Identification of nonlinear normal modes of engineering structures under broadband forcing

被引：39

作者：

Noel, Jean-Philippe ^{[1
]}

Renson, L. ^{[1
]}

Grappasonni, C. ^{[1
]}

Kerschen, G. ^{[1
]}

机构：

[1] Univ Liege, Aerosp & Mech Engn Dept, Space Struct & Syst Lab, 1 Chemin Chevreuils B52-3, B-4000 Liege, Belgium

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2016年 / 74卷

基金：

欧洲研究理事会;

关键词：

Nonlinear normal modes; Experimental data; Broadband excitation; Nonlinear system identification; Numerical continuation; FREQUENCY-DOMAIN METHOD; SYSTEM-IDENTIFICATION; MODAL-ANALYSIS; VIBRATING STRUCTURES; PART I; COMPUTATION; TIME; APPROPRIATION;

D O I：

10.1016/j.ymssp.2015.04.016

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear normal modes (NNMs) under broadband forcing. The first step processes acquired input and output data to derive an experimental state-space model of the structure. The second step converts this state-space model into a model in modal space from which NNMs are computed using shooting and pseudo-arclength continuation. The method is demonstrated using noisy synthetic data simulated on a cantilever beam with a hardening-softening nonlinearity at its free end. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：95 / 110

页数：16

共 50 条

[21] ON THE RESONANT NONLINEAR NORMAL MODES
Zhang Xinhua
PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 4, PTS A-C, 2010, : 1645 - 1648
[22] Damage identification in nonlinear periodic structures utilizing the dynamics of intrinsic localized modes
Thota, M.
Harne, R. L.
Wang, K. W.
ACTIVE AND PASSIVE SMART STRUCTURES AND INTEGRATED SYSTEMS 2015, 2015, 9431
[23] Study on modal parameter identification of engineering structures based on nonlinear characteristics
Guo, Wei
Rubaiee, Saeed
Ahmed, Anas
Othman, Asem Majed
Khosla, Atul
NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2022, 11 (01): : 92 - 99
[24] Optimization of hardening/softening behavior of plane frame structures using nonlinear normal modes
Dou, Suguang
Jensen, Jakob Sondergaard
COMPUTERS & STRUCTURES, 2016, 164 : 63 - 74
[25] Phase resonance testing of highly flexible structures: Measurement of conservative nonlinear modes and nonlinear damping identification
Debeurre, Marielle
Benacchio, Simon
Grolet, Aurelien
Grenat, Clement
Giraud-Audine, Christophe
Thomas, Olivier
MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2024, 215
[26] USAGE OF NONLINEAR NORMAL MODES IN DYNAMICS
Byrtus, M.
ENGINEERING MECHANICS 2011, 2011, : 71 - 74
[27] Stability of strongly nonlinear normal modes
Recktenwald, Geoffrey
Rand, Richard
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (07) : 1128 - 1132
[28] Effect of thermoelastic damping on nonlinear vibrations of a microbeam under electrostatic actuation using nonlinear normal modes
Farvandi, Ahad
Karami Mohammadi, Ardeshir
JOURNAL OF VIBRATION AND CONTROL, 2024, 30 (23-24) : 5309 - 5320
[29] Identifying the significance of nonlinear normal modes
Hill, T. L.
Cammarano, A.
Neild, S. A.
Barton, D. A. W.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2199):
[30] Nonlinear normal modes of a cantilever beam
Nayfeh, AH
Chin, C
Nayfeh, SA
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 1995, 117 (04): : 477 - 481

← 1 2 3 4 5 →