufacturing Aims and scope Submit manuscript

Abstract

Laser adjustment is a new technique that employs laser forming processes to align components along specific directions. To develop a laser adjustment solution with a minimal number of bends, herein, a new modeling and calculation method that uses robotic kinematic theories is introduced. A numerical example and the corresponding laser adjustment solution are presented. The simulation results suggest that a straight tube with a flange connector can be adjusted to match the corresponding connector with three bends. Finally, the simulation results were verified using experiments. The maximum deviation was approximately 0.4 mm and the deviation of the flange connector was smaller, showing that a good adjustment quality could be achieved using the specific adjustment solution.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Shen H (2008) Mechanism of laser micro-adjustment. J Phys D Appl Phys 41(24):245106

    Article  Google Scholar 

  2. Qi L, Namba Y (2011) Precision laser adjustment using CW diode laser. Precis Eng 35(1):126–132

    Article  Google Scholar 

  3. Shen H, Gong C, Hu J et al (2012) Numerical and experimental study on bi-direction deformations in laser micro forming of two-bridge actuators. Int J Mach Tools Manuf 54:66–72

    Article  Google Scholar 

  4. Hennige T, Holzer S, Vollertsen F et al (1997) On the working accuracy of laser bending. J Mater Process Technol 71(3):422–432

    Article  Google Scholar 

  5. Folkersma G, Brouwer D, Römer GW (2016) Microtube laser forming for precision component alignment. J Manuf Sci Eng 138(8):081012

    Article  Google Scholar 

  6. Folkersma KGP, Römer G, Brouwer DM et al (2016) High precision optical fiber alignment using tube laser bending. Int J Adv Manuf Technol 86(1–4):953–961

    Article  Google Scholar 

  7. Li W, Yao YL (2001) Laser bending of tubes: mechanism, analysis, and prediction. J Manuf Sci Eng 123(4):674–681

    Article  Google Scholar 

  8. Hao N, Li L (2003) An analytical model for laser tube bending. Appl Surf Sci 208:432–436

    Article  Google Scholar 

  9. Folkersma KGP, Brouwer DM, Römer GRBE et al (2016) Robust precision alignment algorithm for micro tube laser forming. Precis Eng 46:301–308

    Article  Google Scholar 

  10. Siciliano B, Khatib O (2016) Springer handbook of robotics. Springer, Berlin

    Book  Google Scholar 

  11. Raghavan M, Roth B (1993) Inverse kinematics of the general 6R manipulator and related linkages. J Mech Des 115(3):502–508

    Article  Google Scholar 

  12. Denavit J, Hartenberg RS (1955) A kinematic notation for lower-pair mechanisms based on matrices. Trans ASME J Appl Mech 22:215–221

    MathSciNet  MATH  Google Scholar 

  13. Qiao Y, Chen Y, Yang J et al (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 118–119:49–60

    Article  Google Scholar 

  14. Sun T, Yang SF, Huang T et al (2018) A generalized and analytical method to solve inverse kinematics of serial and parallel mechanisms using finite screw theory. Computational kinematics. Springer, Cham, pp 602–608

    Google Scholar 

  15. Chen G, Wang H, Lin Z (2014) Determination of the identifiable parameters in robot calibration based on the POE formula. IEEE Trans Robot 30(5):1066–1077

    Article  Google Scholar 

  16. Wei Y, Jian S, He S et al (2014) General approach for inverse kinematics of nR robots. Mech Mach Theory 75:97–106

    Article  Google Scholar 

  17. Dai JS (2012) Finite displacement screw operators with embedded Chasles’ motion. J Mech Robot 4(4):041002

    Article  Google Scholar 

  18. Besl PJ, Mckay ND (1992) A method for registration of 3-D shapes. IEEE Computer Society, Washington

    Book  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 51121063, 51575354, 51105255, 51205251), the National Key Technology Research and Development of the Ministry of Science and Technology of China (Grant No. 2014CB046604), and by the Shanghai Municipal Science and Technology Project (Grant Nos. 15111102203, 15111107902).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pin Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, P., Xi, JT. Modeling of laser adjustment for large diameter tubes using robotic kinematic theories. Adv. Manuf. 6, 401–408 (2018). https://doi.org/10.1007/s40436-018-0235-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40436-018-0235-8

Keywords

Navigation