Sensitive dependence of the motion of a legged robot on granular media. Li, C., Umbanhowar, P., B., Komsuoglu, H., Koditschek, D., E., & Goldman, D., I. Proceedings of the National Academy of Sciences, 106(9):3029-3034, 2009.
Paper
Website abstract bibtex Legged locomotion on flowing ground (e.g., granular media) is unlike locomotion on hard ground because feet experience both solid- and fluid-like forces during surface penetration. Recent bioinspired legged robots display speed relative to body size on hard ground comparable with high-performing organisms like cockroaches but suffer significant performance loss on flowing materials like sand. In laboratory experiments, we study the performance (speed) of a small (2.3 kg) 6-legged robot, SandBot, as it runs on a bed of granular media (1-mm poppy seeds). For an alternating tripod gait on the granular bed, standard gait control parameters achieve speeds at best 2 orders of magnitude smaller than the 2 body lengths/s (approximately 60 cm/s) for motion on hard ground. However, empirical adjustment of these control parameters away from the hard ground settings restores good performance, yielding top speeds of 30 cm/s. Robot speed depends sensitively on the packing fraction phi and the limb frequency omega, and a dramatic transition from rotary walking to slow swimming occurs when phi becomes small enough and/or omega large enough. We propose a kinematic model of the rotary walking mode based on generic features of penetration and slip of a curved limb in granular media. The model captures the dependence of robot speed on limb frequency and the transition between walking and swimming modes but highlights the need for a deeper understanding of the physics of granular media.
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title = {Sensitive dependence of the motion of a legged robot on granular media},
type = {article},
year = {2009},
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keywords = {* bioinspired robotics,* locomotion on complex terrain,* robotic gait,* sand,* volume fraction},
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abstract = {Legged locomotion on flowing ground (e.g., granular media) is unlike locomotion on hard ground because feet experience both solid- and fluid-like forces during surface penetration. Recent bioinspired legged robots display speed relative to body size on hard ground comparable with high-performing organisms like cockroaches but suffer significant performance loss on flowing materials like sand. In laboratory experiments, we study the performance (speed) of a small (2.3 kg) 6-legged robot, SandBot, as it runs on a bed of granular media (1-mm poppy seeds). For an alternating tripod gait on the granular bed, standard gait control parameters achieve speeds at best 2 orders of magnitude smaller than the 2 body lengths/s (approximately 60 cm/s) for motion on hard ground. However, empirical adjustment of these control parameters away from the hard ground settings restores good performance, yielding top speeds of 30 cm/s. Robot speed depends sensitively on the packing fraction phi and the limb frequency omega, and a dramatic transition from rotary walking to slow swimming occurs when phi becomes small enough and/or omega large enough. We propose a kinematic model of the rotary walking mode based on generic features of penetration and slip of a curved limb in granular media. The model captures the dependence of robot speed on limb frequency and the transition between walking and swimming modes but highlights the need for a deeper understanding of the physics of granular media.},
bibtype = {article},
author = {Li, Chen and Umbanhowar, Paul B and Komsuoglu, Haldun and Koditschek, Daniel E and Goldman, Daniel I},
journal = {Proceedings of the National Academy of Sciences},
number = {9}
}
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