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Some remarks on parametric excitation in circulatory systems

Karev, Artem and De Broeck, Lara and Hagedorn, Peter (2018):
Some remarks on parametric excitation in circulatory systems.
In: PAMM, WILEY-VCH Verlag, 18, (1), ISSN 1617-7061,
DOI: 10.1002/pamm.201800061,
[Online-Edition: https://onlinelibrary.wiley.com/doi/10.1002/pamm.201800061],
[Article]

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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.

Item Type: Article
Erschienen: 2018
Creators: Karev, Artem and De Broeck, Lara and Hagedorn, Peter
Title: Some remarks on parametric excitation in circulatory systems
Language: English
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.

Journal or Publication Title: PAMM
Volume: 18
Number: 1
Publisher: WILEY-VCH Verlag
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute of Numerical Methods in Mechanical Engineering (FNB)
Date Deposited: 18 Dec 2018 09:15
DOI: 10.1002/pamm.201800061
Official URL: https://onlinelibrary.wiley.com/doi/10.1002/pamm.201800061
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