Escape of two-DOF dynamical system from the potential well

We consider the escape of an initially excited dynamical system with two degrees of freedom from a potential well. Three different benchmark well potentials with different topologies are explored. The main challenge is to reveal the basic mechanisms that govern the escape in different regions of the...

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Bibliographic Details
Published in:Nonlinear dynamics 2023-02, Vol.111 (4), p.3019-3034
Main Authors: Engel, A., Ezra, T., Gendelman, O. V., Fidlin, A.
Format: Article
Language:English
Subjects:
Approximation
Automotive Engineering
Behavior
Classical Mechanics
Control
Degrees of freedom
Dynamical Systems
Energy
Engineering
Fractals
Initial conditions
Mathematical analysis
Mechanical Engineering
Microelectromechanical systems
Numerical analysis
Original Paper
Topology
Vibration
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Summary:We consider the escape of an initially excited dynamical system with two degrees of freedom from a potential well. Three different benchmark well potentials with different topologies are explored. The main challenge is to reveal the basic mechanisms that govern the escape in different regions of the parametric space and to construct appropriate asymptotic approximations for the analytic treatment of these mechanisms. In this study, numerical and analytical tools are used to classify and map the different escape mechanisms for various initial conditions and to offer the analytic criteria predicting the system’s behavior for those cases.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-022-08000-6