Prediction of stable walking for a toy that cannot stand
Physical Review E, 2001•APS
Previous experiments [MJ Coleman and A. Ruina, Phys. Rev. Lett. 80, 3658 (1998)] showed
that a gravity-powered toy with no control and that has no statically stable near-standing
configurations can walk stably. We show here that a simple rigid-body statically unstable
mathematical model based loosely on the physical toy can predict stable limit-cycle walking
motions. These calculations add to the repertoire of rigid-body mechanism behaviors as well
as further implicating passive dynamics as a possible contributor to stability of animal …
that a gravity-powered toy with no control and that has no statically stable near-standing
configurations can walk stably. We show here that a simple rigid-body statically unstable
mathematical model based loosely on the physical toy can predict stable limit-cycle walking
motions. These calculations add to the repertoire of rigid-body mechanism behaviors as well
as further implicating passive dynamics as a possible contributor to stability of animal …
Abstract
Previous experiments [MJ Coleman and A. Ruina, Phys. Rev. Lett. 80, 3658 (1998)] showed that a gravity-powered toy with no control and that has no statically stable near-standing configurations can walk stably. We show here that a simple rigid-body statically unstable mathematical model based loosely on the physical toy can predict stable limit-cycle walking motions. These calculations add to the repertoire of rigid-body mechanism behaviors as well as further implicating passive dynamics as a possible contributor to stability of animal motions.
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