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Technical Report NC-TR-00-062
Dimensional
Synthesis of Planar Stephenson-Mechanisms for Motion Generation by
Circlepoint Search and Homotopy Methods
K. Meer, B. Schmitt, H. Schreiber
Abstract
The kinematic synthesis of Stephenson-mechanisms for motion generation
is often based on specifying arbitrary values for certain kinematic
dimensions. If no appropriate values are known an inadequate choice
can make it impossible to find a good mechanism. Here a synthesis-method
is presented where kinematic dimensions \emph{can} be chosen a priori
(to meet side-conditions, e.\,g. a limited area for the loci of the
fixed pivots), but don't \emph{have to} be chosen. A circlepoint search
in combination with homotopy methods will be applied. Concerning the
homotopy methods two approaches -- via the B\'ezout-number and the
BKK-bound -- will be compared.
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