Response of nonlinear oscillator under narrow-band random excitation

被引:0
|
作者
Rong Hai-wu
Wang Xiang-dong
Meng Guang
Xu Wei
Fang Tong
机构
[1] Foshan University,Department of Mathematics
[2] Shanghai Jiaotong University,The State Key Laboratory of Vibration, Shock and Noise
[3] Northwestern Polytechnical University,Department of Applied Mathematics
关键词
principal resonance; Duffing oscillator; multiple scale method; O324; 60H10;
D O I
10.1007/BF02437814
中图分类号
学科分类号
摘要
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.
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页码:817 / 825
页数:8
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