Discontinuity-induced bifurcations of a dual-point contact ball

In this paper, dynamics of a ball is investigated, which is in dual-point contact with a cylindrical vessel. This model is based on a concept of a type of flowmeter. Rolling, slipping and separation of surfaces can all occur at both contact points, which results in a nonsmooth dynamical system. Stat...

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Bibliographic Details
Published in:Nonlinear dynamics 2016, Vol.83 (1-2), p.685-702
Main Authors: Antali, Mate, Stepan, Gabor
Format: Article
Language:English
Subjects:
Automotive Engineering
Bifurcations
Classical Mechanics
Contact
Contact force
Control
Discontinuity
Dynamic stability
Dynamic tests
Dynamical Systems
Dynamics
Engineering
Mathematical models
Mechanical Engineering
Nonlinear dynamics
Original Paper
Point contact
Stability
Vibration
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Summary:In this paper, dynamics of a ball is investigated, which is in dual-point contact with a cylindrical vessel. This model is based on a concept of a type of flowmeter. Rolling, slipping and separation of surfaces can all occur at both contact points, which results in a nonsmooth dynamical system. Stationary solutions of the system and their stability are determined in the different kinematic cases. By introducing the concept of stability with respect to slipping, existence of the stationary solutions can be checked even in the case when the contact forces are undetermined. Discontinuity-induced bifurcations of the system are explored.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-015-2356-y