噪声与振动控制

噪声与振动控制 ›› 2014, Vol. 34 ›› Issue (3): 52-56.DOI: 10.3969/j.issn.1006-1335.2014.03.011

• 2.振动理论与数值解法 • 上一篇    下一篇

基于希尔伯特变换结构模态参数识别

范兴超，纪国宜   

  1. （ 南京航空航天大学  机械结构力学及控制国家重点实验室，  南京  210016 ）
  • 收稿日期:2013-08-05 修回日期:2013-09-27 出版日期:2014-06-18 发布日期:2014-06-18
  • 通讯作者: 范兴超

Modal Parameter Identification of Structures Based on Hilbert Transform

  • Received:2013-08-05 Revised:2013-09-27 Online:2014-06-18 Published:2014-06-18

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摘要：

应用HHT方法对GARTEUR飞机模型模态参数进行识别，通过采用多通带滤波器对信号进行滤波，较好的解决模态混叠问题，采用NExT法对信号预处理，由EMD分解获得较准确的各阶固有模态函数分量（IMF），在EMD分解中使用镜像延拓方法对极值点进行处理来抑制端点效应，然后将分解得到的IMF分量进行希尔伯特变换并结合ITD法识别出各阶固有频率和阻尼比。最后对悬臂梁进行数值仿真模拟，并将模态参数识别结果和理论值进行对比，并运用此方法进一步识别GARTEUR飞机模型固有模态参数。

关键词: 振动与波, 模态参数识别, Hilbert-Huang变换, 模态阻尼比, 镜像延拓

Abstract:

The HHT method is applied to the modal parameter identification of GARTEUR plane model.The multiple bandpass filter was applied to process the signal for solving the problem of modal aliasing, Meanwhile the NExT method was adopted in order to get more accurate individual order intrinsic mode function (IMF) form the EMD decomposition.The mirror continuation method was applied to process extreme value points for sloving the problem of the endpoint effect.Then each order natural frequency and damping ratio was identified with Hilbert transform and ITD method.The numerical simulation of cantileverbeam was carried out and the simulated results was compared with the the theoretical results,and to further recognize the natural modal parameters of the GARTEUR plane model.

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