Abstract
Passive dynamic walking has been developed as a possible explanation for the efficiency of the human gait. This paper presents a passive dynamic walking model with segmented feet, which makes the bipedal walking gait more close to natural human-like gait. The proposed model extends the simplest walking model with the addition of flat feet and torsional spring based compliance on ankle joints and toe joints, to achieve stable walking on a slope driven by gravity. The push-off phase includes foot rotations around the toe joint and around the toe tip, which shows a great resemblance to human normal walking. This paper investigates the effects of the segmented foot structure on bipedal walking in simulations. The model achieves satisfactory walking results on even or uneven slopes.
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Carson, M. C., Harrington, M. E., Thompson, N., et al.: Kinematic analysis of a multi-segment foot model for research and clinical applications: a repeatability analysis. J. Biomech. 34, 1299–1307 (2001)
MacWilliams, B. A., Cowley, M., Nicholson, D. E.: Foot kinematics and kinetics during adolescent gait. Gait and Posture. 17, 214–224 (2003)
Myers, K. A., Wang, M., Marks, R. M., et al.: Validation of a multisegment foot and ankle kinematic model for pediatric gait. IEEE Trans. Neur. Sys. Reh. 12(1), 122–130 (2004)
Okita, N., Meyers, S. A., Challis, J. H., et al.: An objective evaluation of a segmented foot model. Gait and Posture. 30, 27–34 (2009)
Nishiwaki, K., Kagami, S., Kuniyoshi, Y., et al.: Toe joints that enhance bipedal and fullbody motion of humanoid robots. In: Proceedings of the 2002 IEEE International Conference on Robotics & Automation, Washington DC, America, 3105–3110 (2002)
Sellaouti, R., Stasse, O., Kajita, S., et al.: Faster and smoother walking of humanoid HRP-2 with passive toe joints. In: Proceedings of the 2006 IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China, 4909–4914 (2006)
Yamamoto, K., Sugihara, T., Nakamura, Y.: Toe joint mechanism using parallel four-bar linkage enabling humanlike multiple support at toe pad and toe tip. In: Proceedings of the IEEE-RAS 7th International Conference on Humanoid Robots, Fukuoka, Japan, 410–415 (2007)
Hirai, K., Hirose, M., Haikawa, Y., et al.: The development of the Honda humanoid robot. In: Proceedings of IEEE International Conference on Robotics and Automation, Leuven, Belgium, 1321–1326 (1998)
McGeer, T.: Passive dynamic walking. Int. J. Robot. Res. 9, 68–82 (1990)
Garcia, M., Chatterjee, A., Ruina, A., et al.: The simplest walking model: stability, complexity, and scaling. ASME J. Biomech. Eng. 120, 281–288 (1998)
Collins, S., Wisse, M., Ruina, A.: A three-dimensional passivedynamic walking robot with two legs and knees. Int. J. Robot. Res. 20, 607–615 (2001)
Collins, S., Ruina, A. Tedrake, R., et al.: Efficient bipedal robots based on passive-dynamic walkers. Science. 307, 1082–1085 (2005)
Kwan, M., Hubbard, M.: Optimal foot shape for a passive dynamic biped. J. Theor. Biol. 248, 331–339 (2007)
Hobbelen, D. G. E., Wisse, M.: Ankle actuation for limit cycle walkers. Int. J. Robot. Res. 27, 709–735 (2008)
Wang, Q., Huang, Y., Wang, L.: Passive dynamic walking with flat feet and ankle compliance. Robotica. 28, 413–425 (2010)
Wang, Q., Huang, Y., Zhu, J., et al.: Effects of foot shape on energetic efficiency and dynamic stability of passive dynamic biped with upper body. Int. J. Human. Robot. 7(2), 1–18 (2010)
Huang, Y., Wang Q., Chen B., et al.: Modeling and gait selection of passivity-based seven-link bipeds with dynamic series, Robotica. 30, 39–51 (2012)
Kumar, R. P., Yoon, J., Christiand, et al.: The simplest passive dynamic walking model with toed feet: a parametric study. Robotica. 27, 701–703 (2009)
Ker, R. F., Alexander, R., Mc N., Bennett, M. B.: Why are mammalian tendons so thick? J. Zool. London. 216, 309–324 (1988)
Weiss, P. L., Kearney, R. E., Hunter, I.W.: Position dependence of ankle joint dynamicsłI. Passive mechanics. J. Biomech. 19(9), 727–735 (1986)
Weiss, P. L., Kearney, R. E., Hunter, I.W.: Position dependence of ankle joint dynamicsłII. Active mechanics. J. Biomech. 19(9), 737–751 (1986)
Frigo, C., Crenna, P., Jensen, L. M.: Moment-angle relationship at lower limb joints during human walking at different velocities. J. Electromyogr. Kinesiol. 6(3), 177–190 (1996)
Huang, Y., Chen, B., Wang, Q., et al.: Effects of segmented feet on energetic efficiency of passive dynamic walking. In: Proceedings of the 13th International Conference on Climbing and Walking Robots, Nagoya, Japan (2010)
Huang, Y., Chen, B., Wang, Q., et al.: Adding segmented feet to passive dynamic walkers. In: Proceedings of IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Montreal, Canada (2010)
Kuo, A. D.: A simple model of bipedal walking predicts the preferred speedCstep length relationship. J. Biomech. Eng. 123, 264–269 (2001)
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The project was supported by the National Natural Science Foundation of China (61005082, 61020106005), Doctoral Fund of Ministry of Education of China (20100001120005), PKU-Biomedical Engineering Join Seed Grant 2012 and the 985 Project of Peking University (3J0865600).
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Huang, Y., Wang, QN., Gao, Y. et al. Modeling and analysis of passive dynamic bipedal walking with segmented feet and compliant joints. Acta Mech Sin 28, 1457–1465 (2012). https://doi.org/10.1007/s10409-012-0079-6
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DOI: https://doi.org/10.1007/s10409-012-0079-6