Investigation on spatial distribution and evolution features of the running-in attractor based on a new approach

Abstract

Purpose

The purpose of this work is to comprehensively reveal the spatial distribution and evolution features of a running-in attractor.

Design/methodology/approach

The friction coefficient signals extracted from wear experiments are reconstructed. A projected matrix is obtained based on the reconstructed matrix. Then the approach of three-dimensional (3D) histogram of phase points is proposed, which is used to intuitively characterize the complex properties of the running-in attractor.

Findings

The space occupied by the running-in attractor gradually contracts, then stabilizes and finally expands; the maximum of phase points number in a certain bin initially decreases, then keeps stable and finally increases rapidly; yet the percentage of bins number storing phase points shows an inverse variation tendency. Consequently, 3D histogram evolves from a nonuniform state to a uniform state then returns back to the nonuniform state, which indicates the evolution rule of “formation, stabilization and disappearance” of the running-in attractor.

Originality/value

Characterization on the features of the running-in attractor can provide valuable information about friction systems and their dynamic behaviors.

Citation

Ding, C., Zhu, H., Sun, G., Wei, C.L. and Jiang, Y. (2018), "Investigation on spatial distribution and evolution features of the running-in attractor based on a new approach", Industrial Lubrication and Tribology, Vol. 70 No. 9, pp. 1636-1641. https://doi.org/10.1108/ILT-06-2018-0217