Loading…

The horizontal stability of a ball bouncing upon a vertically vibrated concave surface

In experiments a ball will not bounce repeatedly in the same place upon a vertically vibrating horizontal surface due to imperfections in the ball and the surface. Consequently, a concave surface is often used to restrain the horizontal movement of the ball while measurements are made of its vertica...

Full description

Saved in:
Bibliographic Details
Published in:Europhysics letters 2008-01, Vol.81 (1), p.14002-14002(6)
Main Authors: Wright, H. S, Swift, M. R, King, P. J
Format: Article
Language:English
Subjects:
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In experiments a ball will not bounce repeatedly in the same place upon a vertically vibrating horizontal surface due to imperfections in the ball and the surface. Consequently, a concave surface is often used to restrain the horizontal movement of the ball while measurements are made of its vertical motion. Here we use two numerical-simulation models to study the horizontal motion of an inelastic sphere bouncing chaotically under gravity upon a vertically vibrated parabolic surface. Both models predict the same generic features. For almost flat surfaces the ball makes wandering horizontal excursions and as the surface curvature is increased the horizontal motion of the ball becomes more and more constrained. However, the horizontal motion may exhibit intermittent, abrupt and erratic bursts of very large amplitude. These bursts occur with a probability which increases extremely rapidly with surface curvature such that there is an effective threshold curvature for their observation within a finite sequence of bounces. We study the behaviour of this intermittency as a function of the vibration amplitude, of the surface curvature and of the normal coefficient of restitution.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/81/14002