Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation

XU Wei; RONG Hai-wu; FANG Tong

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XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(9): 963-972.

Citation:

XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(9): 963-972.

Citation:

XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(9): 963-972.

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Visco-Elastic Systems Under Both Deterministic and Bound Random Parametric Excitation

1.
Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P.R.China;
2.
Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P.R.China;
3.
Institute of Vibration Engineering, Northwestern Polytechnical University, Xi'an 710072, P.R.China

Received Date: 2001-12-12
Rev Recd Date: 2003-04-23
Publish Date: 2003-09-15

Abstract

Abstract

The principal resonance of a visco-elastic systems under both deterministic and 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 contributions from the visco-elastic force to both damping and stiffness can be taken into account. The effects of damping, detuning, band-width, and magnitudes of deterministic and random excitations were analyzed. The theoretical analyses are verified by numerical results.
- principal resonance,
- visco-elastic system,
- multiple scale method,
- largest Liapunov exponent,
- bifurcation

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References(13)

References

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