The Completely Inelastic Ball: Analysis and Experiment
نویسنده
چکیده
We consider the problem of a perfectly inelastic bouncing ball on a vibrating plate subjected to a superposition based input forcing function. Both, analytical and experimental studies are performed and the results from each are compared. The developed theoretical models also incorporate friction and provide a fair agreement with the actual experimental data. Interesting regions on bifurcations diagrams are identified validated from the actual data. We also generate return maps from the experimental data, depicting single, double and bi-modal behavior of the dynamical system.
منابع مشابه
Completely inelastic ball.
This Rapid Communication presents an analytical study of the bouncing of a completely inelastic ball on a vertically vibrated plate. The interplay of saddle-node and period-doubling bifurcations leads to an intricate structure of the bifurcation diagram with uncommon properties, such as an infinity of bifurcation cascades in a finite range of the control parameter Gamma. A pseudochaotic behavio...
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