We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Response of nonlinear oscillator under narrow-band random excitation.
- Authors
Rong Hai-wu; Wang Xiang-dong; Meng Guang; Xu Wei; Fang Tong
- Abstract
The principal resonance of Duffing oscillator to narrow-band random parametric excitation was investigated. The method of multiple scales was used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response were studied by means of qualitative analyses. The effects of damping, detuning, bandwidth and magnitudes of deterministic and random excitations were analyzed. The theoretical analyses were verified by numerical results. Theoretical analyses and numerical simulations show that when the intensity of the random excitation increases, the nontrivial 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.
- Subjects
DUFFING equations; ELECTRIC oscillators; PULSE amplitude modulation; COMPUTER simulation; ELECTRONIC excitation; RESONANCE; BANDWIDTHS
- Publication
Applied Mathematics & Mechanics, 2003, Vol 24, Issue 7, p817
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/BF02437814