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.