0
TECHNICAL BRIEFS

Matrix Representation of Topological Changes in Metamorphic Mechanisms

[+] Author and Article Information
Jian S. Dai1

Department of Mechanical Engineering, School of Physical Sciences and Engineering, King’s College London,  University of London, Strand, London WC2R 2LS, UKjian.dai@kcl.ac.uk

John Rees Jones

Beaumaris Drive, Thingwall, Heswall, Wirral CH61 7XP, UKj.reesjones@zen.co.uk

1

To whom correspondence should be addressed.

J. Mech. Des 127(4), 837-840 (Jul 24, 2004) (4 pages) doi:10.1115/1.1866159 History: Received January 12, 2004; Revised July 24, 2004

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2005 by American Society of Mechanical Engineers
Topics: Mechanisms
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Five-bar spherical metamorphic mechanism

Grahic Jump Location
Figure 2

Configuration state when a five-bar linkage configuration changes to a four-bar linkage configuration

Grahic Jump Location
Figure 3

A spatial mechanism

Grahic Jump Location
Figure 4

Equivalent spatial mechanism superimposed on a carton

Grahic Jump Location
Figure 5

Partially folded carton

Grahic Jump Location
Figure 6

A spherical four-bar linkage with serial kinematic chains

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In