上海大学学报(自然科学版)

• 数理化科学 • 上一篇    下一篇

基于HilbertHuang变换的多自由度参数辨识

〖HT4K〗段希波1,〓张计光2,3,〓颜〓勇1   

  1. (1.山东水利职业学院,山东 276826; 2.日照职业技术学院,山东 276826;


    3.上海大学 上海市应用数学和力学研究所,上海 200072)

  • 收稿日期:2005-09-20 修回日期:1900-01-01 出版日期:1900-01-01 发布日期:1900-01-01
  • 通讯作者: 段希波

Identification of Modal Parameters of Multiple DegreeofFreedom 
System Based on HilbertHuang Transform

DUAN Xibo1,〓ZHANG Jiguang2,3,〓YAN Yong1   

  1. (1. Shandong Water Conservancy Polytechnic, Shandong 276826, China; 
    2. Rizhao Vocational College, Shandong 276826, China;
    3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,

    Shanghai 200072, China)

  • Received:2005-09-20 Revised:1900-01-01 Online:1900-01-01 Published:1900-01-01

摘要:

HilbertHuang变换(简称HHT)是近年来发展起来的一种新的时间序列信号分析方

法,特别对非平稳信号和非线性信号的分析有较好的适定性.该文结合HHT和状态变量分析

方法对多自由度系统的模态频率和阻尼比进行了辨识.首先,用经验模态分解对测得的激励

响应信号进行分解,然后对分解结果进行Hilbert变换,求出瞬时幅度和相位,再通过线性

最小二乘拟合求出模态频率和阻尼比.最后的仿真结果显示本文方法是可行的.

关键词:

HilbertHuang变换, 多自由度系统

, 经验模态分解, 线性最小二乘拟合

Abstract:

For adaptively analyzing nonstationary and nonlinear signals, Hilber

t

Huang transform (HHT) has been developed recently. An HHT based method is prop

o

sed to identify modal frequency and damping ratio, in which the measured respons

e data polluted by noise are first decomposed into modal responses using empiric

al mode decomposition (EMD). HHT is then applied to each modal response to obtai

n the instantaneous amplitude and phase angle time histories. Linear leastsqua

r

e fitting is carried out to identify the natural frequency and damping ratio fro

m the instantaneous amplitude and phase angle for each modal response. Experimen

tal results show the validity of the algorithm. 

Key words: empirical mode decomposition, linear leastsquare fitting

, multiple degr

ee of freedom system,

HilbertHuang transform

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