高维非线性振动系统参数识别

苏鸾鸣; 叶敏

doi:10.6052/0459-1879-2012-2-20120227

高维非线性振动系统参数识别

苏鸾鸣,
叶敏

浙江大学航空航天学院力学系, 杭州 310027

基金项目: 国家自然科学基金资助项目(10672141).

详细信息

中图分类号: O322
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- 文章访问数: 1882
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出版历程
- 收稿日期: 2011-05-31
- 修回日期: 2011-09-12
- 刊出日期: 2012-03-17

PARAMETRIC INDENTIFICATION FOR HIGH-DIMENSIONAL NONLINEAR VIBRATION SYSTEM

Su Luanming,
Ye Min

School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China

Funds: The project was supported by the National Natural Science Foundation of China (10672141).

摘要

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.
- 增量谐波平衡 /
- 参数识别 /
- 高维非线性系统 /
- 周期和混沌运动
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.
- incremental harmonic balance /
- parameter identification /
- high-dimensional nonlinear system /
- period and chaotic motion

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参考文献(15)

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