0
TECHNICAL PAPERS

Identification of Linear Time-Varying Dynamical Systems Using Hilbert Transform and Empirical Mode Decomposition Method

[+] Author and Article Information
Z. Y. Shi

Department of Civil and Structural Engineering, Hong Kong Polytechnic University, Yuk Choi Road, Hunghom Kowloon, Hong Kong oooo, Hong Kongcezyshi@polyu.edu.hk

S. S. Law

Department of Civil and Structural Engineering, Hong Kong Polytechnic University, Yuk Choi Road, Hunghom Kowloon, Hong Kong oooo, Hong Kongcesslaw@polyu.edu.hk

J. Appl. Mech 74(2), 223-230 (Jan 17, 2006) (8 pages) doi:10.1115/1.2188538 History: Received May 02, 2005; Revised January 17, 2006

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.

Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

2 DOF linear time-varying system

Grahic Jump Location
Figure 2

Smoothly varying change of SDOF system: identified stiffness coefficient

Grahic Jump Location
Figure 3

Smoothly varying change of SDOF system: identified damping coefficient

Grahic Jump Location
Figure 4

Smoothly varying change of 2 DOF system: identified stiffness coefficient k1 (from both IMFs)

Grahic Jump Location
Figure 5

Smoothly varying change of 2 DOF system: identified stiffness coefficient k2 (from both IMFs)

Grahic Jump Location
Figure 6

Smoothly varying change of 2-MDOF system: identified stiffness coefficient k2 (from the second IMF)

Grahic Jump Location
Figure 7

Abruptly varying change of SDOF system: instantaneous frequency versus time

Grahic Jump Location
Figure 8

Abruptly varying change of SDOF system: identified stiffness coefficient

Grahic Jump Location
Figure 9

Abruptly varying change of 2 DOF system: identified stiffness coefficient k1 (from both IMFs)

Grahic Jump Location
Figure 10

Abruptly varying change of 2 DOF system: identified stiffness coefficient k2 (from both IMFs)

Grahic Jump Location
Figure 11

Periodically varying change of SDOF system: identified stiffness coefficient

Grahic Jump Location
Figure 12

Periodically varying change of SDOF system: identified damping coefficient

Grahic Jump Location
Figure 13

Periodically varying change of 2 DOF system: instantaneous frequency versus time (from first IMF of the second DOF)

Grahic Jump Location
Figure 14

Periodically varying change of 2 DOF system: identified stiffness coefficient k1 (from both IMFs)

Grahic Jump Location
Figure 15

Periodically varying change of 2 DOF system: identified stiffness coefficient k2 (from both IMFs)

Grahic Jump Location
Figure 16

Periodically varying change of 2 DOF system: identified damping coefficient c1 (from both IMFs)

Grahic Jump Location
Figure 17

Periodically varying change of 2 DOF system: identified damping coefficient c2 (from both IMFs)

Grahic Jump Location
Figure 18

Periodically varying change of 2 DOF system: identified stiffness coefficient k1 (from the first IMF)

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In