Nonlinear Analysis in Gearbox Faults Diagnosis Using Correlation Dimension

机译：关联维数在齿轮箱故障诊断中的非线性分析

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In this paper, a study of the correlation dimension in gearbox condition monitoring is presented. The correlation dimension, a concept from the chaos and fractal dynamics theory, can be used to characterize the properly of reconstructed systcm phase space quantitatively. A thnce-step analysis method using correlation dimension is presented: (1) Firstly, the original measured signals are preprocessed using nonlinear system noise-reduction methods; (2) Reconstruct underlying system state space based on the nonlinear system reconstruction theory; (3) Calculate the correlation dimension using GP algorithm. The measured industrial gearbox vibration signals are analyzed using above method. The results show that the different running states such as normal, with a cracked tooth and with a broken tooth can be classified clearly using the correlation dimension.

机译：本文介绍了齿轮箱状况监测中的相关尺寸的研究。相关尺寸，来自混沌和分形动力学理论的概念，可用于定量地表征重建的Systcm相空间的正确性。使用相关维度的Thnce-Step分析方法：（1）首先，使用非线性系统降噪方法预处理原始测量信号; （2）基于非线性系统重建理论重建基础系统状态空间; （3）使用GP算法计算相关维度。使用上述方法分析测量的工业齿轮箱振动信号。结果表明，可以使用相关尺寸清晰地分类为正常的不同运行状态，例如正常的牙齿和破碎的齿。

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《International conference on vibration engineering;ICVE'98》|1998年|718-722|共5页
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Jiandong Jiang; Jin Chen;
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正文语种
中图分类工程振动学;
关键词
gearbox; condition monitoring; correlation dimension; chaos;

机译：变速箱状态监测;相关维度混沌;

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1. An integrated method based on CEEMD-SampEn and the correlation analysis algorithm for the fault diagnosis of a gearbox under different working conditions [J] . Jiayu Chen, Dong Zhou, Chuan Lyu, Mechanical systems and signal processing . 2018,第DECa期

机译：基于CEEMD-SampEn和相关分析算法的齿轮箱故障工况综合诊断方法
2. Fault diagnosis of gearbox using empirical mode decomposition and multi-fractal detrended cross-correlation analysis [J] . Liu Hongmei, Zhang Jichang, Cheng Yujie, Journal of Sound and Vibration . 2016,第Null期

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3. Value of autocorrelation analysis in vehicle gearbox fault diagnosis [J] . Mohamed El Morsy, Gabriela Achtenova International Journal of Vehicle Noise and Vibration . 2015,第2期

机译：自相关分析在车辆变速箱故障诊断中的价值
4. Nonlinear Analysis in Gearbox Faults Diagnosis Using Correlation Dimension [C] . International conference on vibration engineering . 1998

机译：使用相关维度齿轮箱故障诊断的非线性分析
5. Condition monitoring and fault diagnosis by principal component analysis and nonlinear PCA. [D] . Shan, Jiefeng. 2006

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6. Fault Diagnosis of Planetary Gearbox Based on Adaptive Order Bispectrum Slice and Fault Characteristics Energy Ratio Analysis [O] . Zhaoyang Shen, Zhanqun Shi, Dong Zhen, 2020

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7. Compound Fault Diagnosis for Gearbox Based Using of Euclidean Matrix Sample Entropy and One-Dimensional Convolutional Neural Network [O] . Decai Zhang, Xueping Ren, Hanyue Zuo 2021

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8. Fault Diagnosis of Nonlinear Analog Circuits. Volume III. Fault Diagnosis in the Tableau Context [R] . Rapisarda, L., DeCarlo, R. 1983

机译：非线性模拟电路的故障诊断。第三卷。 Tableau环境中的故障诊断

Nonlinear Analysis in Gearbox Faults Diagnosis Using Correlation Dimension

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