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高维非线性振动系统参数识别
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.
作者姓名:苏鸾鸣  叶敏
作者单位: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
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. 

关 键 词:增量谐波平衡    参数识别    高维非线性系统    周期和混沌运动
收稿时间:2011-06-01
修稿时间:2011-09-13

PARAMETRIC INDENTIFICATION FOR HIGH-DIMENSIONAL NONLINEAR VIBRATION SYSTEM
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.
Authors:Su Luanming Ye Min
Institution:School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China
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.
Keywords:incremental harmonic balance  parameter identification  high-dimensional nonlinear system  period and chaotic motion
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