Hostname: page-component-76fb5796d-dfsvx Total loading time: 0 Render date: 2024-04-29T19:04:26.905Z Has data issue: false hasContentIssue false

Parameters optimization and trajectory planning of a novel 3-UPU parallel mechanism for ankle rehabilitation

Published online by Cambridge University Press:  31 August 2023

Xuechan Chen
Affiliation:
School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, China. Parallel Robot and Mechatronic System Laboratory of Hebei Province, Yanshan University, Qinhuangdao, Hebei, China.
Yu Guo
Affiliation:
School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, China. Parallel Robot and Mechatronic System Laboratory of Hebei Province, Yanshan University, Qinhuangdao, Hebei, China.
Chao Xin
Affiliation:
School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, China. Parallel Robot and Mechatronic System Laboratory of Hebei Province, Yanshan University, Qinhuangdao, Hebei, China.
Chaoyang Ji
Affiliation:
School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, China. Parallel Robot and Mechatronic System Laboratory of Hebei Province, Yanshan University, Qinhuangdao, Hebei, China.
Jianxun Fan
Affiliation:
School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, China. Parallel Robot and Mechatronic System Laboratory of Hebei Province, Yanshan University, Qinhuangdao, Hebei, China.
Ziming Chen*
Affiliation:
School of Mechanical Engineering, Yanshan University, Qinhuangdao, Hebei, China. Parallel Robot and Mechatronic System Laboratory of Hebei Province, Yanshan University, Qinhuangdao, Hebei, China.
*
Corresponding author: Ziming Chen; Email: chenzm@ysu.edu.cn

Abstract

Ankle rehabilitation robots are widely used due to nerve injuries and sports injuries leading to decreased mobility of the ankle joint. However, the motion of most ankle rehabilitation robots has distinctions with human ankle physiological structure. In order to achieve more accurate rehabilitation training of the ankle joint, this paper proposes a novel 3-UPU parallel rehabilitation mechanism. In a certain range, the mechanism can perform rotation around any axis within the midplane, which means that the mechanism can achieve non-fixed-point rotation around the instantaneous axis of the ankle joint. The mechanism has three degrees of freedom and can perform ankle pronation/supination and inversion/eversion movements. Taking into account the structural differences of different human bodies, the rotating axis of the mechanism can be adjusted in both height and angle. Then, the workspace of the mechanism was solved, and the size parameters of the mechanism are analyzed based on the characteristics of the size parameters of the mechanism and the motion range of the ankle. A genetic algorithm was employed to optimize the mechanism’s parameters. Next, the motion trajectory of the mechanism was planned, and the length change of the mechanism driving pair during the motion planning of the angle was obtained through kinematics simulation. Finally, experimental verification of the above rehabilitation training methods indicates that the mechanism meets the requirements of ankle rehabilitation.

