Abstract
Energetic efficiency is a fundamental subject of research in bipedal robot locomotion. In such systems, the collision of the foot with the ground at heel strike is the main cause of energy loss during the gait. In this work, a Lagrangian framework to study the impulsive dynamics of collisions is presented. Based on the inert constraints of this event, a decomposition of the dynamics to the spaces of constrained and admissible motions is introduced. It is used to analyze the energy redistribution at heel strike in circular-feet bipeds. We present results that show the effect of the foot radius and the impact configuration on the energetic cost of walking.
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References
Schiehlen W., Energy-optimal design of walking machines, Multibody Systems Dynamics, Vol. 13, 2005, pp. 129–141.
McGeer T., Passive dynamic walking, Int. J. Robotics Research, Vol. 9(2), 1990, pp. 62–82.
Hirai K., Hirose M., Haikawa Y. and Takenake T., The development of Honda humanoid robot, in Proc. IEEE Int. Conf. Robotics and Automation, Leuven, Belgium, 1998, pp. 1321–1326.
Collins S.H., Wisse M., and Ruina A., A three-dimensional passive-dynamic walking robot with two legs and knees, Int. J. Robotics Research, Vol. 20(7), 2001, pp. 607–615.
Garcia M., Chatterjee A., Ruina A. and Coleman M., The simplest walking model: stability, complexity and scaling, J. Biomechanical Engineering, Vol. 120(2), 1998, pp. 281–288.
Goswami A., Thuilot B., and Espiau B., A study of the passive gait of a compass-like biped robot: symmetry and chaos, Int. J. Robotics Research, Vol. 17(12), 1998, pp. 1282–1301.
Collins S.H., Ruina A., Tedrake R., and Wisse M., Efficient bipedal robots based on passive-dynamic walkers, Science, Vol. 307, 2005, pp. 1082–1085.
Kuo A.D., Energetics of actively powered locomotion using the simplest walking model, J. Biomechanical Engineering, Vol. 124, 2002, pp. 113–120.
Wisse M. and van Frankenhuyzen J., Design and construction of MIKE; a 2-D autonomous biped based on passive dynamic walking, in Proc. Conf. on Adaptive Motion of Animals and Machines, Kyoto, Japan, 2003.
Kövecses J., Piedboeuf J.C., and Lange C., Dynamics modeling and simulation of constrained robotic systems, Trans. Mechatronics, Vol. 8(2), 2003, pp. 165–177.
Modarres Najafabadi S.A., Kövecses J., and Angeles J., Energy analysis and decoupling in three-dimensional impacts of multibody systems, J. Appl. Mech., Vol. 74(5), 2007, {pp. 845–851.}
Pars L.A., A treatise on analytical dynamics, Heinemann, London, England, 1965.
Kövecses J. and Cleghorn W.L., Finite and impulsive motion of constrained mechanical systems via Jourdain’s principle: discrete and hybrid parameter models, Int. J. Non-Linear Mechanics, Vol. 38(6), 2003, pp. 935–956.
Kwan M. and Hubbard M., Optimal foot shape for a passive dynamic biped, J. Theoretical Biol., Vol. 248(2), 2007, pp. 331–339.
Asano F. and Luo Z.W., The effect of semicircular feet on energy dissipation by heel-strike in dynamic biped locomotion, in Proc. IEEE Int. Conf. Robotics and Automation, Rome, Italy, 2007, pp. 3976–3981.
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Font, J.M., Kövecses, J. (2009). Dynamics of Heel Strike in Bipedal Systems with Circular Feet. In: Ceccarelli, M. (eds) Proceedings of EUCOMES 08. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8915-2_55
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DOI: https://doi.org/10.1007/978-1-4020-8915-2_55
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