Which symbolically generates the dynamic model of an puma creepers equations thathold on the derivatives of the kinetic energy matrixarticulatedmechanism.EMDEGemploys Kane's dynamic for- elements.The first two equationsaregeneral;the last two aremulation [Kane 19681, and produced a result comparable in form specific to the PUMA 560. The equations are:and size to that of ARM [Murry and Neuman 1984). Three sirn-plifying assumptions were made for this analysis.

The rigid bodyassumption;link 6 hasbeenassumed to besymmetric, that isI,% = Zyy; and only the mass moments of inertia are considered,that is I,,, Zyy and Z puma rihanna z z . The original output of EMDEG, includ-ing Coriolisand centrifugal terms, required 15,000 multiplicationsand 3,500 additions. This step might also have been performedwith the momentum theorem method used puma fenty in [lzaguirre and Paul19851.In the second step of this procedure.

And the diagonal terms of the inertia dyadic were measured wire to the axis of rotation;with a two wire suspension. 1 is the oscillatiofnrequency in radians per second;The motor and drive mechanism at each joint contributes to is thelength of thesupporting wires.the inertia about that joint an amount puma slides equal to the inertia of therotating pieces magnified by the gear ratio squared. The drivesand reduction gears were not removed from the links.

The tolerance values assigned to calculated parameters were de-With this arrangement a rotational pendulum is created about termined by RMS combination of the tolerance assigned to eachanaxisparallel toand halfwaybetween the suspension wires.The link's center of gravity must lie on this axis.The inertiasuspension method of measuring the rotational inertia requires puma fenty slides dyadic and center of gravity parameters of link 3 were measuredknowledge of parameters that are easily measured.

40is possible to start fundamentalmodeoscillationwithout visi- Link 3 4.80blyexcitingany of the other modes. The relationshipbetween Link 4* 0.82measured properties and rotational inertia is: Link 5* 0.34 Link 6* 0.09 * This method was suggested by Prof. David Powell. Link 3 wiCthomplete LVrist 6.04 Detached Wrist 2.24 * Values derived from external dimensions; f 2 5 % . The positions of the centers of gravity are reported in Table 5. The dimensions rz! ry and rz refer to the x, y and z coordinates 513