Poles tracking of weakly nonlinear structures using a Bayesian smoothing method

被引：6

作者：

Stephan, Cyrille ^{[1
]}

Festjens, Hugo ^{[2
]}

Renaud, Franck ^{[2
]}

Dion, Jean-Luc ^{[2
]}

机构：

[1] Off Natl Etud & Rech Aerosp, F-92322 Chatillon, France

[2] SUPMECA St Ouen, St Ouen, France

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2017年 / 84卷

关键词：

Modal testing; Frequency; Damping; Identification; Unscented Kalman filter; Expectation-Maximization algorithm; HILBERT TRANSFORM; IDENTIFICATION; PARAMETERS; TIME;

D O I：

10.1016/j.ymssp.2015.05.028

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper describes a method for the identification and the tracking of poles of a weakly nonlinear structure from its free responses. This method is based on a model of multichannel damped sines whose parameters evolve over time. Their variations are approximated in discrete time by a nonlinear state space model. States are estimated by an iterative process which couples a two-pass Bayesian smoother with an Expectation Maximization (EM) algorithm. The method is applied on numerical and experimental cases. As a result, accurate frequency and damping estimates are obtained as a function of amplitude. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：136 / 151

页数：16

共 37 条

[11] Govers Y., 2014, P ISMA 2014 INT C NO
[12] Experimental identification of nonlinear dynamic properties of built-up structures
Heller, L.
Foltete, E.
Piranda, J.
[J]. JOURNAL OF SOUND AND VIBRATION, 2009, 327 (1-2) : 183 - 196
[13] Huang N.E., 1971, Proc. A, V454, P903, DOI [10.1098/rspa.1998.0193, DOI 10.1098/RSPA.1998.0193, 10.1098/rspa]
[14] A new view of nonlinear water waves: The Hilbert spectrum
Huang, NE
Shen, Z
Long, SR
[J]. ANNUAL REVIEW OF FLUID MECHANICS, 1999, 31 : 417 - 457
[15] A review on Hilbert-Huang transform: method and its applications to geophysical studies
Huang, Norden E.
Wu, Zhaohua
[J]. REVIEWS OF GEOPHYSICS, 2008, 46 (02)
[16] Iwan W.D., 1969, P 4 WORLD C EARTHQ E
[17] A DISTRIBUTED-ELEMENT MODEL FOR HYSTERESIS AND ITS STEADY-STATE DYNAMIC RESPONSE
IWAN, WD
[J]. JOURNAL OF APPLIED MECHANICS, 1966, 33 (04): : 893 - +
[18] Unscented filtering and nonlinear estimation
Julier, SJ
Uhlmann, JK
[J]. PROCEEDINGS OF THE IEEE, 2004, 92 (03) : 401 - 422
[19] Kay S. M., 1988, Modern spectral estimation: theory and application
[20] Nonlinear normal modes, Part I: A useful framework for the structural dynamicist
Kerschen, G.
Peeters, M.
Golinval, J. C.
Vakakis, A. F.
[J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2009, 23 (01) : 170 - 194

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