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The level-crossing problem of a weakly damped particle in quadratic potential well under harmonic excitation

Genda, Attila ORCID iD icon 1; Fidlin, Alexander 1; Gendelman, Oleg
1 Institut für Technische Mechanik (ITM), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):

Escape and level-crossing are fundamental and closely related problems in transient dynamics. Often, when a particle reaches a critical displacement, its escape becomes inevitable. Therefore, escape models based on truncated potentials are often used, resulting in similar problems to level-crossing formulations. Two different types of dynamics can be identified, leading to different kinds of level-crossing depending on the relationship between the damping and the excitation level. The first one (“fast escape”) is mainly governed by the initial energy of the system, which is determined through the initial conditions. The second one (“slow escape”) is governed by the beatings determined through the relationship between external excitation and damping. An analytic approach for estimating the size and location of the safe basins (SBs) in the plane of the initial conditions (ICs) of a 1-DOF externally excited oscillator is suggested. It enables the identification of the set of ICs where the particle never reaches a certain threshold under the given excitation. The SBs depend on the damping coefficient and the excitation’s amplitude, frequency, and phase. ... mehr


Verlagsausgabe §
DOI: 10.5445/IR/1000163214
Veröffentlicht am 20.10.2023
Originalveröffentlichung
DOI: 10.1007/s11071-023-08875-z
Scopus
Zitationen: 3
Web of Science
Zitationen: 3
Dimensions
Zitationen: 3
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2023
Sprache Englisch
Identifikator ISSN: 0924-090X, 1573-269X
KITopen-ID: 1000163214
Erschienen in Nonlinear Dynamics
Verlag Springer
Band 111
Seiten 20563–20578
Projektinformation DFG, DFG EIN, FI 1761/7-1
Vorab online veröffentlicht am 19.10.2023
Schlagwörter Level-crossing problem; Escape; Potential well; Safe basins; Transient process; Integrity measure; Dover cliff
Nachgewiesen in Dimensions
Web of Science
Scopus
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