Motions induced by asymmetric vibrations
The solid/solid case
Institut Curie, 26 rue d'Ulm, 75248, Paris Cedex 05, France
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Published online: 31 January 2006
We discuss theoretically the motions of a coin on a horizontally vibrating plate, with dry friction between the coin and the plate. As first noticed by Daniel and Chaudhury in a different situation (droplets on a plate), when the periodic acceleration γ(t) imposed by the plate is unsymmetrical, the coin can move macroscopically with a certain drift velocity . We analyse here: (a) the vibration threshold below which , and the generic behavior expected just above threshold; (b) the limiting behavior at very high amplitudes, where should become independent of the amplitude; (c) the complications due to small, macroscopic inhomogeneities on the supporting plate.
© EDP Sciences/Società Italiana di Fisica/Springer-Verlag, 2006