Effects of joint dynamics on the dynamic manipulability of geared robot manipulators

Information obtained through the analysis of dynamic manipulability can be useful in the design and control of robotic manipulators. In this paper, we investigate the influences of the joint drive systems on the dynamic manipulability, with special attention to the effects of gear reduction ratios. In order to reflect this influence, a new form of the dynamic manipulability ellipsoid is developed, which includes the gear reduction ratios, and a modified formula is derived for the dynamic manipulability measure. This formula indicates that joint drive dynamics can significantly influence the dynamic manipulability of a robot. The most important effect is that changing the gear reduction ratios modifies the nature of the dynamic manipulability distribution throughout the workspace of the manipulator. Examples of a two-link planar arm and a PUMA 560 robot are presented to illustrate the results.

[1]  C. Melchiorri,et al.  Robot manipulability , 1995, IEEE Trans. Robotics Autom..

[2]  Bonaventure Intercontinental,et al.  ON DECISION AND CONTROL , 1985 .

[3]  Keith L. Doty,et al.  A Theory of Generalized Inverses Applied to Robotics , 1993, Int. J. Robotics Res..

[4]  T. Tarn,et al.  Nonlinear feedback control of PUMA 560 robot arm by computer , 1985, 1985 24th IEEE Conference on Decision and Control.

[5]  Carme Torras Robot control , 1998 .

[6]  Peter I. Corke,et al.  A search for consensus among model parameters reported for the PUMA 560 robot , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[7]  Jie Chen,et al.  A Systematic Methodology for the Dynamic Analysis of Articulated Gear-Mechanisms , 1990 .

[8]  Lung-Wen Tsai,et al.  Kinematic and Dynamic Synthesis of Geared Robotic Mechanisms , 1993 .

[9]  Tsuneo Yoshikawa,et al.  Dynamic manipulability of robot manipulators , 1985, Proceedings. 1985 IEEE International Conference on Robotics and Automation.

[10]  Bruno Siciliano,et al.  Modeling and Control of Robot Manipulators , 1995 .

[11]  A. Laub,et al.  The singular value decomposition: Its computation and some applications , 1980 .

[12]  B. Siciliano,et al.  Influence of gravity on the manipulability ellipsoid for robot arms , 1992 .

[13]  Pasquale Chiacchio,et al.  The dynamic manipulability ellipsoid for redundant manipulators , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[14]  Oussama Khatib,et al.  The explicit dynamic model and inertial parameters of the PUMA 560 arm , 1986, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[15]  Daniel V. Hunt,et al.  Industrial robotics handbook , 1983 .

[16]  Lung-Wen Tsai,et al.  Topological synthesis of articulated gear mechanisms , 1990, IEEE Trans. Robotics Autom..

[17]  A. Jain,et al.  Recursive dynamics for geared robot manipulators , 1990, 29th IEEE Conference on Decision and Control.

[18]  Jorge Angeles,et al.  On the kinematic conditioning of robotic manipulators , 1996, Proceedings of IEEE International Conference on Robotics and Automation.