Skip to main content

On the Grand 4R Four-Bar Based Inherently Balanced Linkage Architecture

  • Conference paper
  • First Online:
New Trends in Mechanism and Machine Science

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 43))

Abstract

Force balance is an important feature in high-speed machinery to move fast without base vibrations and in large moving structures to move safely and with minimal effort. Advantageous balanced linkages can be synthesized from inherently balanced linkage architectures, i.e. linkages with solely the essential kinematic relations for balance. The center of mass of such a linkage is in a stationary point in one of the links for all motion. In this paper it is shown that the known 4R four-bar based inherently balanced linkage architecture is only part of the complete or grand 4R four-bar based inherently balanced linkage architecture, which is presented here. It is shown that this architecture comprises all related theories and that they all depend on principal vectors. Also various new balanced linkages are derived.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

References

  1. Burmester, L.: Die brennpunktmechanismen. Zeitschrift für Mathematik und Physik 38, 193–223 and 3 appendices (1893)

    Google Scholar 

  2. Dobrovol’skii, V.V.: On the motion of the center of mass of a four-bar linkage. Mechanisms 3, 233–234 (1968)

    Google Scholar 

  3. Fischer, O.: Theoretische grundlagen für eine Mechanik der lebenden Körper. Teubner, Leipzig (1906)

    MATH  Google Scholar 

  4. Kreutzinger, R.: Über die Bewegung des Schwerpunktes beim Kurbelgetriebe. Getriebetechnik 10(9), 397–398 (1942)

    Google Scholar 

  5. Shchepetil’nikov, V.A.: The determination of the mass centers of mechanisms in connection with the problem of mechanism balancing. Mechanisms 3, 367–389 (1968)

    Google Scholar 

  6. Van der Wijk, V.: Methodology for analysis and synthesis of inherently force and moment-balanced mechanisms—theory and applications (dissertation). University of Twente (free download: http://dx.doi.org/10.3990/1.9789036536301) (2014)

  7. Van der Wijk, V.: Closed-chain principal vector linkages. In: Flores, P., Viadero, F. (eds.) New Trends in Mechanism and Machine Science, vol. 24, pp. 829–837. Springer (2015)

    Google Scholar 

  8. Van der Wijk, V., Herder, J.L.: Inherently balanced 4R four-bar based linkages. In: Lenarc̆ic̆, J., Husty, M. (eds.) Latest Advances in Robot Kinematics, Proceedings of the IFToMM 13th International Symposium on Advances in Robot Kinematics, pp. 309–316. Springer (2012). ISBN 978-94-007-4619-0

    Google Scholar 

  9. Van der Wijk, V., Herder, J.L.: Synthesis method for linkages with center of mass at invariant link point: pantograph based mechanisms. Mech. Mach. Theory 48, 15–28 (2012)

    Google Scholar 

  10. Van der Wijk, V., Herder, J.L., Demeulenaere, B.: Comparison of various dynamic balancing principles regarding additional mass and additional inertia. Mech. Robot. 1(4), 04 1006 (2009)

    Google Scholar 

  11. Van der Wijk, V., Krut, S., Pierrot, F., Herder, J.L.: Design and experimental evaluation of a dynamically balanced redundant planar 4-RRR parallel manipulator. Int. J. Robot. Res. 32(6), 744–759 (2013)

    Google Scholar 

Download references

Acknowledgments

This publication was financially supported by the Niels Stensen Fellowship.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Volkert van der Wijk .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing Switzerland

About this paper

Cite this paper

van der Wijk, V. (2017). On the Grand 4R Four-Bar Based Inherently Balanced Linkage Architecture. In: Wenger, P., Flores, P. (eds) New Trends in Mechanism and Machine Science. Mechanisms and Machine Science, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-319-44156-6_48

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-44156-6_48

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44155-9

  • Online ISBN: 978-3-319-44156-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics