Metamorphic mechanisms form a class of mechanisms that has the facilities to change configuration from one kind to another with a resultant change in the number of effective links and mobility of movement. This paper develops formal matrix operations to describe the distinct topology of configurations found in a metamorphic mechanism and to complete transformation between them. A new way is hence introduced for modeling topological changes of metamorphic mechanisms in general. It introduces a new elimination E-elementary matrix together with a U-elementary matrix to form an EU-elementary matrix operation to produce the configuration transformation. The use of these matrix operations is demonstrated in both spherical and spatial metamorphic mechanisms, the mechanistic models taken from the industrial packaging operations of carton folding manipulation that stimulated this study.
Skip Nav Destination
e-mail: jian.dai@kcl.ac.uk
Article navigation
July 2005
Technical Briefs
Matrix Representation of Topological Changes in Metamorphic Mechanisms
Jian S. Dai,
Jian S. Dai
Department of Mechanical Engineering, School of Physical Sciences and Engineering, King’s College London,
e-mail: jian.dai@kcl.ac.uk
University of London
, Strand, London WC2R 2LS, UK
Search for other works by this author on:
John Rees Jones
John Rees Jones
Search for other works by this author on:
Jian S. Dai
Department of Mechanical Engineering, School of Physical Sciences and Engineering, King’s College London,
University of London
, Strand, London WC2R 2LS, UKe-mail: jian.dai@kcl.ac.uk
John Rees Jones
J. Mech. Des. Jul 2005, 127(4): 837-840 (4 pages)
Published Online: July 24, 2004
Article history
Received:
January 12, 2004
Revised:
July 24, 2004
Citation
Dai, J. S., and Jones, J. R. (July 24, 2004). "Matrix Representation of Topological Changes in Metamorphic Mechanisms." ASME. J. Mech. Des. July 2005; 127(4): 837–840. https://doi.org/10.1115/1.1866159
Download citation file:
Get Email Alerts
Related Articles
Position Analysis in Analytical Form of the 3-PSP Mechanism
J. Mech. Des (March,2001)
Geometric Design of Linkages
J. Mech. Des (December,2000)
Determination of Singularity-Free Zones in the Workspace of Planar 3 - P ̱ RR Parallel Mechanisms
J. Mech. Des (June,2007)
Product Life-Cycle Modeling and Evaluation at the Conceptual Design Stage: A Digraph and Matrix Approach
J. Mech. Des (September,2010)
Related Proceedings Papers
Related Chapters
Multilevel Optimization for Enterprise-Driven Decision-Based Product Design
Decision Making in Engineering Design
Systematic Enablers for Advanced Product Design Support
Advances in Computers and Information in Engineering Research, Volume 1
Concurrent Product Design and Assembly Sequence Planning: A Comprehensive Framework
Advances in Computers and Information in Engineering Research, Volume 1