Controlling multistability in coupled systems with soft impacts

P. Brzeski; E. Pavlovskaia; T. Kapitaniak; P. Perlikowski

doi:10.1016/j.ijmecsci.2016.12.022

Controlling multistability in coupled systems with soft impacts

P. Brzeski, E. Pavlovskaia, T. Kapitaniak, P. Perlikowski

Lodz University of Technology

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Abstract

In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are the distance between the oscillators and the difference in the phase of the harmonic excitation. When the distance is large two systems do not collide and a number of different possible solutions can be observed in both of them. When decreasing of the distance, one can observe some transient impacts and then the systems settle down on non-impacting attractor. It is shown that with the properly chosen distance and difference in the phase of the harmonic excitation, the number of possible solutions of the coupled systems can be reduced. The proposed method is robust and applicable in many different systems.

Original language	English
Pages (from-to)	118-129
Number of pages	12
Journal	International Journal of Mechanical Sciences
Volume	127
Early online date	31 Dec 2016
DOIs	https://doi.org/10.1016/j.ijmecsci.2016.12.022
Publication status	Published - Jul 2017

Bibliographical note

This work has been supported by Lodz University of Technology own Scholarship Fund (PB) and by Stipend for Young Outstanding Scientists from Ministry of Science and Higher Education of Poland (PP).

PB is supported by the Foundation for Polish Science (FNP).

Keywords

multistability
discontinuous coupling
control

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© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Accepted author manuscript, 1.65 MBLicence: CC BY-NC-ND

Ekaterina Pavlovskaia
- Engineering, Engineering - Head of School of Engineering, Personal Chair
- Engineering, Centre for Applied Dynamics Research (CADR)
Person: Academic

Cite this

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title = "Controlling multistability in coupled systems with soft impacts",

abstract = "In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are the distance between the oscillators and the difference in the phase of the harmonic excitation. When the distance is large two systems do not collide and a number of different possible solutions can be observed in both of them. When decreasing of the distance, one can observe some transient impacts and then the systems settle down on non-impacting attractor. It is shown that with the properly chosen distance and difference in the phase of the harmonic excitation, the number of possible solutions of the coupled systems can be reduced. The proposed method is robust and applicable in many different systems.",

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AU - Brzeski, P.

AU - Pavlovskaia, E.

AU - Kapitaniak, T.

AU - Perlikowski, P.

N1 - This work has been supported by Lodz University of Technology own Scholarship Fund (PB) and by Stipend for Young Outstanding Scientists from Ministry of Science and Higher Education of Poland (PP). PB is supported by the Foundation for Polish Science (FNP).

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N2 - In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are the distance between the oscillators and the difference in the phase of the harmonic excitation. When the distance is large two systems do not collide and a number of different possible solutions can be observed in both of them. When decreasing of the distance, one can observe some transient impacts and then the systems settle down on non-impacting attractor. It is shown that with the properly chosen distance and difference in the phase of the harmonic excitation, the number of possible solutions of the coupled systems can be reduced. The proposed method is robust and applicable in many different systems.

AB - In this paper we present an influence of discontinuous coupling on the dynamics of multistable systems. Our model consists of two periodically forced oscillators that can interact via soft impacts. The controlling parameters are the distance between the oscillators and the difference in the phase of the harmonic excitation. When the distance is large two systems do not collide and a number of different possible solutions can be observed in both of them. When decreasing of the distance, one can observe some transient impacts and then the systems settle down on non-impacting attractor. It is shown that with the properly chosen distance and difference in the phase of the harmonic excitation, the number of possible solutions of the coupled systems can be reduced. The proposed method is robust and applicable in many different systems.

KW - multistability

KW - discontinuous coupling

KW - control

U2 - 10.1016/j.ijmecsci.2016.12.022

DO - 10.1016/j.ijmecsci.2016.12.022

M3 - Article

SN - 0020-7403

VL - 127

SP - 118

EP - 129

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

ER -

Controlling multistability in coupled systems with soft impacts

Abstract

Bibliographical note

Keywords

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Ekaterina Pavlovskaia

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