Dynamics of a Duffing oscillator with two time delays in feedback control under narrow-band random excitation

Yanfei Jin*, Haiyan Hu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The paper presents analytical and numerical results of the primary resonance of a Duffing oscillator with two distinct time delays in the linear feedback control under narrowband random excitation. Using the method of multiple scales, the first-order and the second-order steady-state moments of the primary resonance are derived. For the case of two distinct time delays, the appropriate choices of the combinations of the feedback gains and the difference between two time delays are discussed from the viewpoint of vibration control and stability. The analytical results are in well agreement with the numerical results.

Original languageEnglish
Article number021205
JournalJournal of Computational and Nonlinear Dynamics
Volume3
Issue number2
DOIs
Publication statusPublished - Apr 2008
Externally publishedYes

Keywords

  • Multiple scale method
  • Narrow-band random noise
  • Primary resonance
  • Two distinct time delays

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