Articles | Volume 7, issue 1
https://doi.org/10.5194/ms-7-39-2016
https://doi.org/10.5194/ms-7-39-2016
Research article
 | 
09 Feb 2016
Research article |  | 09 Feb 2016

A representation of the configurations and evolution of metamorphic mechanisms

W. Zhang, X. Ding, and J. Liu

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Subject: Mechanisms and Robotics | Techniques and Approaches: Synthesis
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Cited articles

Dai, J. S. and Rees Jones, J.: Mobility in metamorphic mechanisms of foldable/erectable kind, in: Proceedings of the 25th ASME Biennial Mechanisms and Robotics Conference, Baltimore, 1998.
Dai, J. S. and Rees Jones, J.: Matrix representation of topological changes in metamorphic mechanisms, ASME Trans. J. Mech. Design, 127, 610–619, 2005.
Dai, J. S., Ding, X. L., and Zou, H. J.: Fundamentals and categorization of metamorphic mechanisms, Chinese J. Mech. Eng., 41, 7–12, 2005a.
Dai, J. S., Ding, X. L., and Wang, D. L.: Topological changes and the corresponding matrix operations of a spatial metamorphic mechanism, Chinese J. Mech. Eng., 41, 30–35, 2005b.
Herve, J. M.: Translational parallel manipulators with douple planar limbs, Mech. Mach. Theory, 41, 433–455, 2006.
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Short summary
The paper introduces a comprehensive symbolic matrix representation for characterizing the topology of a metamorphic mechanism using general information concerning links and joints. Operations on the matrices of the adjacent configuration mechanisms are defined to construct an origin matrix and joint variation matrices. The representation of the configurations and evolution of metamorphic Mechanisms provides a foundation for the analysis and synthesis of novel metamorphic mechanisms.