Hilbert transform in vibration analysis

Michael Feldman

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Hilbert transform in vibration analysis

机译：希尔伯特变换在振动分析中的应用

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摘要

This paper is a tutorial on Hilbert transform applications to mechanical vibration. The approach is accessible to non-stationary and nonlinear vibration application in the time domain. It thrives on a large number of examples devoted to illustrating key concepts on actual mechanical signals and demonstrating how the Hilbert transform can be taken advantage of in machine diagnostics, identification of mechanical systems and decomposition of signal components.

机译：本文是有关希尔伯特变换在机械振动中的应用的教程。该方法可用于时域中的非平稳和非线性振动应用。它以大量示例为基础，这些示例致力于说明有关实际机械信号的关键概念，并演示如何在机器诊断，机械系统识别和信号分量分解中利用希尔伯特变换。

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来源
《Mechanical systems and signal processing》 |2011年第3期|p.735-802|共68页
作者
Michael Feldman;
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作者单位

Faculty of Mechanical Engineering, Technion-Israel Institute of Technology, Israel;

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原文格式 PDF
正文语种 eng
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关键词
hilbert transform; envelope; instantaneous frequency; nonlinear system identification; non-stationary signal decomposition;

机译：希尔伯特变换信封;瞬时频率非线性系统辨识非平稳信号分解;

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2. Analysis on Time-frequency Characteristics and Delay Time Identification for Blasting Vibration Signal by Hilbert-Huang Transform in Fangchenggang Nuclear Power Station [J] . Yongqing Zeng, Haibo Li, Xiang Xia, Engineering Letters . 2017,第3期

机译：防城港核电站基于希尔伯特-黄变换的爆破振动信号时频特性及时延识别分析
3. VIBRATION SIGNAL ANALYSIS OF MAIN COOLANT PUMP FLYWHEEL BASED ON HILBERT-HUANG TRANSFORM [J] . Liu Meiru, Xia Hong, Sun Lin, Nuclear engineering and technology . 2015,第2期

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4. The Combination of the Hilbert Transform and the Fourier Transform for Mechanical Vibration Signal Analysis [C] . Xiao Wang, Yan Zhu, Bo Yu International Conference on Mechatronics, Materials, Chemistry and Computer Engineering . 2015

机译：Hilbert变换和机械振动信号分析的傅立叶变换的组合
5. Some contributions to analysis: A new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space. [D] . Donnelly, Roderick Kerry. 1988

机译：对分析的一些贡献：涉及Hilbert变换的积分微分方程的广义函数的新空间，以及关于Hilbert空间上测试函数的空间的非核性的注释。
6. Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann–Hilbert approach [O] . Marco Bertola, Elliot Blackstone, Alexander Katsevich, -1

机译：有限Hilbert变换在两个相邻区间上的对角化：Riemann-Hilbert方法
7. The Combination of the Hilbert Transform and the Fourier Transform for Mechanical Vibration Signal Analysis [O] . Xiao Wang, Yan Zhu, Bo Yu 2015

机译：Hilbert变换和机械振动信号分析的傅立叶变换的组合
8. Inquiry: Effectiveness of the Complex Empirical Mode Decomposition Method, the Hilbert-Huang Transform, and the Fast-Fourier Transform for Analysis of Dynamic Objects [R] . Wallis, K. L. 2012

机译：查询：复杂经验模式分解方法，Hilbert-Huang变换和动态对象分析的快速傅里叶变换的有效性

Hilbert transform in vibration analysis

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