Nonlinear system identification in structural dynamics: 10 more years of progress

JP Noël, G Kerschen - Mechanical Systems and Signal Processing, 2017 - Elsevier
Nonlinear system identification is a vast research field, today attracting a great deal of
attention in the structural dynamics community. Ten years ago, an MSSP paper reviewing …

Nonlinear normal modes of vibrating mechanical systems: 10 years of progress

Y Mikhlin, KV Avramov - Applied …, 2023 - asmedigitalcollection.asme.org
This paper contains review of the theory and applications of nonlinear normal modes, which
are developed during last decade. This review has more than 200 references. It is a …

Nonlinear normal modes, modal interactions and isolated resonance curves

RJ Kuether, L Renson, T Detroux… - Journal of Sound and …, 2015 - Elsevier
The objective of the present study is to explore the connection between the nonlinear normal
modes of an undamped and unforced nonlinear system and the isolated resonance curves …

Reduced-order modelling based on non-linear modes

CEN Mazzilli, PB Gonçalves, GR Franzini - International Journal of …, 2022 - Elsevier
This paper addresses a detailed literature review on non-linear modes of vibration and its
role in obtaining more efficient reduced-order models, as compared to those obtained by …

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

A Givois, A Grolet, O Thomas, JF Deü - Nonlinear Dynamics, 2019 - Springer
This paper presents a general methodology to compute nonlinear frequency responses of
flat structures subjected to large amplitude transverse vibrations, within a finite element …

Application of control-based continuation to a nonlinear structure with harmonically coupled modes

L Renson, AD Shaw, DAW Barton, SA Neild - Mechanical Systems and …, 2019 - Elsevier
This paper presents a systematic method for exploring the nonlinear dynamics of multi-
degree-of-freedom (MDOF) physical experiments. To illustrate the power of this method …

Identification of nonlinear normal modes of engineering structures under broadband forcing

JP Noël, L Renson, C Grappasonni… - Mechanical Systems and …, 2016 - Elsevier
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 …

Modal balancing for ball bearing-rotor system using nonlinear normal modes

T Wang, Q Ding - Journal of Sound and Vibration, 2023 - Elsevier
Rotor dynamic balancing procedure relies on the linearisation hypothesis of the rotor
system. However, some mechanical elements constituting a rotor system behave in various …

Data-free non-intrusive model reduction for nonlinear finite element models via spectral submanifolds

M Li, T Thurnher, Z Xu, S Jain - Computer Methods in Applied Mechanics …, 2025 - Elsevier
The theory of spectral submanifolds (SSMs) has emerged as a powerful tool for constructing
rigorous, low-dimensional reduced-order models (ROMs) of high-dimensional nonlinear …

A sensitivity-based nonlinear finite element model updating method for nonlinear engineering structures

Z Cao, Q Fei, D Jiang, RK Kapania, S Wu… - Applied Mathematical …, 2021 - Elsevier
This paper presents a novel non-intrusive sensitivity-based nonlinear finite element model
updating method in which the local nonlinearity of structure is considered. The sensitivity …