Karev, Artem ; Hagedorn, Peter (2020)
Simultaneous Resonance and Anti-Resonance in Dynamical Systems Under Asynchronous Parametric Excitation.
In: Journal of Computational and Nonlinear Dynamics, 15 (9)
doi: 10.1115/1.4046499
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
Since the discovery of parametric anti-resonance, parametric excitation has also become more prominent for its stabilizing properties. While resonance and anti-resonance are mostly studied individually, there are systems where both effects appear simultaneously at each combination resonance frequency. With a steep transition between them and a high sensitivity of their relative positions, there is a need for a concurrent study of resonance and anti-resonance. The semi-analytical method of normal forms is used to derive approximate analytical expressions describing the magnitude of the stability impact as well as the precise locations of stabilized and destabilized areas. The results reveal that the separate appearance of resonance and anti-resonance is only a special case occurring for synchronous parametric excitation. In particular, in circulatory systems the simultaneous appearance is expected to be much more common.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2020 |
| Autor(en): | Karev, Artem ; Hagedorn, Peter |
| Art des Eintrags: | Bibliographie |
| Titel: | Simultaneous Resonance and Anti-Resonance in Dynamical Systems Under Asynchronous Parametric Excitation |
| Sprache: | Englisch |
| Publikationsjahr: | 16 Juli 2020 |
| Verlag: | American Society of Mechanical Engineers (ASME) |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Computational and Nonlinear Dynamics |
| Jahrgang/Volume einer Zeitschrift: | 15 |
| (Heft-)Nummer: | 9 |
| DOI: | 10.1115/1.4046499 |
| URL / URN: | https://asmedigitalcollection.asme.org/computationalnonlinea... |
| Kurzbeschreibung (Abstract): | Since the discovery of parametric anti-resonance, parametric excitation has also become more prominent for its stabilizing properties. While resonance and anti-resonance are mostly studied individually, there are systems where both effects appear simultaneously at each combination resonance frequency. With a steep transition between them and a high sensitivity of their relative positions, there is a need for a concurrent study of resonance and anti-resonance. The semi-analytical method of normal forms is used to derive approximate analytical expressions describing the magnitude of the stability impact as well as the precise locations of stabilized and destabilized areas. The results reveal that the separate appearance of resonance and anti-resonance is only a special case occurring for synchronous parametric excitation. In particular, in circulatory systems the simultaneous appearance is expected to be much more common. |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB) |
| Hinterlegungsdatum: | 17 Aug 2020 07:22 |
| Letzte Änderung: | 17 Aug 2020 07:22 |
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