Considering high harmonics for identification of non-linear systems by Hilbert transform

Michael Feldman

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Considering high harmonics for identification of non-linear systems by Hilbert transform

机译：考虑高谐波以通过希尔伯特变换识别非线性系统

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The objective of this paper is to propose a new method for analysis and identification of non-linear vibration structures by considering the primary and high harmonics of the solution. The method is based on two other Hilbert transform methods:rn1. the methods for extracting the instantaneous and average dynamic structure characteristics,rn2. the Hilbert Vibration Decomposition method that splits non-stationary wideband oscillating signal into separate components.rnThe study focuses on combined non-linearities and on identification of precise dynamic parameters (natural frequencies, damping, static force characteristics) for free and forced vibration.

机译：本文的目的是通过考虑解决方案的一次谐波和高次谐波，提出一种分析和识别非线性振动结构的新方法。该方法基于其他两种希尔伯特变换方法：rn1。瞬时和平均动态结构特征的提取方法，rn2。希尔伯特振动分解法将非平稳宽带振荡信号分解为单独的分量。研究重点在于组合非线性和识别自由振动和强迫振动的精确动态参数（固有频率，阻尼，静力特性）。

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《Mechanical systems and signal processing》 |2007年第2期|943-958|共16页
作者
Michael Feldman;
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作者单位

Faculty of Mechanical Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israel;

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原文格式 PDF
正文语种 eng
中图分类机械制造工艺;
关键词
non-linear system; hilbert transform; high harmonics; identification; envelope; instantaneous frequency;

机译：非线性系统希尔伯特变换高次谐波;鉴定信封;瞬时频率;

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1. Considering high harmonics for identification of non-linear systems by Hilbert transform [J] . Michael Feldman Mechanical systems and signal processing . 2007,第2期

机译：考虑高谐波以通过希尔伯特变换识别非线性系统
2. Identification of complex non-linear modes of mechanical systems using the Hilbert-Huang transform from free decay responses [J] . Ondra V, Sever I. A., Schwingshackl C. W. Journal of Sound and Vibration . 2021,第1期

机译：使用Hilbert-Huang变换从自由衰减反应识别机械系统复杂非线性模式
3. A harmonic piecewise linearisation-wavelet transforms method for identification of non-linear vibration "black box" systems: Application in wind-induced vibration of a high-rise building [J] . Huang Dongmei, Zhu Ledong, Ren Weixin, Journal of Fluids and Structures . 2018,第期

机译：一个谐波分段线性化 - 小波变换方法，用于识别非线性振动“黑匣子”系统：在高层建筑的风力诱导振动中的应用
4. Non-linear System Identification Using the Hilbert-Huang Transform and Complex Non-linear Modal Analysis [C] . Vaclav Ondra, Ibrahim A. Sever, Christoph W. Schwingshackl IMAC Conference and Exposition on Structural Dynamics . 2017

机译：使用Hilbert-Huang变换和复杂非线性模态分析的非线性系统识别
5. Hilbert transform applications in signal analysis and non-parametric identification of linear and nonlinear systems. [D] . Wang, Zuocai. 2011

机译：Hilbert变换在线性和非线性系统的信号分析和非参数识别中的应用。
6. Exploring the Abnormal Modulation of the Autonomic Systems during Nasal Flow Limitation in Upper Airway Resistance Syndrome by Hilbert–Huang Transform [O] . Chen Lin, Men-Tzung Lo, Christian Guilleminault 2017

机译：Hilbert-Huang变换探讨上呼吸道阻力综合征鼻流受限期间自主系统的异常调节
7. Non-Linear Free Vibration Identification via the Hilbert Transform [O] . M. Feldman 2008

机译：基于希尔伯特变换的非线性自由振动识别

Considering high harmonics for identification of non-linear systems by Hilbert transform

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