Response of a duffing oscillator to combined deterministic harmonic and random excitation

R. Haiwu, X. Wei, M. Guang, F. Tong

Research output: Contribution to journalEditorial

49 Scopus citations

Abstract

The response of Duffing oscillator to combined deterministic harmonic and random excitation is investigated. The method of harmonic balance and the method of stochastic averaging are used to determine the response of the system. Theoretical analyses and numerical simulations show that when the intensity of the random excitation increases, the non-trivial steady state solution may change from a limit cycle to a diffused limit cycle. Under some conditions, the system may have two steady state solutions and jumps may exist.

Original languageEnglish
Pages (from-to)362-368
Number of pages7
JournalJournal of Sound and Vibration
Volume242
Issue number2
DOIs
StatePublished - 26 Apr 2001

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