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首页> 外文期刊>Mechanical systems and signal processing >Envelope calculation of the multi-component signal and its application to the deterministic component cancellation in bearing fault diagnosis
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Envelope calculation of the multi-component signal and its application to the deterministic component cancellation in bearing fault diagnosis

机译：多分量信号的包络计算及其在轴承故障诊断中确定性分量消除中的应用

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摘要

Commonly presented as cyclic impulse responses with some degrees of randomness, the vibrations induced by bearing faults are multi-component signals and usually overwhelmed by other deterministic components, which may degrade the efficiency of the traditional envelope analysis used for bearing fault feature extraction. In this paper, the envelope of the multi-component signal, including both discrete frequency components and cyclic impulse responses, is theoretically calculated by the Hilbert transform in both time and frequency domains at first. Then, a novel deterministic component cancellation method is proposed based on the iterative calculation of the signal envelope. Finally, simulations and experiments are used to validate the theoretical calculation and the proposed deterministic component cancellation method. It is indicated that the oscillation part of the envelope is dominated by the cross-terms of the multi-component signal, and that the cross-terms between a discrete frequency component and cyclic impulse responses present as new cyclic impulse responses, which retain the cyclic feature of the original ones. Furthermore, the deterministic component can be canceled by iteratively subtracting the direct current (DC) offset of the envelope. Compared with the cepstrum pre-whiten (CPW) method, used to separate the deterministic (discrete frequency) component from the random component (vibration induced by the bearing fault), the proposed method is more efficient to the shifting of the cyclic impulse responses from the powerful deterministic component with little disruption, and is more suitable for the real time signal processing owing to the high efficient calculation of the Hilbert transform.
机译：轴承故障引起的振动通常表现为具有一定程度的随机性的循环脉冲响应，是多分量信号，通常会被其他确定性分量所淹没，这可能会降低用于轴承故障特征提取的传统包络分析的效率。本文首先通过希尔伯特变换在时域和频域上从理论上计算出包括离散频率分量和循环脉冲响应的多分量信号的包络。然后，基于信号包络的迭代计算，提出了一种新颖的确定性分量消除方法。最后，通过仿真和实验验证了理论计算和所提出的确定性分量消除方法的有效性。结果表明，包络线的振荡部分受多分量信号的交叉项的支配，离散频率分量和循环脉冲响应之间的交叉项以新的循环脉冲响应的形式出现，并保持了循环原来的功能。此外，可以通过迭代减去包络的直流（DC）偏移来消除确定性分量。与用于将确定性分量（离散频率）与随机分量（由轴承故障引起的振动）分开的倒谱预白化（CPW）方法相比，所提出的方法更有效地转移了来自Hilbert变换的高效计算功能，是功能强大的确定性组件，几乎没有中断，并且更适合于实时信号处理。

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