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Kinematic Analysis of Mechanisms Using Motor Algebra and Graph Theory
Author(s) -
Michisuke JO,
Tomoyoshi Sasaki
Publication year - 1998
Publication title -
journal of robotics and mechatronics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 19
eISSN - 1883-8049
pISSN - 0915-3942
DOI - 10.20965/jrm.1998.p0464
Subject(s) - kinematics , displacement (psychology) , control theory (sociology) , angular displacement , transformation matrix , matrix (chemical analysis) , angular velocity , mathematics , computer science , physics , topology (electrical circuits) , classical mechanics , geometry , combinatorics , artificial intelligence , psychology , control (management) , materials science , composite material , psychotherapist
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.

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