Chinese Journal of Theoretical and Applied Mechani ›› 2012, Vol. 44 ›› Issue (2): 425-436.DOI: 10.6052/0459-1879-2012-2-20120227

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Su Luanming, Ye Min   

  1. School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China
  • Received:2011-06-01 Revised:2011-09-13 Online:2012-03-23 Published:2012-03-23
  • Supported by:
    The project was supported by the National Natural Science Foundation of China (10672141).

Abstract: The incremental harmonic balance nonlinear identification (IHBNID) is extended to high-dimensional nonlinear vibration system. The identification equation of multi-degree-of-freedom nonlinear dynamic system is derived. Numerical simulation on a two-degrees-of-freedom nonlinear system example, based on the IHBNID, was carried out on the period-1, the period-doubling and the chaotic motions. The effect of noise on the identification parameters is analyzed. The effectiveness of the IHBNID is verified for multi-degree-of-freedom nonlinear dynamic system. The simulating results show that the proposed method has high accuracy and efficiency, and can improve the antinoise ability.

Key words: incremental harmonic balance|parameter identification|high-dimensional nonlinear system|period and chaotic motion

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