Ha. Attia, FORMULATION OF THE EQUATIONS OF MOTION OF RRRR ROBOT MANIPULATOR, Transactions of the Canadian Society for Mechanical Engineering, 22(1), 1998, pp. 83-93
In this paper the dynamic analysis of RRRR robot manipulator is presen
ted. The equations of motion are formulated using a two-step transform
ation. Initially, a dynamically equivalent system of particles that re
places the rigid bodies is constructed and then Newton's second law is
applied to derive their equations of motion. The equations of motion
are then transformed to the relative joint variables. Use of both Cart
esian and joint variables produces an efficient set of equations witho
ut loss of generality. For open chains, this process automatically eli
minates all of the non-working constraint forces and leads to an effic
ient solution and integration of the equations of motion. The results
of the simulation indicate the simplicity and generality of the dynami
c formulations.