Maldonado, D. J. G. ; Karev, Artem ; Hagedorn, Peter ; Ritto, T. G. ; Sampaio, Rubens (2019)
Analysis of a rotordynamic system with anisotropy and nonlinearity using the Floquet theory and the method of normal forms.
In: Journal of Sound and Vibration, 453
doi: 10.1016/j.jsv.2019.04.006
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
The system under analysis is composed of an asymmetric rotor, two asymmetric bearings and a nonlinear spring-damper system representing an annular gas seal. The anisotropy in the rotor stiffness introduces time-periodic coefficients in the equations of motion which lead to parametric excitation with the typical resonance effects. As the additional anisotropy in the bearings may increase the area of unsafe operation conditions, the impact of these two different sources of anisotropy on the stability of the trivial solution is investigated in detail by a numerical approach based on the Floquet theory. Further insight into the stability behavior in case of an unstable trivial solution is obtained by accounting for stiffness and damping nonlinearities due to the gas seal. In this nonlinear case, the stability of the periodic solutions is analyzed by the semi-analytical method of normal forms revealing the influence of individual system parameters. The results of the semi-analytical approximation are verified by numerical calculations showing good agreement.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2019 |
| Autor(en): | Maldonado, D. J. G. ; Karev, Artem ; Hagedorn, Peter ; Ritto, T. G. ; Sampaio, Rubens |
| Art des Eintrags: | Bibliographie |
| Titel: | Analysis of a rotordynamic system with anisotropy and nonlinearity using the Floquet theory and the method of normal forms |
| Sprache: | Englisch |
| Publikationsjahr: | 4 August 2019 |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Sound and Vibration |
| Jahrgang/Volume einer Zeitschrift: | 453 |
| DOI: | 10.1016/j.jsv.2019.04.006 |
| URL / URN: | https://www.sciencedirect.com/science/article/pii/S0022460X1... |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | The system under analysis is composed of an asymmetric rotor, two asymmetric bearings and a nonlinear spring-damper system representing an annular gas seal. The anisotropy in the rotor stiffness introduces time-periodic coefficients in the equations of motion which lead to parametric excitation with the typical resonance effects. As the additional anisotropy in the bearings may increase the area of unsafe operation conditions, the impact of these two different sources of anisotropy on the stability of the trivial solution is investigated in detail by a numerical approach based on the Floquet theory. Further insight into the stability behavior in case of an unstable trivial solution is obtained by accounting for stiffness and damping nonlinearities due to the gas seal. In this nonlinear case, the stability of the periodic solutions is analyzed by the semi-analytical method of normal forms revealing the influence of individual system parameters. The results of the semi-analytical approximation are verified by numerical calculations showing good agreement. |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB) |
| Hinterlegungsdatum: | 25 Apr 2019 05:30 |
| Letzte Änderung: | 06 Dez 2021 12:40 |
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