Abstract
This chapter presents for the first time a variable revolute joint and a group of reconfigurable and deployable Platonic mechanisms. Structure of the variable revolute joint is presented and demonstrated by its application to the construction of a reconfigurable generic 4R linkage which is capable of converting itself to a planar parallelogram 4R linkage, a spherical 4R linkage and a Bennett linkage. Then, with a two-phase variable revolute joint, a group of reconfigurable and deployable Platonic mechanisms are constructed and mobility of the proposed reconfigurable Platonic mechanisms is investigated by formulating their corresponding constraint matrices. Finally, kinematic characteristics of the proposed mechanisms are illustrated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bricard, R.: Mémoire sur la théorie de l’octaèdre articulé. J. Math. Pure Appl. Liouville 3, 113–148 (1897)
Cui, L., Dai, J. S.: Axis constraint analysis and its resultant 6R double-centered overconstrained mechanisms. ASME J. Mech. Robot. 3(3), 031004 (2011)
Dai, J.S., Rees Jones, J.: Mobility in metamorphic mechanisms of foldable/erectable kinds. Trans. ASME: J. Mech. Des. 121(3), 375–382 (1999)
Dai, J.S.: Matrix representation of topological configuration transformation of metamorphic mechanisms. ASME J. Mech. Des. 127(4), 837–840 (2005)
Dai, J.S.: Finite displacement screw operators with embedded Chasles’ motion. ASME J. Mech. Robot. 4(4), 041002 (2012)
Denavit, J., Hartenberg, R.S.: A kinematic notation for lower pair mechanisms based on matrices. ASME J. Appl. Mech. 22(2), 215–221 (1955)
Gan, D., Dai, J.S., Liao, Q.: Contraint analysis on mobility change of a novel metamorphic parallel mechanism. Mech. Mach. Theory 45, 1864–1876 (2010)
Hunt, K.H.: Kinematic Geometry of Mechanisms. Clarendon Press, Oxford (1978)
Kiper, G., Söylemez, E., Kisisel, A.U.O.: Polyhedral linkages synthesized using cardan motion along radial axes. In: Proceedings of the 12th IFToMM World Congress. Besancon (2007)
Röschel, O.: Möbius mechanisms. In: J. Lenarčič, M. Stanišić (eds.) Advances in Robot Kinematics, pp. 375–382. Kluwer Akademie, London (2000)
Verheyen, H.F.: The complete set of jitterbug transformers and the analysis of their motion. Comput. Math. Appl. 17(1–3), 203–250 (1989)
Wei, G., Dai, J.S.: Synthesis of a family of regular deployable polyhedral mechanisms. In: Lenarčič, J., Husty, M. (eds.) Latest Advances in Robot Kinematics, pp. 123–130. Springer, New York (2012)
Wei, G., Dai, J.S.: An overconstrained eight-bar linkage and its associated fulleroid-like deployable platonic mechanisms. In: 38th Mechanisms and Robotics Conference (2014)
Wei, G., Dai, J.S.: A spatial eight-bar linkage and its association with the deployable platonic mechanisms. ASME J. Mech. Robot. 6(2), 021010 (2014)
Wohlhart, K.: Regular polyhedral linkages. In: Proceedings of the 2nd Workshop on Computational Kinematics, pp. 239–248 (2001)
Yan, H.S., Kuo, C.H.: Topological representations and characteristics of variable kinematic joints. Trans. ASME: J. Mech. Des. 128(2), 384–391 (2006)
Zhang, K., Dai, J.S., Fang, Y.: Topology and constraint analysis of phase change in the metamorphic chain and its evolved mechanism. ASME J. Mech. Des. 132(12), 121001 (2010)
Acknowledgments
The authors gratefully acknowledge the support from the EU 7th Framework Programme TOMSY under grant No.270436, and the support from the National Natural Science Foundation of China (NSFC) under grant No.51175366.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Wei, G., Dai, J.S. (2014). Reconfigurable and Deployable Platonic Mechanisms with a Variable Revolute Joint. In: Lenarčič, J., Khatib, O. (eds) Advances in Robot Kinematics. Springer, Cham. https://doi.org/10.1007/978-3-319-06698-1_50
Download citation
DOI: https://doi.org/10.1007/978-3-319-06698-1_50
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06697-4
Online ISBN: 978-3-319-06698-1
eBook Packages: EngineeringEngineering (R0)