CYCLE BASES OF GRAPHS AND APPLICATIONS IN STRUCTURAL MECHANICS

A software package is described which has been developed to symbolically compute the kinematics and dynamics of a robot. The software utilizes MACSYMA, a LISP-based symbolic computer algebra language, to automatically generate closed-form expressions of forward and inverse kinematics solutions, the Jacobian transformation matrix, and the Lagrange-Euler dynamics formulation of a robotic manipulator with N-degree of freedom.