Skip to main content

Analysis of the Motion Mode Change of a Metamorphic 8R Linkage

  • Conference paper
  • First Online:
Advances in Reconfigurable Mechanisms and Robots II

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 36))

Abstract

By definition, metamorphic mechanisms can change their mobility. This change can be achieved by actively locking certain elements, or can be due to the inherent kinematics of the linkage. In the latter case the mobility is altered when passing through configuration space singularities. In a recent development, these two phenomena are combined. As such it was shown that a single-loop 8R linkage, possessing certain symmetry, turns into an overconstrained 6R linkage by only locking one joint while another joint is then implicitly constrained. This phenomenon has been analyzed by means of a first-order analysis in terms of instantaneous joint screw system. Thereupon the metamorphism was concluded and verified experimentally. An analytic proof was not yet provided. In this paper finite kinematics of the metamorphic 8R linkage is established and its ability to change to a 6R linkage by means of locking only one joint is shown analytically. The presented methodology is general and applicable to arbitrary mechanisms. It does provides a basis for the analysis and eventually the synthesis of novel metamorphic mechanisms.

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 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
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. Dai, J.S., Rees Jones, J.: Mobility in metamorphic mechanisms of foldable/erectable kinds. ASME J. Mech. Des. 12(3), 375–382 (1999)

    Article  Google Scholar 

  2. Zhang, K., Dai, J.S.: A Kirigami-inspired 8R linkage and its evolved overconstrained 6R linkages with the rotational symmetry of order two. ASME J. Mech. Rob. 6(2), 021007 (2014)

    Article  Google Scholar 

  3. Zhang, K., Dai, J.S.: Trifurcation of the evolved Sarrus-motion linkage based on parametric constraints. Adv. Robot Kinematics 345–353 (2014)

    Google Scholar 

  4. Müller, A., Rico, J.M.: Mobility and higher order local analysis of the configuration space of single-loop mechanisms. In: Lenarcic, J.J., Wenger, P. (eds.) Advances in Robot Kinematics, pp. 215–224. Springer, Berlin (2008)

    Google Scholar 

  5. Müller, A.: Local analysis of closed-loop linkages—mobility, singularities, and shakiness, IDETC 2015, paper number DETC2015-47485

    Google Scholar 

  6. Müller, A.: Higher derivatives of the kinematic mapping and some applications. Mech. Mach. Theory 76, 70–85 (2014)

    Article  Google Scholar 

  7. Müller, A.: Derivatives of screw systems in body-fixed representation. In: Lenarcic, J., Khatib, O. (eds.) Advances in Robot Kinematics (ARK), pp. 123–130. Springer, Berlin (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Müller .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Müller, A., Zhang, K., Dai, J.S. (2016). Analysis of the Motion Mode Change of a Metamorphic 8R Linkage. In: Ding, X., Kong, X., Dai, J. (eds) Advances in Reconfigurable Mechanisms and Robots II. Mechanisms and Machine Science, vol 36. Springer, Cham. https://doi.org/10.1007/978-3-319-23327-7_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-23327-7_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23326-0

  • Online ISBN: 978-3-319-23327-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics