T. Kakizaki et al., MODELING THE SPATIAL DYNAMICS OF ROBOTIC MANIPULATORS WITH FLEXIBLE LINKS AND JOINT CLEARANCES, Journal of mechnical design, 115(4), 1993, pp. 839-847
A dynamic modeling method is presented for spatial elastic manipulator
s that can account for a number of their realistic properties, includi
ng bearing clearances, actuator dynamics, and control system character
istics. Forces in the bearing clearances are modeled by nonlinear func
tions of the links' relative motions and the internal geometry of the
connection, or by experimentally measured properties. A detailed model
is given for a revolute connection with radial and axial clearances.
Results obtained for a SCARA manipulator show that the combined dynami
c effects of bearing clearances, link elasticity, and control system c
haracteristics can significantly degrade the system's performance.