Karev, Artem ; Broeck, Lara de ; Hagedorn, Peter (2018)
Some remarks on parametric excitation in circulatory systems.
In: PAMM, 18 (1)
doi: 10.1002/pamm.201800061
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

Dynamical systems with time-periodic coefficients, i.e. with parametric excitation, have been studied in different fields for over a hundred years. It is well known that the presence of parametric excitation acts mostly destabilizing, leading to the emer- gence of instability regions depending on the amplitude and frequency of excitation. However, most of the work is done on systems with synchronous parametric excitation, while there are only few papers dealing with out-of-phase time-periodicity. At the same time little to no research in this context is done on systems containing gyroscopic or circulatory terms. The present paper demonstrates different approaches for stability assessment of time-periodic systems featuring nonconservative terms. In particular, out-of-phase parametric excitation as well as circulatory forces are considered in an example which is treated analytically and numerically. The derived stability boundaries show that the interaction of both features leads to the occurrence of rather unexpected resonance areas. The results extend the understanding of the influence of parametric excitation and encourage study of more general systems.

Typ des Eintrags:	Artikel
Erschienen:	2018
Autor(en):	Karev, Artem ; Broeck, Lara de ; Hagedorn, Peter
Art des Eintrags:	Bibliographie
Titel:	Some remarks on parametric excitation in circulatory systems
Sprache:	Englisch
Publikationsjahr:	22 August 2018
Verlag:	WILEY-VCH Verlag
Titel der Zeitschrift, Zeitung oder Schriftenreihe:	PAMM
Jahrgang/Volume einer Zeitschrift:	18
(Heft-)Nummer:	1
DOI:	10.1002/pamm.201800061
URL / URN:	https://onlinelibrary.wiley.com/doi/10.1002/pamm.201800061
Kurzbeschreibung (Abstract):	Dynamical systems with time-periodic coefficients, i.e. with parametric excitation, have been studied in different fields for over a hundred years. It is well known that the presence of parametric excitation acts mostly destabilizing, leading to the emer- gence of instability regions depending on the amplitude and frequency of excitation. However, most of the work is done on systems with synchronous parametric excitation, while there are only few papers dealing with out-of-phase time-periodicity. At the same time little to no research in this context is done on systems containing gyroscopic or circulatory terms. The present paper demonstrates different approaches for stability assessment of time-periodic systems featuring nonconservative terms. In particular, out-of-phase parametric excitation as well as circulatory forces are considered in an example which is treated analytically and numerically. The derived stability boundaries show that the interaction of both features leads to the occurrence of rather unexpected resonance areas. The results extend the understanding of the influence of parametric excitation and encourage study of more general systems.
Fachbereich(e)/-gebiet(e):	16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB)
Hinterlegungsdatum:	18 Dez 2018 09:15
Letzte Änderung:	12 Aug 2021 14:34
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