Type
Research Article
Copyright
© The Author(s), 2023. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Carney, D. D., Vyas, P. S., Hicks, J. J., Johnson, J. E., McCormick, J. J., Klein, S. E. and Backus, J. D., “Effect of postoperative immobilization time on PROMIS scores and clinical outcomes in ankle fracture patients,” Foot Ankle Orthop. 8(1), 24730114221151080 (2023).CrossRefGoogle ScholarPubMed
Li, F., Adrien, N. and He, Y., “Biomechanical risks associated with foot and ankle injuries in ballet dancers: A systematic review,” Int. J. Environ. Res. Public Health 19(8), 4916 (2022).CrossRefGoogle ScholarPubMed
Qiao, Y., Zhang, B. and Zhang, L., “The effect of comprehensive rehabilitation nursing on the rehabilitation of sports-induced ankle joint injuries,” Emerg. Med. Int. 33(08), 4004965 (2022).Google Scholar
Shah, M. N., Basah, S. N., Basaruddin, K. S., Takemura, H., Yeap, E. J. and Lim, C. C., “Ankle Injury Rehabilitation Robot (AIRR): Review of strengths and opportunities based on a SWOT (strengths, weaknesses, opportunities, threats) analysis,” Machines 10(11), 1031 (2022).CrossRefGoogle Scholar
Lin, C.-C. K., Ju, M. S., Chen, S.-M. and Pan, B., “A specialized robot for ankle rehabilitation and evaluation,” J. Med. Biol. Eng. 28(2), 7986 (2008).Google Scholar
Saglia, J. A., Tsagarakis, N. G., Dai, J. S. and Caldwell, D. G., “Control Strategies for Ankle Rehabilitation Using a High Performance Ankle Exerciser,” In: International Conference on Robotics and Automation (IEEE, 2010) pp. 22212227.Google Scholar
Agrawal, A., Banala, S., Sangwan, V., Agrawal, S. and Binder-Macleod, S., “Design of a novel two degree-of-freedom ankle-foot orthosis,” J. Mech. Des. 129(11), 11371143 (2007).CrossRefGoogle Scholar
Chang, T.-C. and Zhang, X.-D., “Kinematics and reliable analysis of decoupled parallel mechanism for ankle rehabilitation,” Microelectron. Reliab. 99(2), 203212 (2019).CrossRefGoogle Scholar
Jamwal, P. K., Xie, S. Q. and Aw, K. C., “Kinematic design optimization of a parallel ankle rehabilitation robot using modified genetic algorithm,” Robot. Auton. Syst. 57(10), 10181027 (2019).CrossRefGoogle Scholar
Wang, C., Fang, Y., Guo, S. and Chen, Y., “Design and kinematical performance analysis of a 3-RUS/RRR redundantly actuated parallel mechanism for ankle rehabilitation,” J. Mech. Robot. 5(4), 041003 (2013).CrossRefGoogle Scholar
Congzhe, W., Yuefa, F. and Sheng, G., “Multi-objective optimization of a parallel ankle rehabilitation robot using modified differential evolution algorithm,” Chin. J. Mech. Eng. 28(4), 14 (2015).Google Scholar
Du, Y., Li, R., Li, D. and Bai, S., “An ankle rehabilitation robot based on 3-RRS spherical parallel mechanism,” Adv. Mech. Eng. 9(8), 168781401771811 (2017).CrossRefGoogle Scholar
Yoon, J., Ryu, J. and Lim, K. B., “Reconfigurable ankle rehabilitation robot for various exercises,” J. Field Robot. 22(S1), S15S33 (2010).Google Scholar
Chen, G., Zhou, H. and Yang, P., “Force/position control strategy of 3-PRS ankle rehabilitation robot,” Int. J. Innov. Comput. Inf. Control 16(2), 481494 (2020).Google Scholar
Zeng, D., Wu, H., Zhao, X., Lu, W. and Luo, X., “A new type of ankle-foot rehabilitation robot based on muscle motor,” IEEE Access 8(4), 215915215927 (2020).CrossRefGoogle Scholar
Dul, J. and Johnson, G. E., “A kinematic model of the human ankle,” J. Biomed. Eng. 7(2), 137143 (1985).CrossRefGoogle ScholarPubMed
Delp, S. L., Anderson, F. C., Arnold, A. S., Loan, P., Habib, A., John, C. T., Guendelman, E. and Thelen, D. G., “OpenSim: Open-source software to create and analyze dynamic simulations of movement,” IEEE Trans. Biomed. Eng. 54(11), 19401950 (2007).CrossRefGoogle ScholarPubMed
Chenglei, L., Jianjun, Z., Kaicheng, Q., Jianye, N., Weimin, L. and Shijie, G., “Synthesis of generalized spherical parallel manipulations for ankle rehabilitation,” J. Mech. Eng. 56(19), 79 (2020).CrossRefGoogle Scholar
Liu, X., Zhang, J., Liu, C., Niu, J., Qi, K. and Guo, S., “Kinematics analysis and scale optimization of four degree of freedom generalized spherical parallel mechanism for ankle joint rehabilitation,” Sheng Wu Yi Xue Gong Cheng Xue Za Zhi 38(2), 286294 (2021).Google ScholarPubMed
