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Visco-elastic systems under both deterministic harmonic and random excitation

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Northwestern Polytechnical University, 710072, Xi'an, China

    Xu Wei

  2. Department of Applied Mathematics, Foshan University, 528000, Foshan, Guangdong, China

    Rong Hai-wu

  3. Institute of Vibration Engineering, Northwestern Polytechnical University, 710072, Xi'an, China

    Fang Tong

Authors
  1. Xu Wei
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  2. Rong Hai-wu
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  3. Fang Tong
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Additional information

Communicated by Liu Zeng-rong

Foundation item: the National Natural Science Foundation of China (10072049)

Biography: Xu Wei (1957-), Professor, Doctor E-mail: weixu@nwpu.edu.cn

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Wei, X., Hai-wu, R. & Tong, F. Visco-elastic systems under both deterministic harmonic and random excitation. Appl Math Mech 24, 61–67 (2003). https://doi.org/10.1007/BF02439378

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  • DOI: https://doi.org/10.1007/BF02439378

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