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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (1): 61-67.

• 论文 • 上一篇    下一篇

VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC HARMONIC AND RANDOM EXCITATION

徐伟1, 戎海武2, 方同3   

  1. 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
  • 收稿日期:2000-10-10 修回日期:2002-09-28 出版日期:2003-01-18 发布日期:2003-01-18
  • 基金资助:

    the National Natural Science Foundation of China(10072049)

VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC HARMONIC AND RANDOM EXCITATION

XU Wei1, RONG Hai-wu2, FANG Tong3   

  1. 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:2000-10-10 Revised:2002-09-28 Online:2003-01-18 Published:2003-01-18
  • Supported by:

    the National Natural Science Foundation of China(10072049)

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摘要： 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.

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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