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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
increasing consumer satisfaction. Particularly in special machine engineering, ensuring …
Synthesis of nonlinear frequency responses with experimentally extracted nonlinear modes
Determining frequency response curves is a common task in the vibration analysis of
nonlinear systems. Measuring nonlinear frequency responses is often challenging and time …
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 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 …
potential in wave manipulation and vibration reduction. However, most of the studies are …