CAJ | 학술논문

为研究球轴承振动信号的非线性分形特性，对 Hurst 指数及多重分形计算分形特征的方法进行改进。采用2次分割充分利用数据，并对不同状态振动的 Hurst 指数和多重分形谱的变化规律进行了仿真及试验研究。结果表明：正常状态振动呈现正的持续性，故障状态振动具有反持续性，故障状态振动的波动影响范围比正常状态振动的小；振动信号具有不均匀的自相似性（即多重分形特征），振动状态与多重分形谱的形状之间存在着对应关系。
위연구구축승진동신호적비선성분형특성，대 Hurst 지수급다중분형계산분형특정적방법진행개진。채용2차분할충분이용수거，병대불동상태진동적 Hurst 지수화다중분형보적변화규률진행료방진급시험연구。결과표명：정상상태진동정현정적지속성，고장상태진동구유반지속성，고장상태진동적파동영향범위비정상상태진동적소；진동신호구유불균균적자상사성（즉다중분형특정），진동상태여다중분형보적형상지간존재착대응관계。
In order to study nonlinear fractal characteristics of vibration signals on ball bearings,the computational method for Hurst index and multifractal are improved.The data is efficiently used by double segmentation,the variation rule for Hurst index and mulifractal spectrum of vibration under different states are simulated and experimentally stud-ied.The results show that the vibration under normal state is correlated positively,the vibration under abnormal state is correlated negatively,but the influence of normal state on signal in fluctuations is stronger than that of abnormal states;the vibration signal have characteristics of an uneven self -similarity (e.g.multifractal behavior),there is a corre-sponding relationship between vibration state and shape of mulifractal spectrum.