Nonlinear analysis of time series of vibration data from a friction brake : SSA, PCA, and MFDFA

Publikationstyp
Journal Article
Date Issued
2014-10-07
Sprache
English
Author(s)
Vitanov, Nikolay K.  
Hoffmann, Norbert P.  orcid-logo
Wernitz, Boris  
Institut
Strukturdynamik M-14  
TORE-URI
http://hdl.handle.net/11420/9512
Journal
Chaos, solitons & fractals  
Volume
69
Start Page
90
End Page
99
Citation
Chaos, Solitons and Fractals 69 (Dec.): 90-99 (2014)
Publisher DOI
10.1016/j.chaos.2014.09.010
Scopus ID
2-s2.0-84952319217
ArXiv ID
1410.6274v1
Publisher
Elsevier Science
We use the methodology of singular spectrum analysis (SSA), principal component analysis (PCA), and multi-fractal detrended fluctuation analysis (MFDFA), for investigating characteristics of vibration time series data from a friction brake. SSA and PCA are used to study the long time-scale characteristics of the time series. MFDFA is applied for investigating all time scales up to the smallest recorded one. It turns out that the majority of the long time-scale dynamics, that is presumably dominated by the structural dynamics of the brake system, is dominated by very few active dimensions only and can well be understood in terms of low dimensional chaotic attractors. The multi-fractal analysis shows that the fast dynamical processes originating in the friction interface are in turn truly multi-scale in nature.
Subjects
Nonlinear Sciences - Chaotic Dynamics
Nonlinear Sciences - Chaotic Dynamics
DDC Class
500: Naturwissenschaften
530: Physik