Archibald Gray
Do³±czy³: 11 Sty 2020 Posty: 3
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Wys³any: Sob Sty 11, 2020 04:37 Temat postu: puma shoes |
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And reduction of these expressions with four relations puma shoes 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 puma trainers I,,, 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 puma suede and 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) puma sliders resultsfromdof manipulator presented in [Murry and Neuman 19841.
So the total Measurement of the Motor and Drive Inertiamotor and drive contribution ateach joint was determined by anidentification method. This contribution is considered separately A parameter identificationmethod was used t o learnthefrom the I,, term of the link itself because the motor and drive totalrotationalinertiaateachjoint.Thisinertiaincludes t,heinertia seen through the reduction gear does not contribute to the effective motor and drive inertia and the contribution due .
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 puma uk 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.
To obtain the inertialterms, the wrist links were modeled as thin shells. A tolerance for each direct measurement was established as the measurement was taken.ThetolerancevaluesarederivedMeasurement of Rotational Inertia from the precision or smallestgraduation of the measuring in- strument used, or from the repeatability of the measurement it- The two wire suspension shown in Figure1 was used to mea- self. Thetolerancesarereportedwhere the data are presented. |
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