Research Papers: Friction and Wear

Multifractal Detrended Fluctuation Analysis on Friction Coefficient During the Friction Process

[+] Author and Article Information
Guodong Sun, Cong Ding

School of Mechatronic Engineering,
China University of Mining and Technology,
Xuzhou 221116, China

Hua Zhu

School of Mechatronic Engineering,
China University of Mining and Technology,
Xuzhou 221116, China
e-mail: zhuhua83591917@163.com

Yuankai Zhou

School of Mechanical Engineering,
Jiangsu Provincial Key Laboratory
of Advanced Manufacturing for
Marine Mechanical Equipment,
Jiangsu University of Science and Technology,
Zhenjiang 212003, China

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received October 24, 2016; final manuscript received April 19, 2017; published online July 21, 2017. Editor: Michael Khonsari.

J. Tribol 140(1), 011601 (Jul 21, 2017) (7 pages) Paper No: TRIB-16-1339; doi: 10.1115/1.4036912 History: Received October 24, 2016; Revised April 19, 2017

The dynamic evolutionary law and tribological behavior of tribopair AISI 52100-AISI 1045 were studied via the multifractal method. Friction experiment was performed on a ring-on-disk tribometer under lubrication, and the multifractal detrended fluctuation analysis (MF-DFA) method was adapted to characterize the multifractality of the friction coefficient. The multifractal spectra first exhibited a left-hook, then right-hook, and left-hook, respectively, during the friction stages. The multifractal spectrum width W decreases in running-in friction process, maintains at small values in steady friction process, and increases rapidly in increasing friction process. Corresponding shuffled series was analyzed to distinguish that the multifractality of friction coefficient is due to the long-range correlation of the fluctuations. The results inform quantitative interpretations of friction system's tribological behavior and friction process identification.

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Grahic Jump Location
Fig. 1

Schematic diagram of ring-on-disk tribometer

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Fig. 2

Friction coefficient in friction process: (i) running-in friction stage, (ii) stable friction stage, and (iii) increasing friction stage

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Fig. 7

H(q) of the friction coefficient and corresponding shuffled time series at different stages during the friction process

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Fig. 4

MF-DFA on the friction coefficient during the friction process: (a) log–log plot of fluctuation function Fq(s) − s. q ranges from −20 to 20 in steps of 5, (b) Generalized Hurst exponent H(q) − q, (c) mass exponent τ(q) − q, and (d) multifractal spectra f(α) − α.

Grahic Jump Location
Fig. 5

Multifractal spectra of friction coefficient at different stages during the friction process

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Fig. 6

Evolution of the width W of friction coefficient during the friction process

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Fig. 3

Friction coefficient in the wear process (a) and the corresponding returns for the time series (b)



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