Dynamic Performance Limitations Due to Yielding in Cable-Driven Robotic Manipulators

This paper presents a method for characterizing the performance limitations imposed by the yielding of the cables in systems with cable-driven transmissions. The method involves developing a rigid-body model of the system, where the cable tensions are considered as reaction forces. The kinematic coupling between links in the mechanism due to the use of cables is also considered. Here, the limitations on dynamic performance caused by cable yielding are added to the limitations caused by the bounds on actuator torque capacity, in order to give a more comprehensive description of the system's capabilities. A two degrees-of-freedom planar mechanism is analyzed in order to illustrate the methodology.

[1]  Oussama Khatib,et al.  The dynamic capability equations: a new tool for analyzing robotic manipulator performance , 2005, IEEE Transactions on Robotics.

[2]  John Kenneth Salisbury,et al.  A New Actuation Approach for Human Friendly Robot Design , 2004, Int. J. Robotics Res..

[3]  C. Gosselin,et al.  Determination of the Dynamic Workspace of Cable-Driven Planar Parallel Mechanisms , 2005 .

[4]  Satoshi Tadokoro,et al.  A parallel cable-driven motion base for virtual acceleration , 2001, Proceedings 2001 IEEE/RSJ International Conference on Intelligent Robots and Systems. Expanding the Societal Role of Robotics in the the Next Millennium (Cat. No.01CH37180).

[5]  Steven R. Schmid,et al.  Fundamentals of Machine Elements , 1999 .

[6]  A. Mendelson Plasticity: Theory and Application , 1968 .

[7]  Munsang Kim,et al.  Kinematic analysis and design of a 6 DOF haptic master for teleoperation of a mobile manipulator , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[8]  L. Austin,et al.  Theoretical Modeling of Wire Dynamics and Failure Modes During Manufacture on a Double Twist Machine , 2003 .

[9]  A. J. Shashaty The Reduction of Capstan Effectiveness by Cable Bending Resistance , 1981 .

[10]  Stephen C. Jacobsen,et al.  The UTAH/M.I.T. Dextrous Hand: Work in Progress , 1984 .

[11]  Lung-Wen Tsai,et al.  The Structural Synthesis of Tendon-Driven Manipulators Having a Pseudotriangular Structure Matrix , 1991, Int. J. Robotics Res..

[12]  L. W. Tsai,et al.  Robot Analysis: The Mechanics of Serial and Parallel Ma-nipulators , 1999 .

[13]  William Townsend,et al.  Teleoperator slave ‐ WAM design methodology , 1999 .

[14]  John M. Hollerbach,et al.  An investigation of the transmission system of a tendon driven robot hand , 1994, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'94).

[15]  J. Kenneth Salisbury,et al.  Articulated Hands , 1982 .

[16]  Aki Mikkola,et al.  A Non-Incremental Nonlinear Finite Element Solution for Cable Problems , 2003 .

[17]  Dana R. Yoerger,et al.  Study of Dominant Performance Characteristics in Robot Transmissions , 1993 .

[18]  Sunil K. Agrawal,et al.  Cable suspended robots: design, planning and control , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[19]  Claudio Melchiorri,et al.  Mechatronic design of innovative fingers for anthropomorphic robot hands , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[20]  Claudio Melchiorri,et al.  A performance index for under-actuated, multi-wire, haptic interfaces , 1998, Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146).

[21]  Jami J. Shah,et al.  Complex Modal Analysis of a Flat Belt Pulley System With Belt Damping and Coulomb-Damped Tensioner , 1994 .

[22]  Joseph Edward Shigley,et al.  Mechanical engineering design , 1972 .

[23]  Elena R. Messina,et al.  Design and workspace analysis of a 6–6 cable-suspended parallel robot , 2004 .

[24]  So-Ryeok Oh,et al.  Cable-suspended planar parallel robots with redundant cables: controllers with positive cable tensions , 2003, 2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422).

[25]  Christopher D. Rahn,et al.  Design of Continuous Backbone, Cable-Driven Robots , 2002 .

[26]  Paolo Dario,et al.  The Cyberhand: on the design of a cybernetic prosthetic hand intended to be interfaced to the peripheral nervous system , 2003, Proceedings 2003 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2003) (Cat. No.03CH37453).

[27]  Jigar Vadia Planar Cable Direct Driven Robot: Hardware Implementation , 2003 .

[28]  C. R. Johnstun,et al.  Modeling and Design of a Mechanical Tendon Actuation System , 1992 .

[29]  Gabriele Vassura,et al.  A novel approach to mechanical design of articulated fingers for robotic hands , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[30]  Dennis W. Hong,et al.  A Method for Representing the Configuration and Analyzing the Motion of Complex Cable-Pulley Systems , 2003 .

[31]  Wei-Jung Shiang,et al.  Dynamic analysis of the cable array robotic crane , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).