iś budownictwo wodne i geotechnika 2009

[Marian Churchill]

And reduction of puma creeper these expressions with four relations that hold on these partial derivatives.  J -- ,p',jj (5) 4. Formation of the needed partial derivatives, expansion of where (qk * it) is the j t h velocity product in the [q4]vector, and the Coriolis and centrifugal matrix elements in terms of the derivatives, and simplification by combining is the Christoffel symbol. inertia constants as in 2. The number of unique non-zero Christoffel symbols required The first step was carried out with a LISP program.

The rigid bodyassumption;link 6 hasbeenassumed to besymmetric, that isI,% = Zyy; and only the mass moments of inertia are considered,that is I,,, rihanna fenty puma Zyy and Z 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 in [lzaguirre and rihanna puma shoes Paul19851.In the second step of this procedure.

The kinetic energy ma- The reduction of Equation (7) arises from the symmetry oftrix elements are simplified by combining inertia constants that the kineticenergymatrix.Equation ( obtains because the ki-multiply common variable expressions. This is the greatest source netic energy imparted by the velocity of a joint is independent ofof computational efficiency. Looking to the dynamic model of a 3 theconfiguration of thepriorjoints.Equation (9) resultsfromdof puma by rihanna creeper manipulator presented in [Murry and Neuman 19841.

Themotors were mass of thearm. To makethismeasurementourcontrolsys-left installed in linkstwo and three when the inertia of these links tem was configured to command a motor torque proportional towere measured, so the effect of their mass as the supporting links displacement, effecting a torsional spring. By measuring the pe-move is correctly considered. The gyroscopic forces imparted by riod of oscillation of the resultant mass-spring system, the totalthe rotating motor armatures is neglected in the model.

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 fenty puma creepers wires.The link's center of gravity must lie on this axis.The inertiasuspension method of measuring the rotational inertia requires dyadic and center of gravity parameters of link 3 were measuredknowledge of parameters that are easily measured.

Of the link, thelocation of the center of gravity, the distancefromthe wire attachment points to the axis of rotation, the length of Table 4. Link Masses (kilograms; kO.01 1%)the wires, andtheperiod of rotationaloscillation. Theinertiaabout eachaxis is measured by configuring the link to swing Link Massabout that axis. Rotational oscillation is started by twisting andreleasing the link. If one is carefulwhenreleasing the link, it Link 2 17.

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