Jamming and wedging in constrained rigid-body dynamics

It is well known that the introduction of Coulomb friction in rigid-body dynamics can lead to problems of existence and uniqueness in the forward equations. In this paper, it is shown that these problems relate to jamming and wedging. Separate conditions for jamming and wedging are provided in the three common formulations of constrained systems. These conditions are illustrated with examples.<<ETX>>

[1]  Pierre E. Dupont,et al.  The effect of Coulomb friction on the existence and uniqueness of the forward dynamics problem , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[2]  Daniel E. Whitney,et al.  Quasi-Static Assembly of Compliantly Supported Rigid Parts , 1982 .

[3]  Yu Wang,et al.  On the inconsistency of rigid-body frictional planar mechanics , 1988, Proceedings. 1988 IEEE International Conference on Robotics and Automation.

[4]  Andrew A. Goldenberg,et al.  An approach to force and position control of robot manipulators , 1989, Proceedings, 1989 International Conference on Robotics and Automation.

[5]  Yin-Tien Wang,et al.  Dynamics of rigid bodies undergoing multiple frictional contacts , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[6]  Pierre E. Dupont EXISTENCE AND UNIQUENESS OF RIGID-BODY DYNAMICS WITH COULOMB FRICTION , 1993 .

[7]  Lilong Cai,et al.  A new approach to force and position control of robot manipulators , 1989, Proceedings. ICCON IEEE International Conference on Control and Applications.

[8]  V. T. Rajan,et al.  Dynamics of a rigid body in frictional contact with rigid walls: Motion in two dimensions , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[9]  Peter C. Müller,et al.  A General Reduced Dynamic Model For Control And Simulation Of Constrained Robots , 1992, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems.

[10]  Per Lötstedt Coulomb Friction in Two-Dimensional Rigid Body Systems , 1981 .

[11]  É. Delassus Sur les lois du frottement de glissement , 1923 .