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Design and kinematic analysis of redundantly actuated parallel mechanisms for ankle rehabilitation

Published online by Cambridge University Press:  03 March 2014

Congzhe Wang ,
Yuefa Fang ,
Sheng Guo  and
Changchun Zhou
Congzhe Wang
Affiliation:
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, P.R. China
Yuefa Fang*
Affiliation:
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, P.R. China
Sheng Guo
Affiliation:
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, P.R. China
Changchun Zhou
Affiliation:
School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, P.R. China
*
*Corresponding author. E-mail: yffang@bjtu.edu.cn
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Summary

In this paper, we present the design of two serial spherical mechanisms to substitute for a single spherical joint that is usually used to connect the platform with the base in three degrees of freedom parallel mechanisms. According to the principle derived from the conceptual design, through using the two serial spherical mechanisms as the constraint limb, several redundantly actuated parallel mechanisms are proposed for ankle rehabilitation. The proposed parallel mechanisms all can perform the rotational movements of the ankle in three directions while at the same time the mechanism center of rotations can match the ankle axes of rotations compared with other multi-degree-of-freedom devices, due to the structural characteristics of the special constraint limb and platform. Two special parallel mechanisms are selected to analyze their kinematical performances, such as workspace, dexterity, singularity, and stiffness, based on the computed Jacobian. The results show that the proposed scheme of actuator redundancy can guarantee that the redundantly actuated parallel mechanisms have no singularity, better dexterity, and stiffness within the prescribed workspace in comparison with the corresponding non-redundant parallel mechanisms. In addition, the proposed mechanisms possess certain reconfigurable capacity based on control strategies or rehabilitation modes to obtain sound performance for completing ankle rehabilitation exercise.

Keywords

Ankle rehabilitationParallel mechanismsActuator redundancySingularityStiffness
Type
Articles
Information
Robotica , Volume 33 , Issue 2 , February 2015 , pp. 366 - 384
Copyright
Copyright © Cambridge University Press 2014 

