Order rectification for complex number based burmester curves

Thomas R Chase, W. E. Fang

Research output: Contribution to conferencePaperpeer-review

1 Scopus citations


A new solution to the order rectification problem for dyad synthesis is presented. The method identifies dyads from a set of Burmester curves that will enable continuous rotation of the driving crank of a four bar linkage, or other planar linkage including a dyad synthesized for motion generation, in a single direction when passing through four precision positions in sequence. Although order rectification procedures are available for graphical or algebraic generation of Burmester curves, no equivalent has previously been available for complex number based Burmester curve algorithms. The exact loci of dyads that will produce continuous crank rotations are determined by analyzing the angular motion of the compatibility linkage. The order rectification procedure is stated in a summary form that is readily codifiable. An example of applying the procedure to an actual set of four precision positions is provided. The theory underlying the procedure is developed.

Original languageEnglish (US)
Number of pages12
StatePublished - 1988
EventTrends and Developments in Mechanisms, Machines, and Robotics - 1988 - Kissimmee, FL, USA
Duration: Sep 25 1988Sep 28 1988


OtherTrends and Developments in Mechanisms, Machines, and Robotics - 1988
CityKissimmee, FL, USA


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