Feasibility studies of kinematics problems in the case of a class of redundant manipulators

Author:

Sasaki Shinobu

Abstract

SummaryLately, there have been numerous applications of computer algebra to special functions used in the various field of science and engineering. In this paper, we consider an efficient algorithm which generates velocity Jacobians for any class of general serial link manipulators in a compact form throughout the effective use of frame transformations. Compared with conventional techniques, a marked improvement of that capability is found in computer algebra applications to one class of a seven-joint manipulator. Together with finding of explicit solutions for joint rates, closed form arm solutions for the desired position of the hand are presented by relating the rotational motion of the elbow to a geometry problem.

Publisher

Cambridge University Press (CUP)

Subject

Computer Science Applications,General Mathematics,Software,Control and Systems Engineering

Reference14 articles.

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2. 8. Burdick J. W. , “On the Inverse Kinematics of Redundant Manipulators: Characterization of the Self-Motion Manifolds” IEEE Int. Conf. Robotics and Automation (1989) pp. 264–270.

3. Efficient Computation of the Jacobian for Robot Manipulators

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