Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7174622 | International Journal of Non-Linear Mechanics | 2014 | 10 Pages |
Abstract
Non-linear dynamics of a bouncing ball moving vertically in a gravitational field and colliding with a moving limiter is considered. The Poincaré map, describing evolution from an impact to the next impact, is used to analyse the original system. Sinusoidal displacement of the table, defining the standard model, is approximated in one period of the limiter׳s motion by a cubic spline, thus making analytical computations possible. Analytical and numerical results, based on Implicit Function Theorem, obtained for this simplified model, are used to elucidate dynamics of the standard model of the bouncing ball. Finally, the same techniques are applied to investigate dynamics of the standard model.
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Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Andrzej OkniÅski, BogusÅaw Radziszewski,