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References

1.Díaz, I., Gil, J. J. and Sánchez, E., “Lower-limb robotic rehabilitation: literature review and challenges,” J. Robot. 2011, 1–11 (2011).CrossRefGoogle Scholar
2.Blaya, J. A. and Herr, H., “Adaptive control of a variable-impedance ankle-foot orthoses to assist drop-foot gait,” IEEE Trans. Neural Syst. Rehabil. Eng. 12 (1), 24–31 (2004).CrossRefGoogle ScholarPubMed
3.Ferris, D. P., Gordon, K. E., Sawicki, G. S. and Peethambaran, A., “An improved powered ankle-foot orthosis using proportional myoelectric control,” Gait Posture 23, 425–428 (2006).CrossRefGoogle ScholarPubMed
4.Roy, A., Krebs, H. I., Williams, D. J., Bever, C. T., Forrester, L. W., Macko, R. M. and Hogan, N., “Robot-aided neurorehabilitation: A novel robot for ankle re-habilitation,” IEEE Trans. Rob. 25 (3), 569–582 (2009).CrossRefGoogle Scholar
5.Dong, S., Lu, K. Q., Sun, J. Q. and Rudolph, K., “A prototype rehabilitation device with variable resistance and joint motion control,” Med. Eng. Phys. 28 (4), 348–355 (2006).CrossRefGoogle ScholarPubMed
6.Yoon, J. and Ryu, J., “A Novel Reconfigurable Ankle/Foot Rehabilitation Robot,” IEEE International Conference on Robotics and Automation, Barcelona, (Apr. 2005) pp. 2290–2295.Google Scholar
7.Ding, Y., Sivak, M., Weinberg, B., Mavroidis, C. and Holden, M. K., “NUVABAT: Northeastern University Virtual Ankle and Balance Trainer,” IEEE Haptics Symposium, Waltham (Mar. 25–26, 2010) pp. 509–514.Google Scholar
8.Biodex, Dynamometers (2013), http://www.biodex.com/physical-medicine/products/dynamometers/system-4-pro.Google Scholar
9.Girone, M., Burdea, G. and Bouzit, M., “Rutgers ankle orthopedic rehabilitation interface,” Proc. ASMEDSC, 67, 305–312 (1999).Google Scholar
10.Dai, J. S. and Zhao, T., “Sprained ankle physiotherapy based mechanism synthesis and stiffness analysis of a robotic rehabilitation device,” Auton. Robot 16 (2), 207–218 (2004).CrossRefGoogle Scholar
11.Liu, G., Gao, J., Yue, H., Zhang, X. and Lu, G., “Design and Kinematics Analysis of Parallel Robots for Ankle Rehabilitation,” IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing (Oct. 9–15, 2006) pp. 253–258.Google Scholar
12.Saglia, J. A., Tsagarakis, N. G., Dai, J. S. and Caldwell, D. G., “A High Performance 2-Dof Over-Actuated Parallel Mechanism for Ankle Rehabilitation,” IEEE International Conference on Robotics and Automation, Kobe (May 12–17, 2009) pp. 2180–2186.Google Scholar
13.Tsoi, Y. H. and Xie, S. Q., “Design and control of a parallel robot for ankle rehabilitation,” Int. J. Intell. Syst. Technol. Appl. 8, 100–113 (2010).Google Scholar
14.Kidport, Ankle joint and bones, http://www.kidport.com/reflib/science/humanbody/skeletalsystem/Ankle.htm.Google Scholar
15.Sung, E., Slocum, A. H., Ma, R., Bean, J. F. and Culpepper, M. L., “Design of an ankle rehabilitation device using compliant mechanisms,” J. Med. Device 5 (1), 01101–7 (2011).CrossRefGoogle Scholar
16.Dettwyler, M., Stacoff, A., Quervain, I. A. and Stussi, E., “Modelling of ankle joint complex. Reflections with regards to ankle prostheses,” Foot Ankle Surg. 10 (3), 109–119 (2004).CrossRefGoogle Scholar
17.Clavel, R., “Device for the movement and positioning of an element in space,” U.S. Patent, 4976582 (1990).Google Scholar
18.Company, O., Marquet, F. and Pierrot, F., “A new high-speed 4-DOF parallel robot synthesis and modeling issues,” IEEE Trans. Robot. Autom. 19 (3), 411–420 (2003).CrossRefGoogle Scholar
19.Siciliano, B., “The Tricept robot: Inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm,” Robotica 17 (4), 437–445 (1999).CrossRefGoogle Scholar
20.Gosselin, C. M. and Hamel, J., “The Agile Eye: A high –Performance Three-Degree-of-Freedom Camera-Orienting Device,” Proceedings of the IEEE International Conference on Robotics and Automation, San Diego (1994) pp. 781–786.Google Scholar
21.Gallardo-Alvarado, J., Ramirez-Agundis, A., Rojas-Garduno, H. and Arroyo-Ramirez, B., “Kinematics of an asymmetrical three-legged parallel manipulator by means of the screw theory,” Mech. Mach. Theory 45, 1013–1023 (2010).CrossRefGoogle Scholar
22.Merlet, J. P., “Jacobian, manipulability, condition number, and accuracy of parallel robot,” ASME J. Mech. Des. 128 (1), 199–206 (2006).CrossRefGoogle Scholar
23.Saglia, J. A., Dai, J. S. and Caldwell, D. G., “Geometry and kinematic analysis of a redundantly actuated parallel mechanism that eliminates singularities and improves dexterity,” ASME J. Mech. Des. 130 (12), 124501–5 (2008).CrossRefGoogle Scholar
24.Gosselin, C. M. and Angeles, J., “Singularity analysis of closed-loop kinematic chains,” IEEE Trans. Robot. Autom. 6 (3), 281–290 (1990).CrossRefGoogle Scholar
25.Fang, Y. F. and Tsai, L. W., “Structure synthesis of a class of 4-DOF and 5-DOF parallel manipulators with identical limb structures,” Int. J. Rob. Res. 21 (9), 799–810 (2002).CrossRefGoogle Scholar
26.Joshi, S. and Tsai, L. W., “A comparison study of two 3-DOF parallel manipulators: One with three and the other with four supporting limbs,” IEEE Trans. Robot. Autom. 19, 200–209 (2003).CrossRefGoogle Scholar
27.Li, Y. and Xu, Q., “Stiffness analysis for a 3-PUU parallel kinematic machine,” Mech. Mach. Theory 43, 186–200 (2008).CrossRefGoogle Scholar
28.Shin, H., Lee, S., Jeong, J. I. and Kim, J., “Antagonistic stiffness optimization of redundantly actuated parallel manipulators in a predefined workspace,” IEEE/ASME Trans. Mechatronics 18 (3), 1161–1169 (2013).CrossRefGoogle Scholar