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112                                                Robot Dynamics

              We shall use Lagrange’s equation to derive the general robot arm dynamics.
            Let us first get a feel for what is going on by considering some examples.

            EXAMPLE 3.2–1: Dynamics of a Two-Link Polar Arm
               The kinematics for a two-link planar revolute/prismatic (RP) arm are
               given in Example A.2–3. To determine its dynamics examine Figure 3.2.3,
               where the joint-variable and joint-velocity vectors are


                                                                          (1)


            The corresponding generalized force vector is


                                                                          (2)


































                         Figure 3.2.3: Two-link planar RP arm.









            Copyright © 2004 by Marcel Dekker, Inc.
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