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Dynamics of redundant robots – inverse solutions

Published online by Cambridge University Press:  09 March 2009

Ronald L. Huston
Affiliation:
Department of Mechanical and Industrial Engineering, University of Cincinnati, Cincinnati, Ohio 45221-0072 (USA)
Timothy P. King
Affiliation:
Department of Mechanical and Industrial Engineering, University of Cincinnati, Cincinnati, Ohio 45221-0072 (USA)

Abstract

SUMMARY

The dynamics of “simple, redundant robots” are developed. A “redundant” robot is a robot whose degrees of freedom are greater than those needed to perform a given kinetmatic task. A “simple” robot is a robot with all joints being revolute joints with axes perpendicular or parallel to the arm segments. A general formulation, and a solution algorithm, for the “inverse kinematics problem” for such systems, is presented. The solution is obtained using orthogonal complement arrays which in turn are obtained from a “zero-eigenvalues” algorithm. The paper concludes with an assertion that this solution, called the “natural dynamics solution,” is optimal in that it requires the least energy to drive the robot.

Type
Articles
Copyright
Copyright © Cambridge University Press 1986

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