Suppression of self-excited vibrations by a random parametric excitation

R. V. Bobryk; D. Yurchenko; A. S. Bratus

doi:10.1007/s11071-017-3756-y

Suppression of self-excited vibrations by a random parametric excitation

R. V. Bobryk, D. Yurchenko^*, A. S. Bratus

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

33 Downloads (Pure)

Abstract

Previous theoretical and experimental studies have shown that some vibrating systems can be stabilized by zero-averaged periodic parametric excitations. It is shown in this paper that some zero-mean random parametric excitations can also be useful for this stabilization. Under some conditions, they can be even more efficient compared to the periodic ones. Two-mass mechanical system with self-excited vibrations is considered for this comparison. The so-called bounded noise is used as a model of the random parametric excitation. The mean-square stability diagrams are obtained numerically by considering an eigenvalue problem for large matrices.

Original language	English
Pages (from-to)	1-9
Number of pages	9
Journal	Nonlinear Dynamics
Early online date	22 Aug 2017
DOIs	https://doi.org/10.1007/s11071-017-3756-y
Publication status	E-pub ahead of print - 22 Aug 2017

Keywords

Bounded noise
Mean-square stability
Parametric excitation
Self-excited vibration

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Ocean Engineering
Mechanical Engineering
Applied Mathematics
Electrical and Electronic Engineering

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abstract = "Previous theoretical and experimental studies have shown that some vibrating systems can be stabilized by zero-averaged periodic parametric excitations. It is shown in this paper that some zero-mean random parametric excitations can also be useful for this stabilization. Under some conditions, they can be even more efficient compared to the periodic ones. Two-mass mechanical system with self-excited vibrations is considered for this comparison. The so-called bounded noise is used as a model of the random parametric excitation. The mean-square stability diagrams are obtained numerically by considering an eigenvalue problem for large matrices.",

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author = "Bobryk, {R. V.} and D. Yurchenko and Bratus, {A. S.}",

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AU - Yurchenko, D.

AU - Bratus, A. S.

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Y1 - 2017/8/22

N2 - Previous theoretical and experimental studies have shown that some vibrating systems can be stabilized by zero-averaged periodic parametric excitations. It is shown in this paper that some zero-mean random parametric excitations can also be useful for this stabilization. Under some conditions, they can be even more efficient compared to the periodic ones. Two-mass mechanical system with self-excited vibrations is considered for this comparison. The so-called bounded noise is used as a model of the random parametric excitation. The mean-square stability diagrams are obtained numerically by considering an eigenvalue problem for large matrices.

AB - Previous theoretical and experimental studies have shown that some vibrating systems can be stabilized by zero-averaged periodic parametric excitations. It is shown in this paper that some zero-mean random parametric excitations can also be useful for this stabilization. Under some conditions, they can be even more efficient compared to the periodic ones. Two-mass mechanical system with self-excited vibrations is considered for this comparison. The so-called bounded noise is used as a model of the random parametric excitation. The mean-square stability diagrams are obtained numerically by considering an eigenvalue problem for large matrices.

KW - Bounded noise

KW - Mean-square stability

KW - Parametric excitation

KW - Self-excited vibration

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JF - Nonlinear Dynamics

ER -

Suppression of self-excited vibrations by a random parametric excitation

Abstract

Keywords

ASJC Scopus subject areas

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