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苏鸾鸣, 叶敏. 高维非线性振动系统参数识别[J]. 力学学报, 2012, 44(2): 425-436. DOI: 10.6052/0459-1879-2012-2-20120227
引用本文: 苏鸾鸣, 叶敏. 高维非线性振动系统参数识别[J]. 力学学报, 2012, 44(2): 425-436. DOI: 10.6052/0459-1879-2012-2-20120227
Su Luanming, Ye Min. PARAMETRIC INDENTIFICATION FOR HIGH-DIMENSIONAL NONLINEAR VIBRATION SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 425-436. DOI: 10.6052/0459-1879-2012-2-20120227
Citation: Su Luanming, Ye Min. PARAMETRIC INDENTIFICATION FOR HIGH-DIMENSIONAL NONLINEAR VIBRATION SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 425-436. DOI: 10.6052/0459-1879-2012-2-20120227

高维非线性振动系统参数识别

PARAMETRIC INDENTIFICATION FOR HIGH-DIMENSIONAL NONLINEAR VIBRATION SYSTEM

  • 摘要: 将增量谐波平衡非线性识别推广到高维振动系统, 推导了基于增量谐波平衡的多自由度非线性系统的识别方程. 针对一个两自由度系统进行了数值模拟计算, 讨论了系统在单周期、倍周期和混沌运动状态下的参数识别, 以及噪声对识别结果的影响, 验证了增量谐波平衡非线性识别在多自由度系统中的有效性. 结果表明, 该方法具有较高的计算效率和识别精度, 以及良好的抗噪能力.

     

    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.

     

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