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On the escape of a resonantly excited couple of particles from a potential well

Genda, Attila; Fidlin, Alexander; Gendelman, Oleg

Abstract:
The escape dynamics of a damped system of two coupled particles in a truncated potential well under biharmonic excitation are investigated. It is assumed that excitation frequencies are tuned to the modal natural frequency of the relative motion and to the modal frequency of the centre of mass on the bottom of the potential well. Although the escape is essentially a non-stationary process, the critical force strongly depends on the stationary amplitude of the relative vibrations within the pair of masses. The characteristic escape curve for the critical force moves up on the frequency-escape threshold plane with increasing relative vibrations, which can be interpreted as a stabilizing effect due to the high-frequency excitation. To obtain the results, new modelling techniques are suggested, including the reduction in the effect of the high-frequency excitation using a probability density function-based convolution approach and an energy-based approach for the description of the evolution of the slow variables. To validate the method, the coupled pair of particles is investigated with various model potentials.

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Verlagsausgabe §
DOI: 10.5445/IR/1000130924
Veröffentlicht am 25.03.2021
Originalveröffentlichung
DOI: 10.1007/s11071-021-06312-7
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Technische Mechanik (ITM)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 0924-090X, 1573-269X
KITopen-ID: 1000130924
Erschienen in Nonlinear Dynamics
Verlag Springer
Nachgewiesen in Scopus
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