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

Citation
R. Haiwu et al., Response of a duffing oscillator to combined deterministic harmonic and random excitation, J SOUND VIB, 242(2), 2001, pp. 362-368
Citations number
14
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF SOUND AND VIBRATION
ISSN journal
0022-460X → ACNP
Volume
242
Issue
2
Year of publication
2001
Pages
362 - 368
Database
ISI
SICI code
0022-460X(20010426)242:2<362:ROADOT>2.0.ZU;2-M
Abstract
The response of Duffing oscillator to combined deterministic harmonic and r andom excitation is investigated. The method of harmonic balance acid the m ethod of stochastic averaging are used to determine the response of the sys tem. Theoretical analyses and numerical simulations show that when the inte nsity of the random excitation increases, the non-trivial steady state solu tion may change from a limit cycle to a diffused limit cycle. Under some co nditions, the system may have two steady state solutions and jumps may exis t. (C) 2001 Academic Press.