多重分形近似熵与减法FCM聚类的研究及应用

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摘要提出了一种基于多重分形与近似熵相结合的信号特征量提取方法，应用于齿轮箱的故障信号诊断中。针对齿轮箱的故障信号的复杂性，先用减法聚类对提取到的信号特征量进行处理，得到初始聚类中心，然后再用模糊C 均值聚类(FCM)作进一步处理，实现齿轮箱故障的自动诊断和识别。多重分形谱提取的特征量如谱宽，可以表示信号的波动程度，而近似熵可以表示信号的复杂程度。两者结合可以得到更加准确的齿轮箱故障信号模式。减法聚类可以有效解决FCM容易陷入局部最优的问题，还可以提高收敛速度。提取的特征参数作为聚类分析的数据，通过计算数据点与聚类中心的隶属度判定所属类型，实现齿轮箱故障类型聚类以及模式识别。通过风力发电机齿轮箱故障诊断实验，证明了该方法的可行性和有效性。为齿轮箱故障诊断提供了一种新的有效途径。

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关键词 ：多重分形, 近似熵, 减法模糊聚类, 故障诊断

Abstract：A feature extraction method based on multifractal and approximate entropy is presented, which is used for gearbox fault signal. Because of the complexity of gearbox fault data, firstly subtractive clustering is used to obtain the initial cluster center of characteristics. Then fuzzy c-means clustering(FCM) is used for further processing to achieve automatic gearbox fault diagnosis and identification．The volatility of a signal can be expressed by feature values extracted by multifractal spectrum, such as spectral width; and the complexity of the signal can be represented by approximate entropy(ApEn)．Combination of above obtains patterns of gearbox faults more accurately．Problem that FCM is easily fallen into local optimum can be effectively solved by subtractive fuzzy clustering, which also improves convergence rate. Characteristic parameters are processed by clustering analysis. In order to achieve gearbox fault clustering and recognition, the membership grade of data points and cluster center is calculated. To prove the feasibility and effectiveness of the method proposed in this paper, wind turbine gearbox fault diagnosis experiment is implemented. This paper provides a new effective way for gearbox fault diagnosis.

Key words： mutifractal approximate entropy subtractive fuzzy clustering fault diagnosis

收稿日期: 2014-01-22 出版日期: 2015-09-25

引用本文:

张淑清李盼胡永涛王佳森姜万录. 多重分形近似熵与减法FCM聚类的研究及应用[J]. 振动与冲击, 2015, 34(18): 205-209.
ZHANG Shu-qing, LI Pan,HU Yong-tao,WANG Jia-sen,JIANG Wan-lu. Research and application of multifractal approximate entropy and subtractive FCM clustering. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(18): 205-209.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2015/V34/I18/205

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