Joint Force Analysis and Moment Efficiency Index of Cable-Driven Rehabilitation Devices

Cable-driven rehabilitation devices (CDRDs) have been studied by many researchers in the past decade. While a CDRD rotates a human joint by generating an assistant moment about the axis of the joint, it also creates a resultant force acting on the joint as long as the assistant moment is nonzero. Such a joint force may cause excessive joint wear or even break the joint if it exceeds a threshold. Thus, it is critical to analyze not only the assistant moment generated by a CDRD to rotate the joint, but also the joint force to have a safe and effective rehabilitation training. This paper studies how a CDRD with three degrees of freedom (DOFs) and four cables exerts a joint force on a general three-DOF human joint. The kinematics and dynamics models of the CDRD are established and the joint force needed to provide the assistant moment is derived mathematically at first. Then, an index to evaluate the efficiency of a CDRD in providing assistant moment (i.e., moment efficiency) is proposed. Lastly, a case study of the flexion and extension of the knee assisted by a CDRD is presented to demonstrate the derivation of the joint force and the usage of the moment efficiency index. The moment efficiency index not only promotes the safety of rehabilitation training, but also provides a guideline for the design of CDRDs.

[1]  George K. I. Mann,et al.  Developments in hardware systems of active upper-limb exoskeleton robots: A review , 2016, Robotics Auton. Syst..

[2]  Hamid D. Taghirad,et al.  Robust PID control of fully-constrained cable driven parallel robots , 2014 .

[3]  Luis Amezquita-Brooks,et al.  Towards a standard design model for quad-rotors: A review of current models, their accuracy and a novel simplified model , 2017 .

[4]  Gert Kwakkel,et al.  KNGF Clinical Practice Guideline for Physical Therapy in Patients with Stroke. , 2008 .

[5]  Robert D. Howe,et al.  Design considerations for an active soft orthotic system for shoulder rehabilitation , 2011, 2011 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[6]  Sunil Kumar Agrawal,et al.  On the Force-Closure Analysis of n-DOF Cable-Driven Open Chains Based on Reciprocal Screw Theory , 2012, IEEE Transactions on Robotics.

[7]  Marc Gouttefarde,et al.  Stiffness Matrix of 6-DOF Cable-Driven Parallel Robots and Its Homogenization , 2014 .

[8]  Sunil K. Agrawal,et al.  Dynamic Modeling of Cable-Driven Parallel Manipulators With Distributed Mass Flexible Cables , 2015 .

[9]  Erika Ottaviano,et al.  A Study on the Effects of Cable Mass and Elasticity in Cable-Based Parallel Manipulators , 2010 .

[10]  J. Fung,et al.  Effects of robot-assisted therapy on stroke rehabilitation in upper limbs: systematic review and meta-analysis of the literature. , 2012, Journal of rehabilitation research and development.

[11]  Francisco J. Badesa,et al.  Pneumatic robotic systems for upper limb rehabilitation , 2011, Medical & Biological Engineering & Computing.

[12]  Robert D. Howe,et al.  Wearable soft robotic device for post-stroke shoulder rehabilitation: Identifying misalignments , 2012, 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems.

[13]  S. Leonhardt,et al.  A survey on robotic devices for upper limb rehabilitation , 2014, Journal of NeuroEngineering and Rehabilitation.

[14]  Jianhua Wang,et al.  Note: Model-based identification method of a cable-driven wearable device for arm rehabilitation. , 2015, The Review of scientific instruments.

[15]  Ou Ma,et al.  Dynamics analysis of a cable-driven parallel manipulator for hardware-in-the-loop dynamic simulation , 2005, Proceedings, 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics..

[16]  Radhika Nagpal,et al.  Design and control of a bio-inspired soft wearable robotic device for ankle–foot rehabilitation , 2014, Bioinspiration & biomimetics.

[17]  Xin Jin,et al.  Design of a cable-driven active leg exoskeleton (C-ALEX) and gait training experiments with human subjects , 2015, 2015 IEEE International Conference on Robotics and Automation (ICRA).

[18]  R. J. Poole,et al.  Aircraft Dynamics: From Modeling to Simulation , M. R. Napolitano, John Wiley and Sons, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, UK. 2012. 706pp. Illustrated. £49.99. ISBN 978-0-470-62667-2. , 2012, The Aeronautical Journal (1968).

[19]  Sunil Kumar Agrawal,et al.  Wearable cable-driven upper arm exoskeleton - motion with transmitted joint force and moment minimization , 2010, 2010 IEEE International Conference on Robotics and Automation.

[20]  Sheng Quan Xie,et al.  Kinematic design optimization of a parallel ankle rehabilitation robot using modified genetic algorithm , 2009, Robotics Auton. Syst..

[21]  Koji Ikuta,et al.  Safety Evaluation Method of Design and Control for Human-Care Robots , 2003, Int. J. Robotics Res..

[22]  Jianhua Wang,et al.  A cable-driven wrist robotic rehabilitator using a novel torque-field controller for human motion training. , 2015, The Review of scientific instruments.

[23]  Ou Ma,et al.  A method of verifying force-closure condition for general cable manipulators with seven cables , 2007 .

[24]  R.F. Beer,et al.  Development of the MACARM - a novel cable robot for upper limb neurorehabilitation , 2005, 9th International Conference on Rehabilitation Robotics, 2005. ICORR 2005..

[25]  Hao Xiong,et al.  The effect of cable tensions on the stiffness of cable-driven parallel manipulators , 2017, 2017 IEEE International Conference on Advanced Intelligent Mechatronics (AIM).

[26]  Hao Xiong,et al.  Cable tension control of cable-driven parallel manipulators with position-controlling actuators , 2017, 2017 IEEE International Conference on Robotics and Biomimetics (ROBIO).

[27]  M. Molinari,et al.  Rehabilitation of gait after stroke: a review towards a top-down approach , 2011, Journal of NeuroEngineering and Rehabilitation.

[28]  Robert J. Wood,et al.  A soft wearable robotic device for active knee motions using flat pneumatic artificial muscles , 2014, 2014 IEEE International Conference on Robotics and Automation (ICRA).

[29]  Sunil Kumar Agrawal,et al.  Design of a Cable-Driven Arm Exoskeleton (CAREX) for Neural Rehabilitation , 2012, IEEE Transactions on Robotics.