Analysis of non-linear systems using wavelets

Authors
Citation
Wj. Staszewski, Analysis of non-linear systems using wavelets, P I MEC E C, 214(11), 2000, pp. 1339-1353
Citations number
60
Categorie Soggetti
Mechanical Engineering
Journal title
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE
ISSN journal
09544062 → ACNP
Volume
214
Issue
11
Year of publication
2000
Pages
1339 - 1353
Database
ISI
SICI code
0954-4062(2000)214:11<1339:AONSUW>2.0.ZU;2-X
Abstract
Analysis of non-linear systems is an essential part of engineering structur al dynamics. A number of methods have been developed in recent years. Class ical Fourier-based methods have been extended to the use of phase plane, co mbined time-frequency, time-scale approaches and multidimensional spectra. This paper is an attempt to collate in one place some of the recent advance s in wavelet analysis for the study of non-linear systems. This includes me thods related to system identification based on wavelet ridges and skeleton s, damping estimation procedures, wavelet-based frequency response function s, cross-wavelet analysis, self-similar signals, coherent structures and ch aos.