Research on non-linear coupling characteristics of complex materiel accident based on WPD-MF

doi:10.16265/j.cnki.issn1003-3033.2019.12.016

Abstract

Abstract: In order to better analyze non-linear coupling characteristics and causes of complex materiel accidents, MF detrended fluctuation analysis (MFDFA) was improved by using WPD, and MF spectrum was analyzed with q^th moment partition function. Secondly, influence on multifractality of long-range correlation and fated-tail distribution of nonlinear time series was discussed through comparing MF spectrum of two kinds of transformed time series, random shuffling and phase randomization. Finally, with class A flight accidents data of United States air force (USAF) from 1946 to 1996 as an example, non-linear coupling characteristics of those accidents were analyzed. The results show that it has obvious multifractality with its distribution range of general hurst index and fractal spectrum width at [1.213 8, 3.431 4] and [0.293 7,1.702 5] respectively. The major cause for its multifractality is long range correlation and minor one is fated-tail distribution.

Key words: complex materiel, non-linear coupling, wavelet packet de-noising (WPD), multi-fractal (MF), general hurst index

CLC Number:

X928.02

LI Chao. Research on non-linear coupling characteristics of complex materiel accident based on WPD-MF[J]. China Safety Science Journal, 2019, 29(12): 97-102.

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