Saturation and resonance in a class of non-linear systems under bounded noise excitation

Haiwu Rong, Xiangdong Wang, Wei Xu, Tong Fang

Research output: Contribution to journalArticlepeer-review

Abstract

The principal resonance of a two-degree-of-freedom non-linear oscillator to bounded noise excitations is investigated, the phenomenon of random saturation is found. The method of multiple scales is used to separate the rapidly varying items in the modulation equations, and the linearization process is carried out to determine the steady state moments of the amplitude of the system response. Some suggestions for system optimum design are proposed. The theoretical analyses are verified with numerical simulation.

Original languageEnglish
Pages (from-to)213-217
Number of pages5
JournalYingyong Lixue Xuebao/Chinese Journal of Applied Mechanics
Volume23
Issue number2
StatePublished - Jun 2006

Keywords

  • Multiple scale method
  • Principal resonance
  • Random saturation
  • Two-degree-of-freedom non-linear system

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