Response of Nonlinear Oscillator Under Narrow-Band Random Excitation

RONG Hai-wu; WANG Xiang-dong; MENG Guang; XU Wei; FANG Tong

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(7): 723-729

RONG Hai-wu, WANG Xiang-dong, MENG Guang, XU Wei, FANG Tong. Response of Nonlinear Oscillator Under Narrow-Band Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(7): 723-729.

Citation:

RONG Hai-wu, WANG Xiang-dong, MENG Guang, XU Wei, FANG Tong. Response of Nonlinear Oscillator Under Narrow-Band Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(7): 723-729.

Citation:

RONG Hai-wu, WANG Xiang-dong, MENG Guang, XU Wei, FANG Tong. Response of Nonlinear Oscillator Under Narrow-Band Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(7): 723-729.

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Response of Nonlinear Oscillator Under Narrow-Band Random Excitation

1.
Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P. R. China;
2.
The State Key Laboratory of Vibration, Shock and Noise, Shanghai Jiaotong University, Shanghai 200030, P. R. China;
3.
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China

Received Date: 2000-08-30
Rev Recd Date: 2002-12-01
Publish Date: 2003-07-15

Abstract

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.
- principal resonance,
- Duffing oscillator,
- multiple scale method

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References(17)

References

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