A Unifying Framework for Classification and Interpretation of Mechanism Singularities

Author:

Zlatanov D.1,Fenton R. G.1,Benhabib B.1

Affiliation:

1. Computer Integrated Manufacturing Laboratory, Department of Mechanical Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 1A4

Abstract

This paper presents a generalized approach to the singularity analysis of mechanisms with arbitrary kinematic chains and an equal number of inputs and outputs. The instantaneous kinematics of a mechanism is described by means of a velocity equation, explicitly including not only the input and output velocities but also the passive-joint velocities. A precise definition of singularity of a general mechanism is provided. On the basis of the six types of singular configurations and the motion space interpretation of kinematic singularity introduced in the paper, a comprehensive singularity classification is proposed.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference19 articles.

1. Agrawal, S. K., 1990, “Rate Kinematics of In-parallel Manipulator Systems,” Proc. of the IEEE Int. Conf. on Robotics and Automation, Vol. 1, pp. 104–109.

2. Burdick, J. W., 1991, “A Classification of 3R Regional Manipulator Singularities and Geometries,” Proc. of the IEEE Int. Conf. on Robotics and Automation, pp. 2670–2675.

3. Collins, C. L., and Long, G. L., 1994, “Line Geometry and the Singularity Analysis of an In-parallel Hand Controller for Force Reflected Teleoperation,” ASME 23rd Mechanisms Conf., DE-Vol. 72, pp. 361–369.

4. Davies T. H. , 1981, “Kirchhoff Circulation Law Applied to Multi-loop Kinematic Chains,” Mech. and Mach. Theory, Vol. 16, pp. 171–183.

5. Freudenstein F. , 1962, “On the Variety of Motions Generated by Mechanisms,” ASME Journal of Engineering for Industry, Vol. 84, pp. 156–160.

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