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
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
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页码:136 / 151
页数:16
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