Type Synthesis of Reconfigurable Parallel Mechanisms for Ankle Rehabilitation with Completely Decoupled Actuated Limb

doi:10.3901/JME.2022.19.045

Abstract

Abstract: Reconfigurable ankle rehabilitation parallel mechanisms with three rehabilitation motion modes are proposed in terms of the movement requirements of rehabilitation for ankle sprain in the anterior-middle-posterior periods within 6-12 weeks after surgery. First, according to the axis motion characteristics of tibiotalar joint and subtalar joint, the motion switching principle and double-point characteristic of ankle rehabilitation are investigated, and six LBAs (limbs of the bio-syncretic axis) are given to satisfy the DOF and axis motion characteristics of the ankle joint. Four kinds of unconstrained limbs are enumerated through the selected scheme of the configuration constrained limbs. Second, over-constrain design of six LBAs are carried out based on the screw theory to verify LBAs that meet the practical movement requirements. According to the relationship between the transmission force screw and the motion axes of the platform, a completely decoupling optimization method is proposed, and three unconstrained driving limbs and twelve of mechanism configurations are obtained, which made the mechanism completely decoupled in all three rehabilitation modes. Finally, the correctness of the three limbs of the mechanism and the completely decoupling is verified through ADAMS simulation. Reconfigurable ankle rehabilitation robot is adopted the corresponding rehabilitation modes according to the patient's rehabilitation conditions, with a wider application range, stronger pertinence, and simple control.

Key words: ankle rehabilitation, reconfigurable mechanism, type synthesis, over-constraint design, completely decoupling, limbs of the bio-syncretic axis

CLC Number:

TH112

WEI Jun, JIA Weihan, LIU Chenglei, ZHANG Jianjun, HUANG Haijing, GUO Shijie. Type Synthesis of Reconfigurable Parallel Mechanisms for Ankle Rehabilitation with Completely Decoupled Actuated Limb[J]. Journal of Mechanical Engineering, 2022, 58(19): 45-56.

