Jr. Singh et J. Rastegar, OPTIMAL SYNTHESIS OF ROBOT MANIPULATORS BASED ON GLOBAL KINEMATIC PARAMETERS, Mechanism and machine theory, 30(4), 1995, pp. 569-580
A method to represent and measure the global manipulability of manipul
ators is presented. The method is based on a new concept, referred to
as the global velocity ellipsoid, which represents the global motion m
anipulability or the velocity transmission characteristics of a manipu
lator. The global velocity ellipsoid is obtained by considering a weig
hted distribution of the end-effector position over the workspace of t
he manipulator. Parameters representing the global isotropy and the gl
obal magnitude of the velocity transmission of manipulators are used f
or analyzing and optimizing the kinematic structure of manipulators. T
he extension of the concept to force transmission characteristics and
its utilization for minimizing error propagation and enhancing accurac
y, task placement and planning are discussed. Several examples are pre
sented.