Journal Article Mode bifurcation of a bouncing dumbbell with chirality

Kubo, Yoshitsugu  ,  Inagaki, Shio  ,  Ichikawa, Masatoshi  ,  Yoshikawa, Kenichi

91 ( 5 ) 2015-05-08 , American Physical Society
ISSN:1539-3755
NCID:AA11558033
Description
We studied the behavior of a dumbbell bouncing upon a sinusoidally vibrating plate. By introducing chiral asymmetry to the geometry of the dumbbell, we observed a cascade of bifurcations with an increase in the vibration amplitude: spinning, orbital, and rolling. In contrast, for an achiral dumbbell, bifurcation is generated by a change from random motion to vectorial inchworm motion. A simple model particle was considered in a numerical simulation that reproduced the essential aspects of the experimental observation. The mode bifurcation from directional motion to random motion is interpreted analytically by a simple mechanical discussion.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/200911/1/PhysRevE.91.052905.pdf

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