Karev, Artem ; Hagedorn, Peter (2024)
Asynchronous parametric excitation: validation of theoretical results by electronic circuit simulation.
In: Nonlinear Dynamics : An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, 2020, 102 (1)
doi: 10.26083/tuprints-00023894
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
A validation of recent theoretical results on the stability effects of asynchronous parametric excitation is presented. In particular, the coexistence of both resonance and anti-resonance at each combination resonance frequency is to be confirmed on a close-to-experiment simulation model. The simulation model reproduces the experimental setup developed by Schmieg in 1976, remaining the only experimental study on asynchronous excitation to this day. The model consists of two oscillating electronic circuits with feedback-free coupling through parametric excitation. In contrast to a mechanical system, the phase relations of the parametric excitation terms in an electronic system can be easily adjusted. The implementation of the simulation model is performed in the electronic circuit simulation software LTspice. The electronic model itself is first validated against the experimental results obtained by Schmieg and is then used to confirm the theoretical findings. The results of the electronic circuit simulation show excellent qualitative and quantitative agreement with analytical approximations confirming the coexistence of resonance and anti-resonance effects near a combination resonance frequency.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Karev, Artem ; Hagedorn, Peter |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Asynchronous parametric excitation: validation of theoretical results by electronic circuit simulation |
| Sprache: | Englisch |
| Publikationsjahr: | 18 Dezember 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | September 2020 |
| Ort der Erstveröffentlichung: | Dordrecht |
| Verlag: | Springer Science |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Nonlinear Dynamics : An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems |
| Jahrgang/Volume einer Zeitschrift: | 102 |
| (Heft-)Nummer: | 1 |
| DOI: | 10.26083/tuprints-00023894 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23894 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | A validation of recent theoretical results on the stability effects of asynchronous parametric excitation is presented. In particular, the coexistence of both resonance and anti-resonance at each combination resonance frequency is to be confirmed on a close-to-experiment simulation model. The simulation model reproduces the experimental setup developed by Schmieg in 1976, remaining the only experimental study on asynchronous excitation to this day. The model consists of two oscillating electronic circuits with feedback-free coupling through parametric excitation. In contrast to a mechanical system, the phase relations of the parametric excitation terms in an electronic system can be easily adjusted. The implementation of the simulation model is performed in the electronic circuit simulation software LTspice. The electronic model itself is first validated against the experimental results obtained by Schmieg and is then used to confirm the theoretical findings. The results of the electronic circuit simulation show excellent qualitative and quantitative agreement with analytical approximations confirming the coexistence of resonance and anti-resonance effects near a combination resonance frequency. |
| Freie Schlagworte: | Parametric excitation, Asynchronous excitation, Stability, Normal forms, Validation |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-238947 |
| Zusätzliche Informationen: | Part of a collection: Computational Methods and Time Series Analysis |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 16 Fachbereich Maschinenbau 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB) 16 Fachbereich Maschinenbau > Fachgebiet für Numerische Berechnungsverfahren im Maschinenbau (FNB) > Dynamische Schwingungen |
| Hinterlegungsdatum: | 18 Dez 2024 12:30 |
| Letzte Änderung: | 19 Dez 2024 10:02 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Asynchronous parametric excitation: validation of theoretical results by electronic circuit simulation. (deposited 18 Dez 2024 12:30) [Gegenwärtig angezeigt]
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