Skip to main content

Free Motion of a Rigid-Body Robot Arm

  • Chapter
Dynamics of Robots with Contact Tasks

Abstract

This chapter considers the problems of dynamics assuming that robot links are infinitely rigid. The discussion starts with relevant ideas from the theory of mechanisms (kinematic pairs and chains, degrees of freedom, etc.) and then defines the parameters that describe the robot link geometry. Kinematics and dynamics concern free motion of the robot arm. Dynamic model of the robot chain is expanded by introducing the actuator dynamics and elastodynamics of the transmission system. Finally, some issues of control are elaborated.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Yu. Stepanenko, “Method of Analysis of Spatial Lever Mechanisms”, (in Russian), Mekhanika Mashin, Vol. 23, Moscow, 1970.

    Google Scholar 

  2. M. Vukobratovic, Yu. Stepanenko, “Mathematical Models of General Anthropo-morphic Systems”, Math. Biosciences, Vol. 17, pp. 191–242, 1973.

    Article  MATH  Google Scholar 

  3. J. Denavit, R. S. Hartenberg, “A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices”, J. Applied Mechanics, pp. 215–221, June 1955.

    Google Scholar 

  4. M. Vukobratovic, V. Potkonjak, Scientific Fundamentals of Robotics, Vol. 1: Dynamics of Manipulation Robots, Springer-Verlag, 1982.

    Book  Google Scholar 

  5. M. Vukobratovic, V. Potkonjak, Scientific Fundamentals of Robotics, Vol. 6: Applied Dynamics and CAD of Manipulation Robots, Springer-Verlag, 1985.

    Book  Google Scholar 

  6. M. Vukobratovic, D. Stokic, Scientific Fundamentals of Robotics, Vol. 2: Control of Manipulation Robots, Springer-Verlag, 1982.

    Book  Google Scholar 

  7. M. Vukobratovic, Applied Dynamics of Manipulation Robots: Modeling, Analysis and Examples, Springer-Verlag, 1989.

    Book  Google Scholar 

  8. V. Potkonjak, “Contribution to the Dynamics and Control of Robots Having Elastic Transmissions”, Robotica, Vol. 6, pp. 63–69, 1988.

    Article  Google Scholar 

  9. N. Kircanski, A. Timchenko, M. Vukobratovic, “Position Control of Robot Manipulators with Elastic Joints Using Force Feedback”, Journal of Robotic Systems, Vol. 7, pp. 535–545, 1990.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Vukobratovic, M., Potkonjak, V., Matijevic, V. (2003). Free Motion of a Rigid-Body Robot Arm. In: Dynamics of Robots with Contact Tasks. International Series on Microprocessor-Based and Intelligent Systems Engineering, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0397-0_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-0397-0_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6515-5

  • Online ISBN: 978-94-017-0397-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics