Visco-Elastic Systems Under Both Deterministic Harmonic and Random 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 Harmonic and Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(1): 55-61.

Citation:

XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic Harmonic and Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(1): 55-61.

Citation:

XU Wei, RONG Hai-wu, FANG Tong. Visco-Elastic Systems Under Both Deterministic Harmonic and Random Excitation[J]. Applied Mathematics and Mechanics, 2003, 24(1): 55-61.

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Visco-Elastic Systems Under Both Deterministic Harmonic and Random Excitation

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

Received Date: 2000-10-10
Rev Recd Date: 2002-09-28
Publish Date: 2003-01-15

Abstract

Abstract

The response of visco-elastic system to combined deterministic harmonic and random excitation was investigated. The method of harmonic balance and the method of stochastic averaging were used to determine the response of the system. The theoretical analysis was verified by numerical results. Theoretical analyses and numerical simulations show that when the intensity of the random excitation increase, 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 and jumps may exist.
- visco-elastic system,
- method of harmonic balance,
- method of stochastic averaging

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References(9)

References

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