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

4 Citations (Scopus)
48 Downloads (Pure)


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)1-9
Number of pages9
JournalNonlinear Dynamics
Early online date22 Aug 2017
Publication statusE-pub ahead of print - 22 Aug 2017


  • 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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