Nonlinear dynamics of a basketball rolling around the rim

We analyse the dynamics of a basketball which rolls around the rim of a basketball hoop. The rolling steady motions are determined, and we investigate falling, slipping, and instability. The qualitative behaviour of the global dynamics is analysed and the possible trajectories are categorised. We in...

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Bibliographic Details
Published in:Nonlinear dynamics 2021-06, Vol.104 (4), p.3013-3037
Main Authors: Antali, Mate, Havas, Vince, Hogan, S. John, Stepan, Gabor
Format: Article
Language:English
Subjects:
Automotive Engineering
Basketball
Classical Mechanics
Control
Dynamic stability
Dynamical Systems
Engineering
Initial conditions
Mechanical Engineering
Motion stability
Nonlinear dynamics
Original Paper
Qualitative analysis
Stability analysis
Vibration
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Summary:We analyse the dynamics of a basketball which rolls around the rim of a basketball hoop. The rolling steady motions are determined, and we investigate falling, slipping, and instability. The qualitative behaviour of the global dynamics is analysed and the possible trajectories are categorised. We investigate the effect of initial conditions which cause the basketball to fall inside or outside the basket or to remain on the rim.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06507-y