Kinematic Analysis of Mechanisms Using Motor Algebra and Graph Theory
Michisuke Jo and Tomoyoshi Sasaki
Department of Systems Engineering, Faculty of Engineering, lbaraki University, 4-12-1 Nakanarusawa-cho, Hitachi-shi, 316-8511 Japan
Received:May 6, 1998Accepted:August 6, 1998Published:December 20, 1998
Keywords:Motor algebra, Link-pair graph, Kinemalic analysis, Closed loop, Pair-loop matrix, Robot trajectory generation
The Kathri-Rao product of the circuit and pair-motor matrixes gives an exhaustive criterion of mechanism DOF. The pair-loop matrix with driving conditions determines relative angular velocities. Integration yields relative displacement angles, then transformed into a relative transformation matrix superposed on a tree path to determine absolute link and pair axis movement. We then show results of motion simulation including robot trajectory generation.
Cite this article as:M. Jo and T. Sasaki, “Kinematic Analysis of Mechanisms Using Motor Algebra and Graph Theory,” J. Robot. Mechatron., Vol.10 No.6, pp. 464-474, 1998.Data files: