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 …
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, modal interactions and isolated resonance curves
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 …
modes of an undamped and unforced nonlinear system and the isolated resonance curves …
Evaluation of geometrically nonlinear reduced-order models with nonlinear normal modes
RJ Kuether, BJ Deaner, JJ Hollkamp, MS Allen - AIAA Journal, 2015 - arc.aiaa.org
Several reduced-order modeling strategies have been developed to create low-order
models of geometrically nonlinear structures from detailed finite element models, allowing …
models of geometrically nonlinear structures from detailed finite element models, allowing …
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 …
On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models
This paper presents a general methodology to compute nonlinear frequency responses of
flat structures subjected to large amplitude transverse vibrations, within a finite element …
flat structures subjected to large amplitude transverse vibrations, within a finite element …
Full-field linear and nonlinear measurements using continuous-scan laser doppler vibrometry and high speed three-dimensional digital image correlation
Spatially detailed dynamic measurements of thin, lightweight structures can be difficult to
obtain due to the structure׳ s low mass and complicated deformations under certain loading …
obtain due to the structure׳ s low mass and complicated deformations under certain loading …
Review on the theories and applications of dynamic condensation and component mode synthesis methods in solving FEM-based structural dynamics
Y Sun, Y Lu, Z Song - Acta Mechanica Solida Sinica, 2023 - Springer
The rapid development of modern science, technology, and industrialization has promoted
the birth of more large and complex engineering structures. When the finite element (FE) …
the birth of more large and complex engineering structures. When the finite element (FE) …
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 …
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 …