Nonlinear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions

被引：28

作者：

Peng, Zx ^{[1
]}

Lang, Z. Q. ^{[1
]}

Billings, S. A. ^{[1
]}

机构：

[1] Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S1 3JD, S Yorkshire, England

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2008年 / 22卷 / 07期

基金：

英国工程与自然科学研究理事会;

关键词：

nonlinear system; parameter estimation; Volterra series; nonlinear output frequency-response function; nonlinear vibration;

D O I：

10.1016/j.ymssp.2008.03.011

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Based on the concept of nonlinear output frequency-response functions (NOFRFs), a novel algorithm is developed in this paper to estimate the nonlinear stiffness and damping parameters for multi-degree-of-freedom (MDOF) nonlinear systems. The validity of this algorithm is demonstrated by numerical studies. This work is an extension and complement of the authors' previous studies, which involve the study of the properties of the NOFRFs of MDOF nonlinear systems, and the estimation of the system linear stiffness and damping parameters. These results build up a NOFRF-based systematic approach for the analysis of MDOF nonlinear systems. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1582 / 1594

页数：13

共 17 条

[1] A bound for the magnitude characteristics of nonlinear output frequency response functions .1. Analysis and computation [J].

Billings, SA ;

Lang, ZQ .

INTERNATIONAL JOURNAL OF CONTROL, 1996, 65 (02) :309-328

[2] Non-linear parameter estimation with Volterra series using the method of recursive iteration through harmonic probing [J].

Chatterjee, A ;

Vyas, NS .

JOURNAL OF SOUND AND VIBRATION, 2003, 268 (04) :657-678

[3] Convergence analysis of Volterra series response of nonlinear systems subjected to harmonic excitation [J].

Chatterjee, A ;

Vyas, NS .

JOURNAL OF SOUND AND VIBRATION, 2000, 236 (02) :339-358

[4] New bound characteristics of NARX model in the frequency domain [J].

Jing, X. J. ;

Lang, Z. Q. ;

Billings, S. A. .

INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (01) :140-149

[5] Non-linear parameter estimation using Volterra and Wiener theories [J].

Khan, AA ;

Vyas, NS .

JOURNAL OF SOUND AND VIBRATION, 1999, 221 (05) :805-821

[6] Energy transfer properties of non-linear systems in the frequency domain [J].

Lang, ZQ ;

Billings, SA .

INTERNATIONAL JOURNAL OF CONTROL, 2005, 78 (05) :345-362

[7] Output frequency characteristics of nonlinear systems [J].

Lang, ZQ ;

Billings, SA .

INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (06) :1049-1067

[8] Estimation of non-linear system parameters using higher-order frequency response functions [J].

Lee, GM .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 1997, 11 (02) :219-228

[9] Linear parameter estimation for multi-degree-of-freedom nonlinear systems using nonlinear output frequency-response functions [J].

Peng, Z. K. ;

Lang, Z. Q. ;

Billings, S. A. .

MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2007, 21 (08) :3108-3122

[10] Non-linear output frequency response functions of MDOF systems with multiple non-linear components [J].

Peng, Z. K. ;

Lang, Z. Q. ;

Billings, S. A. .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2007, 42 (07) :941-958

← 1 2 →