Study on Characteristics of Chaotic Singular Spectrum and Applications in Rolling Bearing Fault Diagnosis

Abstract

Abstract: A new metric of chaos space structure—chaotic singular spectrum was researched and an early fault recognition algorithm for rolling bearings was proposed based on chaotic singular spectral feature extraction.First，the singular spectrum discrete form was presented， and when studying the stability of singular spectrum，logarithmic function was introduced to observe the effects of the deviation on singular spectral values more sensitively.Then，it was proved from the perspective of geometric space that the singular spectrum was a description of spatial geometry based on variance maximization，which shown that the chaotic singular spectrum was a quantitative description of spatial structure of chaotic attractor and had certain anti-noise interference ability.Numerical verifications of Lorenz system prove the stability of chaotic singular spectrum and strong anti-noise performance.After experiments,the effectiveness and practicability of this method was verified.

Key words: bearing fault characteristic, chaotic singular spectrum, stability, anti-noise ability, fault diagnosis

摘要： 研究了混沌空间结构的一种新的度量方式——混沌奇异谱，并提出一种基于混沌奇异谱特征提取的滚动轴承早期故障识别算法。给出奇异谱离散形式，并在奇异谱的稳定性分析时引入对数函数，更加敏锐地观察偏差对奇异谱值的影响。然后从几何空间角度说明奇异谱是一种基于方差极大化的空间几何结构的描述方式，表明混沌奇异谱是对混沌吸引子的空间结构的一种定量描述，且具有较强的抗噪声干扰能力。通过对Lorenz系统进行数值验证，证明了混沌奇异谱的稳定性和较强的抗噪声性能。通过实验进一步验证了该方法的有效性和实用性。

关键词: 轴承故障特征, 混沌奇异谱, 稳定性, 抗噪声能力, 故障诊断

CLC Number:

TN911.6

ZHANG Shuqing;HE Peng;ZUO Yige;CHEN Rongfei;ZHANG Yun;LIU Wan;JIANG Wanlu. Study on Characteristics of Chaotic Singular Spectrum and Applications in Rolling Bearing Fault Diagnosis[J]. China Mechanical Engineering.

张淑清;贺朋;左一格;陈荣飞;张赟;刘婉;姜万录. 混沌奇异谱特性研究及在滚动轴承故障诊断中的应用[J]. 中国机械工程.

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