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3.2 Lagrange-Euler Dynamics                                  119

















                                                                          (2)


            with J the inertia of the base link and the force vector

                                                                          (3)


























                          Figure 3.2.5: Three-link cylindrical arm.



            Derivation of Manipulator Dynamics
            We have shown in several examples how to apply Lagrange’s equation to
            compute the dynamical equations of any given robot manipulator. In the
            examples the dynamics we found always had the special form

                                                                      (3.2.16)



            Copyright © 2004 by Marcel Dekker, Inc.
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