DAVIES, T.H., 2007. Simple examples of dual coupling networks. IN: Merlet, J.-P. and Dahan, M. (eds.). Twelfth World Congress in Mechanism and Machine Science, IFToMM, Besançon, France, June 17-21.
Most mechanisms are both
underconstrained and overconstrained. The motions
attributable to underconstraint can be seen so that they
are easily imagined from a drawing whereas actions
attributable to overconstraint cannot. Dual coupling
networks have the property that the action and motion
systems of one are transposed in the other. So, by finding
the dual of a mechanism, actions attributable to
overconstraint become motions in its dual that can be
imagined. Earlier work cited explains the methodology
and validates the theory mathematically: this paper
provides some simple examples.
This is a conference paper. It is also available at: http://18.104.22.168/proceedings/WorldCongress07/index.htm