Inverse kinematics and workspace analysis of a cable-driven parallel robot with a spring spine

Abstract We present a cable-driven flexible parallel robot with low motion noise to mimic a human neck in this paper. The fixed base and moving platform of the robot are connected by three cables and a compression spring. The spring serves as the cervical spine to support and facilitate the motion of moving platform corresponding to human head. The cables serve as the muscles around the human neck to drive the robot. Due to the flexible compression spring, we cannot solve the inverse kinematics directly. As shown in this paper, it should be combined with the statics for possible solutions. Based on the inverse kinematics and statics analysis, we optimize the cable placements to minimize the actuation force. Moreover, the workspace of the robot is analyzed with the constraint of positive cable tension. Simulations were performed and demonstrated the correctness and feasibility of the inverse kinematics and workspace analysis of the parallel robot. The approach presented in this paper can be extended to other parallel robots with a flexible compression spring.

[1]  Weina Lu,et al.  Cable-driven elastic parallel humanoid head with face tracking for Autism Spectrum Disorder interventions , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.

[2]  S. Timoshenko.  Theory of Elastic Stability , 1936 .

[3]  M. Carricato,et al.  Real solutions of the direct geometrico-static problem of under-constrained cable-driven parallel robots with 3 cables: a numerical investigation , 2012 .

[4]  Marco Ceccarelli,et al.  Collision free path-planning for cable-driven parallel robots , 2009, Robotics Auton. Syst..

[5]  Guilin Yang,et al.  Workspace analysis and optimal design of cable-driven planar parallel manipulators , 2004, IEEE Conference on Robotics, Automation and Mechatronics, 2004..

[6]  Marco Ceccarelli,et al.  Stiffness analysis of biped humanoid robot WABIAN-RIV , 2006 .

[7]  Richard Verhoeven,et al.  Analysis of the Workspace of Tendon-based Stewart Platforms , 2004 .

[8]  Bryan C. Heiderscheit,et al.  Annual Frequency and Magnitude of Neck Motion in Healthy Individuals , 2008, Spine.

[9]  B. Y. Duan,et al.  Dynamic modeling and active control of a cable-suspended parallel robot , 2008 .

[10]  Bin Zi,et al.  Inverse Kinematics and Singularity Analysis for a 3-DOF Hybrid-Driven Cable-Suspended Parallel Robot , 2012 .

[11]  Jing Xu,et al.  Combined Inverse Kinematic and Static Analysis and Optimal Design of a Cable-Driven Mechanism with a Spring Spine , 2012, Adv. Robotics.

[12]  Tamim Asfour,et al.  Toward humanoid manipulation in human-centred environments , 2008, Robotics Auton. Syst..

[13]  G. Gogu.  Mobility of mechanisms: a critical review , 2005 .

[14]  Yi Yang,et al.  Workspace analysis of a novel 6-dof cable-driven parallel robot , 2009, 2009 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[15]  Giulio Sandini,et al.  Machine-learning based control of a human-like tendon-driven neck , 2010, 2010 IEEE International Conference on Robotics and Automation.

[16]  Mustafa Shabbir Kurbanhusen,et al.  Force-closure workspace analysis of cable-driven parallel mechanisms , 2006 .

[17]  Yantao Shen,et al.  Development of a low motion-noise humanoid neck: Statics analysis and experimental validation , 2010, 2010 IEEE International Conference on Robotics and Automation.

[18]  Giulio Sandini,et al.  Accurate control of a human-like tendon-driven neck , 2007, 2007 7th IEEE-RAS International Conference on Humanoid Robots.

[19]  W. Gander,et al.  Adaptive Quadrature—Revisited , 2000 .

[20]  Jing Xu,et al.  A Humanoid Neck System Featuring Low Motion-Noise , 2012, J. Intell. Robotic Syst..

[21]  James S. Albus,et al.  The NIST robocrane , 1993, J. Field Robotics.

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

[23]  Tatsuya Hirahara,et al.  An acoustical tele-presence robot: TeleHead II , 2004, 2004 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (IEEE Cat. No.04CH37566).

[24]  Manohar M. Panjabi,et al.  Clinical Biomechanics of the Spine , 1978 .

[25]  Clément Gosselin,et al.  Kinematic Analysis and Optimization of a New Three Degree-of-Freedom Spatial Parallel Manipulator , 2000 .

[26]  Manfred Hiller,et al.  On design of a redundant wire-driven parallel robot WARP manipulator , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[27]  Gaurav S. Sukhatme,et al.  Design and Implementation of NIMS3D, a 3-D Cabled Robot for Actuated Sensing Applications , 2009, IEEE Transactions on Robotics.

[28]  Jun-Ho Oh,et al.  Control hardware integration of a biped humanoid robot with an android head , 2008, Robotics Auton. Syst..

[29]  Amir Khajepour,et al.  Optimization of Actuator Forces in Cable-Based Parallel Manipulators Using Convex Analysis , 2008, IEEE Transactions on Robotics.

[30]  Hideyuki Ando,et al.  Application of a multi-DOF ultrasonic servomotor in an auditory tele-existence robot , 2005, IEEE Transactions on Robotics.

[31]  Kikuo Fujimura,et al.  The intelligent ASIMO: system overview and integration , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[32]  Jean-Pierre Merlet,et al.  Stability Analysis of Underconstrained Cable-Driven Parallel Robots , 2013, IEEE Transactions on Robotics.

[33]  Juyang Weng,et al.  Dav: a humanoid robot platform for autonomous mental development , 2002, Proceedings 2nd International Conference on Development and Learning. ICDL 2002.

[34]  Imme Ebert-Uphoff,et al.  A stability measure for underconstrained cable-driven robots , 2004, IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004.

[35]  Hirochika Inoue,et al.  Humanoid robotics platforms developed in HRP , 2004, Robotics Auton. Syst..

[36]  Clément Gosselin,et al.  Analysis of the wrench-closure workspace of planar parallel cable-driven mechanisms , 2006, IEEE Transactions on Robotics.

[37]  Saeed Behzadipour,et al.  Cable-based Robot Manipulators with Translational Degrees of Freedom , 2006 .