A4 Article in conference proceedings
Analysis of oscillations in discontinuous Lurie systems via LPRS method (2019)

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

JYU authors or editors

Publication details

All authors or editors: Akimova, E. D.; Boiko, I. M.; Kuznetsov, N. V.; Mokaev, R. N.

Parent publication: 39th International JVE Conference : Nonlinear Dynamics and Chaos in Engineering Applications

Place and date of conference: Pietari, Venäjä, 25.-26.7.2019.

Journal or series: Vibroengineering Procedia

ISSN: 2345-0533

eISSN: 2538-8479

Publication year: 2019

Number in series: 25

Pages range: 177-181

Number of pages in the book: 226

Publisher: JVE International

Place of Publication: Kaunas

Publication country: Lithuania

Publication language: English

DOI: https://doi.org/10.21595/vp.2019.20817

Publication open access: Openly available

Publication channel open access: Open Access channel

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/65344

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.

Keywords: oscillations; numerical methods

Free keywords: global stability, harmonic balance method, periodic oscillations

Contributing organizations

Ministry reporting: Yes

VIRTA submission year: 2019

JUFO rating: 1