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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 journalArticlepeer-review

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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.

Original languageEnglish
Pages (from-to)1671-1679
Number of pages9
JournalNonlinear Dynamics
Volume90
Issue number3
Early online date22 Aug 2017
DOIs
Publication statusPublished - Nov 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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