Numerical computation of nonlinear normal modes in mechanical engineering

L Renson, G Kerschen, B Cochelin - Journal of Sound and Vibration, 2016 - Elsevier
This paper reviews the recent advances in computational methods for nonlinear normal
modes (NNMs). Different algorithms for the computation of undamped and damped NNMs …

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 modal analysis of nonconservative systems: Extension of the periodic motion concept

M Krack - Computers & Structures, 2015 - Elsevier
As the motions of nonconservative autonomous systems are typically not periodic, the
definition of nonlinear modes as periodic motions cannot be applied in the classical sense …

A phase resonance approach for modal testing of structures with nonlinear dissipation

M Scheel, S Peter, RI Leine, M Krack - Journal of Sound and Vibration, 2018 - Elsevier
The concept of nonlinear modes is useful for the dynamical characterization of nonlinear
mechanical systems. While efficient and broadly applicable methods are now available for …

Nonlinear damping quantification from phase-resonant tests under base excitation

F Müller, L Woiwode, J Gross, M Scheel… - Mechanical Systems and …, 2022 - Elsevier
The present work addresses the experimental identification of amplitude-dependent modal
parameters (modal frequency, damping ratio, Fourier coefficients of periodic modal …

A nonlinear component mode synthesis method for the computation of steady-state vibrations in non-conservative systems

C Joannin, B Chouvion, F Thouverez, JP Ousty… - … Systems and Signal …, 2017 - Elsevier
This paper presents an extension to classic component mode synthesis methods to compute
the steady-state forced response of nonlinear and dissipative structures. The procedure …

Computational prediction of structure-borne noise in a two-stage double-helical gearbox using harmonic balance method

A Beinstingel, S Schabert, M Heider… - … Systems and Signal …, 2023 - Elsevier
The acoustics of gearboxes contribute as a quality feature to the success of a gear design by
increasing consumer satisfaction. Particularly in special machine engineering, ensuring …

Synthesis of nonlinear frequency responses with experimentally extracted nonlinear modes

S Peter, M Scheel, M Krack, RI Leine - Mechanical Systems and Signal …, 2018 - Elsevier
Determining frequency response curves is a common task in the vibration analysis of
nonlinear systems. Measuring nonlinear frequency responses is often challenging and time …

Reduced-order modelling using nonlinear modes and triple nonlinear modal synthesis

C Joannin, F Thouverez, B Chouvion - Computers & Structures, 2018 - Elsevier
This paper introduces a novel reduced-order modelling technique well-suited to the study of
nonlinear vibrations in large finite element models. The method combines the concepts of …

Nonlinear dispersion relationships and dissipative properties of damped metamaterials embedding bistable attachments

T Wang, C Touzé, H Li, Q Ding - Nonlinear Dynamics, 2024 - Springer
Damped metamaterials embedded with numerous micro-bistable attachments hold great
potential in wave manipulation and vibration reduction. However, most of the studies are …