Jianjun, Z., Chenglei, L., Teng, L., Kaicheng, Q., Jianye, N. and Shijie, G., “Module combination based configuration synthesis and kinematic analysis of generalized spherical parallel mechanism for ankle rehabilitation,” Mech. Mach. Theory 166(4), 104436 (2021).Google Scholar
Vallés, M., Cazalilla, J., Valera, Á., Mata, V., Page, Á. and Díaz-Rodríguez, M., “A 3-PRS parallel manipulator for ankle rehabilitation: Towards a low-cost robotic rehabilitation,” Robotica 35(10), 19391957 (2017).CrossRefGoogle Scholar
Barnett, C. H. and Napier, J., “The axis of rotation at the ankle joint in man; its influence upon the form of the talus and the mobility of the fibula,” J. Anat. 86(4), 19 (1952).Google ScholarPubMed
Hicks, J. H., “The mechanics of the foot. IV. The action of muscles on the foot in standing,” Acta Anat. 27(3), 180192 (1956).CrossRefGoogle ScholarPubMed
Bottlang, M., Marsh, J. L. and Brown, T. D., “Articulated external fixation of the ankle: Minimizing motion resistance by accurate axis alignment,” J. Biomech. 32(1), 6370 (1999).CrossRefGoogle ScholarPubMed
Engsberg, J. and Andrews, J., “Kinematic analysis of the talocalcaneal/talocrural joint during running support,” Med. Sci. Sports Exerc. 19(3), 275284 (1987).CrossRefGoogle ScholarPubMed
Leardini, A., O’connor, J. J. and Catani, F., “Kinematics of the human ankle complex in passive flexion; a single degree of freedom system,” J. Biomech. 32(2), 111118 (1999).CrossRefGoogle ScholarPubMed
Lundberg, A., Goldie, I. and Kalin, B., “Kinematics of the ankle/foot complex: Plantarflexion and dorsiflexion,” Foot Ankle 9(4), 194200 (1989).CrossRefGoogle ScholarPubMed
Lundberg, A., Svensson, O. K. and Németh, G., “The axis of rotation of the ankle joint,” J. Bone Joint Surg. Br. 71(1), 9499 (1989).CrossRefGoogle ScholarPubMed
Rasmussen, O. and Tovborg-Jensen, I., “Mobility of the ankle joint: Recording of rotatory movements in the talocrural joint in vitro with and without the lateral collateral ligaments of the ankle,” Acta. Orthop. Scand. 53(1), 155160 (1982).CrossRefGoogle ScholarPubMed
Siegler, S., Chen, J. and Schneck, C. D., “The three-dimensional kinematics and flexibility characteristics of the human ankle and subtalar joints–Part I: Kinematics,” J. Biomech. Eng. 110(4), 364373 (1988).CrossRefGoogle ScholarPubMed
Thoma, W., Scale, D. and Kurth, A., “Computer-assisted analysis of the kinematics of the upper ankle joint,” Ztschrift Für Orthopdie Und Ihre Grenzgebiete 131(1), 14 (1993).CrossRefGoogle ScholarPubMed
van Langelaan, E. J., “A kinematical analysis of the tarsal joints. An X-ray photogrammetric study,” Acta Orthop. Scand. Suppl. 204(1), 1269 (1983).Google ScholarPubMed
Neumann, D. A., “Kinesiology of the musculoskeletal system: Foundations for rehabilitation,” Acta Orthop. Scand. 32(3), 244287 (2010).Google Scholar
Leardini, A., Stagni, R. and O’Connor, J. J., “Mobility of the subtalar joint in the intact ankle complex,” J. Biomech. 34(6), 805809 (2001).CrossRefGoogle ScholarPubMed
Alvarez-Perez, M. G., Garcia-Murillo, M. A. and Cervantes-Sanchez, J. J., “Robot-assisted ankle rehabilitation: A review,” Disabil. Rehabil. Assist. Technol. 14(1), 115 (2019).Google Scholar
Ortega, A. B., Bautista, R. and Vela Valdes, G., “Control of a virtual prototype of an ankle rehabilitation machine,” Revista Facultad de Ingenieria 67(2), 183196 (2013).Google Scholar
Zhao, C., Chen, Z. and Li, Y. W., “Motion characteristics analysis of a novel 2R1T 3-UPU parallel mechanism,” J. Mech. Des. 142(1), 115 (2019).Google Scholar
Chen, Z., Cheng, D. and Zhang, Y., “Influence Coefficients and Singularity Analysis of a Novel 3-UPU Parallel Mechanism,” Disabil. Rehabil. Assist. Technol. 41(5), 18 (2017).Google Scholar
Chen, Z., Zhang, Y. and Huang, K., “Symmetrical 2R1T parallel mechanism without parasitic motion,” J. Mech. Eng. 52(3), 917 (2016).CrossRefGoogle Scholar
Jamwal, P. K., Hussain, S. and Xie, S. Q., “Three-stage design analysis and multicriteria optimization of a parallel ankle rehabilitation robot using genetic algorithm,” IEEE Trans. Autom. Sci. Eng. 12(4), 14331446 (2015).CrossRefGoogle Scholar
Rakhodaei, H., Saadat, M. and Rastegarpanah, A., “Path planning of the hybrid parallel robot for ankle rehabilitation,” Robotica 34(1), 173184 (2016).CrossRefGoogle Scholar