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 normal modes and spectral submanifolds: existence, uniqueness and use in model reduction
G Haller, S Ponsioen - Nonlinear dynamics, 2016 - Springer
We propose a unified approach to nonlinear modal analysis in dissipative oscillatory
systems. This approach eliminates conflicting definitions, covers both autonomous and time …
systems. This approach eliminates conflicting definitions, covers both autonomous and time …
A lever-type nonlinear energy sink
A novel type of a nonlinear energy sink is proposed by introducing a lever to reduce the
necessary mass. The lever-type nonlinear energy sink is attached to a two-degree-of …
necessary mass. The lever-type nonlinear energy sink is attached to a two-degree-of …
A suspension system with quasi-zero stiffness characteristics and inerter nonlinear energy sink
In this article, a novel vibration control scheme of suspension systems is proposed. It
combines the advantages of quasi-zero stiffness isolator, nonlinear energy sink absorber …
combines the advantages of quasi-zero stiffness isolator, nonlinear energy sink absorber …
Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink
J Zang, RQ Cao, YW Zhang - Nonlinear Dynamics, 2021 - Springer
This work proposes on a novel continuum vibratory absorber that integrates a lever-type
nonlinear energy sink (LNES) with asymmetric elastic boundary into viscoelastic Euler …
nonlinear energy sink (LNES) with asymmetric elastic boundary into viscoelastic Euler …
Reduced-order modelling based on non-linear modes
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 …
role in obtaining more efficient reduced-order models, as compared to those obtained by …
Excitation power quantities in phase resonance testing of nonlinear systems with phase-locked-loop excitation
Phase resonance testing is one method for the experimental extraction of nonlinear normal
modes. This paper proposes a novel method for nonlinear phase resonance testing. Firstly …
modes. This paper proposes a novel method for nonlinear phase resonance testing. Firstly …
Bayesian model updating and class selection of a wing-engine structure with nonlinear connections using nonlinear normal modes
This paper presents a Bayesian model updating and model class selection approach based
on nonlinear normal modes (NNMs). The performance of the proposed approach is …
on nonlinear normal modes (NNMs). The performance of the proposed approach is …
Application of control-based continuation to a nonlinear structure with harmonically coupled modes
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 …
degree-of-freedom (MDOF) physical experiments. To illustrate the power of this method …