Dynamic Modeling and Performance Evaluation of a Novel Humanoid Ankle Joint

Journal of Shanghai Jiaotong University (Science) - Tập 27 - Trang 570-578 - 2022
Yanbiao Li1, Ke Chen1, Peng Sun1, Zesheng Wang1
1College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, China

Tóm tắt

Aimed at the problems of design difficulty and weak kinematic performance caused by spherical joint, a novel PRC+PRCR+RR humanoid ankle joint based on the partially decoupled spherical parallel mechanism is proposed. According to screw theory, the degree of freedom and decoupling characteristics of this mechanism are analyzed. Based on Klein formula and virtual work principle, the kinematic expressions of each link and dynamic model are established. The correctness of the dynamic model is verified by combining the virtual prototype software and the ankle pose function obtained by gait planning and Fourier fitting. The workspace of this mechanism is mapped into a two-dimensional polar coordinate system with the azimuth and elevation angles of the spherical coordinate system as parameters. The motion/force transmission index and constraint index of this mechanism are evaluated and expressed in the workspace, showing this mechanism with excellent kinematic characteristics.

Tài liệu tham khảo

ZANG X, LIN Z, SUN X, et al. Biped robot design with variable ankle stiffness [J]. Journal of Mechanics in Medicine and Biology, 2017, 17(7): 1740013. ZHOU Y L, YANG L, XIAO C. Static stiffness property analyses of a novel PRRR+PURU+S spherical parallel humanoid robotic ankle mechanism [J]. China Mechanical Engineering, 2018, 29(5): 531–538 (in Chinese). YANG L, ZHOU Y L, MA Q M. Statics property analyses of a novel spherical parallel humanoid robotic ankle mechanism [J]. China Mechanical Engineering, 2017, 28(7): 835–841 (in Chinese). XU Y L, YANG L, YANG Z Y, et al. Dynamics property analyses of a novel PURU+RR+S spherical parallel humanoid robotic ankle mechanisms [J]. China Mechanical Engineering, 2017, 28(16): 1971–1976 (in Chinese). YU Z W, WANG L Q. Optimal design for biped robot parallel ankle joint [J]. Journal of Mechanical Engineering, 2009, 45(11): 52–57 (in Chinese). BUSCHMANN T, LOHMEIER S, ULBRICH H. Humanoid robot Lola: Design and walking control [J]. Journal of Physiology, 2009, 103(3/4/5): 141–148. LOHMEIER S, BUSCHMANN T, ULBRICH H. System design and control of anthropomorphic walking robot LOLA [J]. IEEE/ASME Transaction on Mechatronics, 2009, 14(6): 658–666. ALFAYAD S, OUEZDOU F B, NAMOUN F. New three DOF ankle mechanism for humanoid robotic application: Modeling, design and realization [C] //2009 IEEE/RSJ International Conference on Intelligent Robots and Systems. St. Louis: IEEE, 2009: 4969–4976. FU J H. Mechanical design and walking simulation of humanoid robot [D]. Shengyang: Northeastern University, 2010 (in Chinese). LUO J W. Research of key technologies of hydraulic actuated biped robot [D]. Harbin: Harbin Institute of Technology, 2014 (in Chinese). ZHANG J Z, GAO F, ZHAO X C, et al. Dynamic analysis and simulation of a 6-degree of freedom parallel earthquake simulator [J]. Journal of Shanghai Jiaotong University, 2011, 45(9): 1263–1268 (in Chinese). CHEN X L, GUO J Y, JIA Y H. Rigid body dynamics modeling and analysis of 3-RRPaR parallel mechanism [J]. Transactions of the Chinese Society for Agricultural Machinery, 2020, 51(6): 404–411 (in Chinese). CHEN Z M, LIU X M, ZHANG Y, et al. Dynamics analysis of a symmetrical 2R1T 3-UPU parallel mechanism [J]. Journal of Mechanical Engineering, 2017, 53(21): 46–53 (in Chinese). DAI J S. Geometrical foundations and screw algebra for mechanisms and robotics [M]. Beijing: China Higher Education Press, 2014 (in Chinese). HUANG Z, ZENG D X. Calculation of freedom in mechanism: Principle and method [M]. Beijing: China Higher Education Press, 2016 (in Chinese). XU Y D, TONG S S, WANG B, et al. Three-branch 2R1T fully-decoupled parallel mechanism with two rotational degrees of freedom [J]. Journal of Machine Design, 2019, 36(5): 25–29 (in Chinese). MURRAY R M, LI Z X, SASTRY S S. A mathematical introduction to robotic manipulation [M]. Boca Raton: CRC Press, 1994. GALLARDO-ALVARADO J, RODRÍGUZE-CASTRO R, DELOSSANTOS-LARA P J. Kinematics and dynamics of a 4-PRUR Schönnies parallel manipulator by means of screw theory and the principle of virtual work [J]. Mechanism and Machine Theory, 2018, 122: 347–360. HAN B, HAN Y Y, XU Y D, et al. Kinematic characteristics and dynamics analysis of the tetrahedral deployable mechanism based on the screw theory [J]. Robot, 2020, 42(1): 21–28 (in Chinese). DUAN J T. Leg structure and driving device design of lightweight humanoid robot [D]. Zhengzhou: Zhengzhou University, 2018 (in Chinese). WANG J S, WU C, LIU X J. Performance evaluation of parallel manipulators: Motion/force transmissibility and its index [J]. Mechanism and Machine Theory, 2010, 45(10): 1462–1476. CHEN X, XIE F G, LIU X J. Evaluation of the maximum value of motion/force transmission power in parallel manipulators [J]. Journal of Mechanical Engineering, 2014, 50(3): 1–9 (in Chinese).