Identification of linear time-varying dynamical systems using Hilbert transform and empirical mode decomposition method

被引：47

作者：

Shi, Z. Y. ^{[1
]}

Law, S. S. ^{[1
]}

机构：

[1] Hong Kong Polytech Univ, Dept Civil & Struct Engn, Hunghom 0000, Hong Kong, Peoples R China

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2007年 / 74卷 / 02期

关键词：

D O I：

10.1115/1.2188538

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper addresses the identification of linear time-varying multi-degrees-of-freedom systems. The identification approach is based on the Hilbert transform and the empirical mode decomposition method with free vibration response signals. Three-different types of time-varying systems, i.e., smoothly varying, periodically varying, and abruptly varying stiffness and damping of a linear time-varying system, are studied. Numerical simulations demonstrate the effectiveness and accuracy of the proposed method with single- and multi-degrees-of-freedom dynamical systems.

引用

页码：223 / 230

页数：8

共 23 条

[1] WAVELET-GALERKIN SOLUTIONS FOR ONE-DIMENSIONAL PARTIAL-DIFFERENTIAL EQUATIONS [J].

AMARATUNGA, K ;

WILLIAMS, JR ;

QIAN, S ;

WEISS, J .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1994, 37 (16) :2703-2716

[2]

Chan SL., 2000, Nonlinear Static and Cyclic Analysis of Steel Frames with Semi-Rigid Connections

[3] NONLINEAR-SYSTEM VIBRATION ANALYSIS USING HILBERT TRANSFORM .2. FORCED VIBRATION ANALYSIS METHOD FORCEVIB [J].

FELDMAN, M .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1994, 8 (03) :309-318

[4] NONLINEAR-SYSTEM VIBRATION ANALYSIS USING HILBERT TRANSFORM .1. FREE-VIBRATION ANALYSIS METHOD FREEVIB [J].

FELDMAN, M .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1994, 8 (02) :119-127

[5] A wavelet-based approach for the identification of linear time-varying dynamical systems [J].

Ghanem, R ;

Romeo, F .

JOURNAL OF SOUND AND VIBRATION, 2000, 234 (04) :555-576

[6]

Hou Z., 2000, J ENG MECH, V124, P1059

[7] The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis [J].

Huang, NE ;

Shen, Z ;

Long, SR ;

Wu, MLC ;

Shih, HH ;

Zheng, QN ;

Yen, NC ;

Tung, CC ;

Liu, HH .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1971) :903-995

[8] Identification of nonlinear structural dynamic systems using wavelets [J].

Kitada, Y .

JOURNAL OF ENGINEERING MECHANICS-ASCE, 1998, 124 (10) :1059-1066

[9] A WAVELET PACKET APPROACH TO TRANSIENT SIGNAL CLASSIFICATION [J].

LEARNED, RE ;

WILLSKY, AS .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 1995, 2 (03) :265-278

[10] REAL-TIME SYSTEM-IDENTIFICATION OF DEGRADING STRUCTURES [J].

LIN, CC ;

SOONG, TT ;

NATKE, HG .

JOURNAL OF ENGINEERING MECHANICS-ASCE, 1990, 116 (10) :2258-2274

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