Skip to main content

General Approach for Parameterization of the Inverse Dynamic Equation for Industrial Robot and 5-axis CNC Machine

  • Conference paper
  • First Online:

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 113))

Abstract

In practice, using the 5-axis CNC machines and industrial welding robots for fabricating more and more complex mechanical parts is an increasing demand. In this context, the tooltip of the machines/robots is usually required to move along a complex toolpath represented by a parametric equation such as Bezier, Spline or NURBS. Hence, computation of the inverse kinematics and dynamics e.g. velocities, accelerations, jerks and applied torques/forces in the joint space of a machine/robot when the tooltip tracks such as high curvature parametric curve is challenging. Therefore, this paper presents a general approach for the parameterization of the kinematic and dynamic equations of the machine/robot. By using the proposed method, the kinematics and dynamics model of a machine/robot can be formulated in the parametric domain, which is advantageous and applicable for the dynamic analysis of the 5-axis CNC machine/robot and other purposes.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Craig, J.J.: Introduction to Robotics: Mechanics and Control, 3rd edn.. Pearson Education, Upper Saddle River, NJ, USA (2005)

    Google Scholar 

  2. Ceccarelli, M.: Fundamentals of the mechanics of robots. In: Fundamentals of Mechanics of Robotic Manipulation. International Series on Microprocessor-Based and Intelligent Systems Engineering, vol. 27, pp. 73–240. Springer, Dordrecht (2004). https://doi.org/10.1007/978-1-4020-2110-7_3

  3. Merlet, J.P.: Parallel Robots. Kluwer Academic Publishers, London (2000)

    Google Scholar 

  4. Khang, N.V., My, C.A.: Fundamentals of Industrial Robots. Vietnam Education Publisher, Text Book (2011).(in Vietnamese)

    Google Scholar 

  5. My, C.A.: Integration of CAM systems into multi-axes computerized numerical control machines. In: 2010 Second International Conference on Knowledge and Systems Engineering, pp. 119–124. IEEE (2010)

    Google Scholar 

  6. My, C.A., Hai, V.X.: Generalized pseudo inverse kinematics at singularities for developing five-axes CNC machine tool postprocessor. Vietnam J. Mech. 35, 147–155 (2013)

    Article  Google Scholar 

  7. Sørby, K.: Inverse kinematics of five-axis machines near singular configurations. Int. J. Mach. Tools Manuf. 47, 299–306 (2007)

    Article  Google Scholar 

  8. Lee, R.S., She, C.H.: Developing a postprocessor for three types of five-axis machine tools. Int. J. Adv. Manuf. Technol. 13, 658–665 (1997)

    Article  Google Scholar 

  9. Xu, H.Y., Hu, L.A., Hon-Yuen, T., Shi, K., Xu, L.: A novel kinematic model for five-axis machine tools and its CNC applications. Int. J. Adv. Manuf. Technol. 67, 1297–307 (2013)

    Google Scholar 

  10. My, C.A., Bohez, E.L.: Multi-criteria optimization approach for five-axis CNC tool path planning: modeling methodology. In: Proceedings of the 3rd Asian Conference on Industrial Automation and Robotics, pp. 5–11 (2003)

    Google Scholar 

  11. She, C.H., Chang, C.C.: Design of a generic five-axis postprocessor based on generalized kinematics model of machine tool. Int. J. Mach. Tools Manuf. 47, 537–545 (2007)

    Article  Google Scholar 

  12. My, C.A., Bohez, E.L.: A novel differential kinematics model to compare the kinematic performances of five-axis CNC centers, Int. J. Mech. Sci. 163, 105117 (2019)

    Google Scholar 

  13. My, C.A., Bohez, E.L.J., Makhanov, S.S.: Critical point analysis of 3D vector field for five-axis tool path optimization. In: Proceedings of the 4th Asian Conference on Industrial Automation and Robotics, ACIAR, pp. 11–13 (2005)

    Google Scholar 

  14. My, C.A., et al.: Real time inverse kinematics of five-axis CNC centers. In: Long, B.T., Kim, Y.-H., Ishizaki, K., Toan, N.D., Parinov, I.A., Vu, N.P. (eds.) MMMS 2020. LNME, pp. 991–999. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-69610-8_131

    Chapter  Google Scholar 

  15. My, C.A., Cong, N.V., Hong, N.M., Bohez, E.L.: Transformation of CAM data for 5-axis CNC machine spinner U5–620. Int. J. Mech. Eng. Robot. Res. 9(2) (2020)

    Google Scholar 

  16. My, C.A., et al.: Mechanical Design and Dynamics Modelling of RoPC Robot, pp. 92–96. In: Proceedings of International Symposium on Robotics and Mechatronics, Hanoi, Vietnam (2009)

    Google Scholar 

  17. My, C.A.: Inverse dynamic of a N-links manipulator mounted on a wheeled mobile robot. In: 2013 International Conference on Control, Automation and Information Sciences (ICCAIS), pp. 164–170. IEEE (2013)

    Google Scholar 

  18. My, C.A., et al.: A novel mathematical approach for finite element formulation of flexible robot dynamics. Mech. Based Des. Struct. Mach. 1–21 (2020)

    Google Scholar 

  19. My, C.A., Makhanov, S.S., Van, N.A., Duc, V.M.: Modeling and computation of real-time applied torques and non-holonomic constraint forces/moment, and optimal design of wheels for an autonomous security robot tracking a moving target. Math. Comput. Simul. 170, 300–315 (2020)

    Article  MathSciNet  Google Scholar 

  20. Toai, T.T., Chu, D.-H., My, C.A.: Development of a new 6 DOFs welding robotic system for a specialized application. In: Balas, V.E., Solanki, V.K., Kumar, R. (eds.) Further Advances in Internet of Things in Biomedical and Cyber Physical Systems. ISRL, vol. 193, pp. 135–150. Springer, Cham (2021). https://doi.org/10.1007/978-3-030-57835-0_11

    Chapter  Google Scholar 

Download references

Acknowledgement

This work was supported by the Research Foundation of Le Quy Don Technical University. This work was funded by Gia Lam Urban Development and Investment Company Limited, Vingroup and supported by Vingroup Innovation Foundation (VINIF) under project code VINIF.2019.DA08.

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

My, C.A. et al. (2022). General Approach for Parameterization of the Inverse Dynamic Equation for Industrial Robot and 5-axis CNC Machine. In: Khang, N.V., Hoang, N.Q., Ceccarelli, M. (eds) Advances in Asian Mechanism and Machine Science. ASIAN MMS 2021. Mechanisms and Machine Science, vol 113. Springer, Cham. https://doi.org/10.1007/978-3-030-91892-7_41

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-91892-7_41

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-91891-0

  • Online ISBN: 978-3-030-91892-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics