关键词: Lyapunov指数, 分形维数, 功率谱, 混沌, 摩擦学系统

Abstract: In order to fully realize the complicated characteri- stics of the tribological system, the chaotic characteristics of the tribologial behaviors are investigated in quantitative methods. The sequence signals of frictional force and vibration were collected on a pin-on-disc wear tester. Their chaotic chara- cteristics are proved with the power spectrum, the fractal dimension and the Lyapunov exponent together. It is proved that the sequence signals of the frictional force and vibration have wide and continuous power spectrums, fractional dimensions and positive Lyapunov exponents, that is, frictional signals have the essential features of chaos, so that the tribological system is a chaotic system.

Key words: Chaos, Fractal dimension, Lyapunov exponent, Power spectrum, Tribological system