Property and evolution of the running-in attractor in an actual dynamic system


Aiming to discuss the dynamic property and evolution of the running-in attractor in an actual dynamic system, the pin-on-disk experiments were conducted at different normal loads. The friction coefficient was extracted and taken as the research object. The phase trajectory was utilized to describe the running-in attractor formation. The correlation dimension (D) and the moving cut data-approximate entropy (MC-ApEn) were employed to explore the property and evolution of the running-in attractor. The results showed that the running-in attractor in the friction system has the nature of sensitivity to initial values, self-similarity and complexity. These properties have a direct strong correlation with the normal load. This study reveals the chaotic nature of an actual dynamic system. And it is conductive to reveal the tribological mechanism in perspective of nonlinear dynamics and guide active design of tribology, so as to improve the service performance and economic benefits for mechanical equipment.

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This project is supported by the National Natural Science Foundation of China (Grant Nos. 51775546, 51675483), Fundamental Research Funds for the Provincial Universities of Zhejiang (RF-A2019008) and Foundations (Grant No. 61409230606).

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Correspondence to Cong Ding.

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Ding, C. Property and evolution of the running-in attractor in an actual dynamic system. Nonlinear Dyn 102, 1019–1031 (2020).

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  • Running-in attractor
  • Friction system
  • Sensitivity to initial value
  • Self-similarity
  • Complexity