In this paper, joint torque optimization for multiple cooperating redu
ndant manipulators rigidly handling a common object is considered. Thi
s work focuses on finding the optimal and stable distribution of the o
perational forces of a multiple redundant manipulator system to the in
dividual manipulators. Two joint torque optimization schemes(local joi
nt torque minimization and natural joint motion) are formulated and co
mpared. When a redundant manipulator with its joints free is driven by
its tip, a naturally inducing joint motion can be called 'natural joi
nt motion'. From the simulation results of a system of three cooperati
ng redundant manipulators, the natural joint motion scheme is shown to
be better than the local joint torque minimization scheme with regard
to global torque minimization capability and the resulting stability
of motion. However, in order to guarantee the stability, the null spac
e damping method is required for the both schemes. The effectiveness o
f the null space damping method is demonstrated by simulation. Additio
nally, the condition for the distribution of the operational forces re
quired to drive the given system along a natural joint motion trajecto
ry is addressed.