Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques
This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …
geometric nonlinearity, with a special emphasis on the techniques based on invariant …
Nonlinear system identification in structural dynamics: 10 more years of progress
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 …
attention in the structural dynamics community. Ten years ago, an MSSP paper reviewing …
Numerical computation of nonlinear normal modes in mechanical engineering
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 …
[HTML][HTML] Robust identification of backbone curves using control-based continuation
Control-based continuation is a recently developed approach for testing nonlinear dynamic
systems in a controlled manner and exploring their dynamic features as system parameters …
systems in a controlled manner and exploring their dynamic features as system parameters …
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 …
Measurement and identification of the nonlinear dynamics of a jointed structure using full-field data; Part II-Nonlinear system identification
The dynamic responses of assembled structures are greatly affected by the mechanical
joints, which are often the cause of nonlinear behavior. To better understand and, in the …
joints, which are often the cause of nonlinear behavior. To better understand and, in the …
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 …
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 …
Bayesian model updating of nonlinear systems using nonlinear normal modes
This paper presents a Bayesian model updating methodology for dynamical systems with
geometric nonlinearities based on their nonlinear normal modes (NNMs) extracted from …
geometric nonlinearities based on their nonlinear normal modes (NNMs) extracted from …
Data-driven identification of nonlinear normal modes via physics-integrated deep learning
Identifying the characteristic coordinates or modes of nonlinear dynamical systems is critical
for understanding, analysis, and reduced-order modeling of the underlying complex …
for understanding, analysis, and reduced-order modeling of the underlying complex …