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Dynamics of a bouncing dimer.
S Dorbolo1, D Volfson, L Tsimring
1Department of Physics, Clark University, Worcester, Massachusetts 01610, USA.
Physical Review Letters
|August 11, 2005
Summary
A bouncing dimer exhibits a novel horizontal drift mode. This phenomenon, where one part stays grounded while the other bounces, depends on the dimer's shape and frictional interactions.
Area of Science:
- Physics
- Mechanical Engineering
- Nonlinear Dynamics
Background:
- Bouncing objects on oscillating surfaces exhibit complex dynamics.
- Understanding energy dissipation and transport mechanisms is crucial for predicting system behavior.
Purpose of the Study:
- To investigate the dynamics of a two-sphere dimer on a vertically oscillated plate.
- To identify and characterize novel motion modes, particularly horizontal drift.
- To elucidate the underlying transport mechanism in the observed drift mode.
Main Methods:
- Utilized event-driven simulations for accurate modeling.
- Incorporated detailed treatment of frictional interactions between the dimer and the plate.
- Analyzed various initial and driving conditions to explore different dynamic modes.
Main Results:
- Observed multiple dynamic modes for the bouncing dimer.
- Identified a novel first excited mode characterized by horizontal drift.
- Demonstrated that drift speed and direction are dependent on the dimer's aspect ratio.
Conclusions:
- The dimer's dynamics on an oscillating plate are rich and varied.
- A unique horizontal drift mode was discovered and characterized.
- Frictional interactions play a key role in the dimer's transport mechanism.