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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (2): 210-219.

• 论文 • 上一篇    下一篇

IDENTIFICATION OF NONLINEAR DYNAMIC SYSTEMS:TIME-FREQUENCY FILTERING AND SKELETON CURVES

王丽丽1,2, 张景绘1   

  1. 1. School of Civil Engineering and Mechanics, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China
  • 收稿日期:2000-03-06 修回日期:2000-09-19 出版日期:2001-02-18 发布日期:2001-02-18
  • 基金资助:
    the National Natural Science Foundation of China(19632001);the Doctor Research Foundation of X i an Jiaotong University;the Chinese Postdoctoral Science Foundation

IDENTIFICATION OF NONLINEAR DYNAMIC SYSTEMS:TIME-FREQUENCY FILTERING AND SKELETON CURVES

WANG Li-li1,2, ZHANG Jing-hui1   

  1. 1. School of Civil Engineering and Mechanics, Xi’an Jiaotong University, Xi’an 710049, P. R. China;
    2. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China
  • Received:2000-03-06 Revised:2000-09-19 Online:2001-02-18 Published:2001-02-18
  • Supported by:
    the National Natural Science Foundation of China(19632001);the Doctor Research Foundation of X i an Jiaotong University;the Chinese Postdoctoral Science Foundation

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摘要： The nonlinear behavior varying with the instantaneous response was analyzed through the joint time-frequency analysis method for a class of S.D.O.F nonlinear system. A masking operator on definite regions is defined and two theorems are presented. Based on these, the nonlinear system is modeled with a special time-varying linear one, called the generalized skeleton linear system(GSLS). The frequency skeleton curve and the damping skeleton curve are defined to describe the main feature of the non-linearity as well. Moreover, an identification method is proposed through the skeleton curves and the time-frequency filtering technique.

关键词: system identification, nonlinear dynamic system, non-stationary signal, time-frequency analysis, Hilbert transform

Abstract: The nonlinear behavior varying with the instantaneous response was analyzed through the joint time-frequency analysis method for a class of S.D.O.F nonlinear system. A masking operator on definite regions is defined and two theorems are presented. Based on these, the nonlinear system is modeled with a special time-varying linear one, called the generalized skeleton linear system(GSLS). The frequency skeleton curve and the damping skeleton curve are defined to describe the main feature of the non-linearity as well. Moreover, an identification method is proposed through the skeleton curves and the time-frequency filtering technique.

Key words: system identification, nonlinear dynamic system, non-stationary signal, time-frequency analysis, Hilbert transform

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