• CN:11-2187/TH
  • ISSN:0577-6686

›› 2008, Vol. 44 ›› Issue (3): 99-104.

• 论文 • 上一篇    下一篇

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磨合吸引子的演变规律

朱华;葛世荣;吕亮;陆斌斌   

  1. 中国矿业大学摩擦学与可靠性工程研究所
  • 发布日期:2008-03-15

Evolvement Rule of Running-in Attractor

ZHU Hua;GE Shirong;LÜ Liang;LU Binbin   

  1. Institute of Tribology and Reliability Engineering, China University of Mining and Technology
  • Published:2008-03-15

摘要: 为了掌握磨损过程的动力学行为规律,应用分形和混沌理论开展磨合吸引子研究。在MMW-1型摩擦磨损试验机上进行磨损试验,并提取磨损过程中的摩擦因数时间序列信号;采用延迟坐标状态相空间重构技术研究磨合吸引子的形成和消失过程,并用关联维数方法计算和研究磨合吸引子的分形维数及其变化规律。研究结果表明,磨合过程是磨合吸引子的形成过程;磨合吸引子具有高维、稳定的分形维数;在磨损过程中磨合吸引子表现出“形成-维持-消失”的演变规律。磨合吸引子演变规律对磨合状态识别和磨损过程预测具有重要的应用价值。

关键词: 分形, 混沌, 磨合, 吸引子, 相空间

Abstract: In order to know the dynamic behavior and its change regularity of wear process, the running-in attractor is studied with fractal and chaos theories. Wear tests are conducted and the time series signals of frictional coefficient are collected on an MMW-1 mode friction and wear tester. The forming and disappearing process of the running-in attractor is investigated by the technique of phase-space reconstruction by time-delay. The fractal dimension of the running-in attractor is calculated and its change law is studied with correlation-dimension method. It is found that the running-in process is the forming process of the running-in attractor, the running-in attractor has a high and stable fractal dimension and a "forming-keeping-disappearing" evolvement rule in wear process. The evolvement rule of the running-in attractor is very useful to the identification of running-in state and the prediction of wear progress.

Key words: Attractor, Chaos, Fractal, Phase-space, Running-in

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