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...
متن کاملThe Completely Inelastic Bouncing Ball
The motion of the inelastic bouncing ball is examined. The time of flight is modelled through numerical simulation using MATLAB. Then the time of flight is experimentally verified using a metal block constrained to move in one direction mounted to a vibration table. Time of flight is measured using a continuity sensor. Bifurcation diagrams are created for a range of accelerations and compared t...
متن کاملThe Completely Inelastic Ball: Analysis and Experiment
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...
متن کاملCompletely Inelastic Bouncing Ball on a Forced Plate
In this paper, we investigate the dynamics of a completely inelastic ball on a vertically vibrated plate. We construct a computational model using various forcing waveforms for the plate and generate associated bifurcation diagrams. The forcing functions used are a superposition of two sine waves with an integer ratio of frequencies. We then observe experimentally some of the predictions made b...
متن کاملHard Ball Systems Are Completely Hyperbolic
We consider the system of N (≥ 2) elastically colliding hard balls with masses m1, . . . , mN , radius r, moving uniformly in the flat torus T ν L = R /L · Z , ν ≥ 2. It is proved here that the relevant Lyapunov exponents of the flow do not vanish for almost every (N + 1)-tuple (m1, . . . , mN ;L) of the outer geometric parameters.
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2009
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.79.055201