Kd. Chaney et Jk. Davidson, A SYNTHESIS METHOD FOR PLACING WORKPIECES IN RPR PLANAR ROBOTIC WORKCELLS, Journal of mechnical design, 120(2), 1998, pp. 262-268
A new method is used for determining both a satisfactory location of a
workpiece and a suitable mounting-angle of the tool for planar RPR ro
bots that can provide dexterous workspace. All three joints of the rob
ot have excursion-limits that bound their displacement. For the purpos
es of this paper, the third joint, a revolute, permits exactly one ful
l turn. Successful locations for the workpiece are those places where
the rotations at each task-axis and the third joint are synchronized.
For a fixed mounting angle of the tool, the radial location and orient
ation of the workpiece are determined by just two 2 pi-rotations of th
e tool. When the mounting-angle of the tool is also a variable, the to
ol can be rotated a fill turn at three locations on the workpiece. The
method is particularly,cell suited to applications in which the task
requires large rotations of the end-effector. The results a,are presen
ted as coordinates of points in a two-dimensional Cartesian reference
frame attached to the workcell. Consequently, a technician or an engin
eer can determine the location for the workpiece by laying out these c
oordinates directly in the workcell. Example problems illustrate the m
ethod. Practical applications include welding and deposition of adhesi
ves.