Abstract
A study of the effect of including redundant actuators on the existence of force-unconstrained configurations for a planar parallel layout of joints is presented. The 3-branch, revolute-jointed, 8-bar configuration is considered in detail. This layout is referred to as a 3-RRR configuration to denote its three branches and the number of joints per branch. Concepts of reciprocal screw quantities and kinematic geometry are used to determine the feasibility of the existence of force-unconstrained positions. Redundant actuation is discussed from the perspective of eliminating families of degeneracies. For the 3-RRR it is shown that one order of infinity of unconstrained configurations is eliminated for each actuator, beyond three, added.
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