References

[1] CIOPPA-MOSCA J M，CAHILL J B，TUCKER C Y. Postsurgical rehabilitation guidelines for the orthopedic clinician-e-book[M]. New York:Elsevier Health Sciences，2006.
[2] YOON J，RYU J A. novel reconfigurable ankle/foot rehabilitation robot[C]// Proceedings of the 2005 IEEE International Conference on Robotics and Automation. Barcelona:IEEE，2005:2290-2295.
[3] YOON J W，RYU J H，BYUNG L. Reconfigurable ankle rehabilitation robot for various exercises[J]. Journal of Robotic Systems，2006，22(15):15-33.
[4] ZENG Shilong，YAO Ligang，GUO Xiaoning，et al. Kinematics analysis and verification on the novel reconfigurable ankle rehabilitation robot based on parallel mechanism[J]. Mechanism and Machine Science，2015，24(2):195-202.
[5] LI Yang，YAO Ligang. Mathematical modeling and kinematics analysis for a novel ankle rehabilitation[J]. Mechanism and Machine Science，2016，36(7):571-580.
[6] CALVA-YANEZ M B，NIÑO-SUAREZ P A，PORTILLA-FLORES E A，et al. Reconfigurable mechanical system design for tracking an ankle trajectory using an evolutionary optimization algorithm[J]. IEEE Access，2017，5:5480-5493.
[7] NURAHMI L，CARO S，SOLICHIN M. A novel ankle rehabilitation device based on a reconfigurable 3-RPS parallel manipulator[J]. Mechanism and Machine Theory，2019，134(12):135-150.
[8] 刘承磊，张建军，戚开诚，等. 面向踝部康复的广义球面并联机构型综合[J]. 机械工程学报，2020，56(19):79-91. LIU Chenglei，ZHANG Jianjun，QI Kaicheng，et al. Synthesis of generalized spherical parallel manipulations for ankle rehabilitation[J]. Journal of Mechanical Engineering，2020，56(19):80-91
[9] KONG Xianwen. Reconfiguration analysis of a 3-dof parallel mechanism using euler parameter quaternions and algebraic geometry method[J]. Mechanism and Machine Theory，2014，74(6):188-201.
[10] ZHANG Jianjun，LIU Chenglei，LIU Teng，et al. Module combination based configuration synthesis and kinematic analysis of generalized spherical parallel mechanism for ankle rehabilitation[J]. Mechanism and Machine Theory，2021，166:104436.
[11] 康熙，戴建生. 机构学中机构重构的理论难点与研究进展——变胞机构演变内涵、分岔机理、设计综合及其应用[J]. 中国机械工程，2020，31(1):57-71. KANG Xi，DAI Jiansheng. Theoretical difficulties and research progresses of mechanism reconfiguration mechanisms[J]. China Mechanical Engineering，2020，31(1):57-71.
[12] CHAI Xuheng，DAI Jiansheng. Three novel symmetric Waldron–Bricard metamorphic and reconfigurable mechanisms and their isomerization[J]. Journal of Mechanisms and Robotics，2019，11(5):1-17.
[13] WEI Jun，DAI Jiansheng. Lie group based type synthesis using transformation configuration space for reconfigurable parallel mechanisms with bifurcation between spherical motion and planar motion[J]. Journal of Mechanical Design，2020，142(6):1-41.
[14] SONG Chaoyang，FENG Huijuan，CHEN Yan，et al. Reconfigurable mechanism generated from the network of Bennett linkage[J]. Mechanism and Machine Theory，2015，88:49-62.
[15] 王冰，方跃法. 一种可重构并联机构的几何约束和自由度分析[J]. 机械工程学报，2018，54(7):28-37. WANG Bing，FANG Yuefa. Geometric constraint and mobility analysis of a reconfigurable parallel mechanism[J]. Journal of Mechanical Engineering，2018, 54(7):28-37.
[16] 王冰，方跃法. 基于球面五杆机构的变胞并联机构构型综合[J]. 机械工程学报，2018，54(19):18-26. WANG Bing，FANG Yuefa. Type synthesis of metamorphic parallel mechanism with spherical five bar linkage[J]. Journal of Mechanical Engineering，2018，54(19):18-26.
[17] 杨廷力. 机器人机构拓补结构学[M]. 北京:机械工业社版社，2003. YANG Tingli. Topology structure design of robot mechanisms[M]. Beijing:China Machine Press，2003.
[18] SHEN Huiping，WU Chengqi，CHABLAT D，et al. Topological design of an asymmetric 3-translation parallel mechanism with zero coupling degree and motion decoupling[C]// ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American: ASME，2018:1-8.
[19] 沈惠平，李菊，王振，等. 基于结构降耦和运动解耦的并联机构拓补结构优化及其性能改善[J]. 机械工程学报，2017，53(19):177-185. SHEN Huiping，LI Ju，WANG Zhen，et al. Topology structure optimization and performance improvement for parallel mechanisms based on structure coupling-reducing and motion decoupling[J]. Journal of Mechanical Engineering，2017，53(19):177-185.
[20] 沈惠平，朱小蓉，尹洪波，等. 并联机构的结构降耦原理及其设计方法[J]. 机械工程学报，2016，52(23):103-112. SHEN Huiping，ZHU Xiaorong，YIN Hongbo，et al. Principle and design method for structure coupling-reducing of parallel mechanisms[J]. Journal of Mechanical Engineering，2016，52(23):103-112.
[21] DONALDA N. Kinesiology of the musculoskeletal system foundations for rehabilitation[M]. Beijing: People’s Military Medical Press，2014.
[22] 于靖军，刘凯，孔宪文. 多模式机构研究进展[J]. 机械工程学报，2020，56(19):14-27. YU Jingjun，LIU Kai，KONG Xianwen. State of the art of multi-mode mechanisms[J]. Journal of Mechanical Engineering，2020，56(19):14-27.