| 摩擦学系统的混沌特性 |
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| 引用本文： | 朱华,葛世荣.摩擦学系统的混沌特性[J].机械工程学报,2004,40(12):10-13. |
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| 作者姓名： | 朱华 葛世荣 |
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| 作者单位： | 中国矿业大学机电工程与材料学院,徐州,221008 |
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| 基金项目： | 国家杰出青年科学基金(50225519)
国家自然科学基金(50475164)
江苏省自然科学基金(BK2002116)
高等学校优秀青年教师教学科研奖励计划资助项目。 |
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| 摘 要： | 为了充分认识摩擦学系统的复杂性质,对摩擦学行为的混沌性进行了定量研究。在销-盘试验机上试验提取摩擦力和摩擦振动的时序信号,以此为研究对象,运用功率谱、分形维数和Lyapunov指数三种方法联合证明了这两种摩擦信号的混沌特性。研究表明,摩擦力和摩擦振动信号具有连续宽带的功率谱、分数维数和正的Lyapunov指数,即具有混沌行为的基本特征,从而证明了摩擦学系统的混沌性质。
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| 关 键 词： | 摩擦学系统 混沌 功率谱 分形维数 Lyapunov指数 |
| 修稿时间： | 2004年2月19日 |
CHAOTIC CHARACTERISTICS OF TRIBOLOGICAL SYSTEMS |
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| Zhu Hua Ge Shirong.CHAOTIC CHARACTERISTICS OF TRIBOLOGICAL SYSTEMS[J].Chinese Journal of Mechanical Engineering,2004,40(12):10-13. |
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| Authors: | Zhu Hua Ge Shirong |
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| Abstract: | In order to fully realize the complicated characteristics 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 characteristics are proved with the power spectrum, the fractal dimension and the Lyapunov exponent together. It is proved that the sequence signals of the fiictional 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. |
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| Keywords: | Tribological system Chaos Power spectrum Fractal dimension Lyapunov exponent |
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