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Graphical Method for Singularity Analysis of Planar Parallel Manipulators

Alon Wolf, Amir Degani

In order to identify singular configurations of planar parallel manipulators (PPM) a new graphical method, which is based on Maxwell’s Reciprocal Theory, is explored. Screw theory and line geometry tools are used to form a new graphical construction called the Mechanism’s Line of Action Graph (MLG). The configurations where the MLG has a corresponding connected reciprocal figure imply a singularity type-II of the manipulator. This singularity analysis tool is also used to trace the singularity loci of the PPM.

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