Analysis of oscillations in discontinuous Lurie systems via LPRS method
Abstract
We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.
Main Authors
Format
Conferences
Conference paper
Published
2019
Series
Subjects
Publication in research information system
Publisher
JVE International
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201908283949Use this for linking
Review status
Peer reviewed
ISSN
2345-0533
DOI
https://doi.org/10.21595/vp.2019.20817
Conference
International JVE Conference
Language
English
Published in
Vibroengineering Procedia
Is part of publication
39th International JVE Conference : Nonlinear Dynamics and Chaos in Engineering Applications
Citation
- Akimova, E. D., Boiko, I. M., Kuznetsov, N. V., & Mokaev, R. N. (2019). Analysis of oscillations in discontinuous Lurie systems via LPRS method. In 39th International JVE Conference : Nonlinear Dynamics and Chaos in Engineering Applications (pp. 177-181). JVE International. Vibroengineering Procedia, 25. https://doi.org/10.21595/vp.2019.20817
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Additional information about funding
This work was supported by the Russian Science Foundation 19-41-02002.
Copyright© 2019 The Authors