Article ID Journal Published Year Pages File Type
7174622 International Journal of Non-Linear Mechanics 2014 10 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
Authors
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