Reduced order models for geometrically nonlinear structures: Assessment of implicit condensation in comparison with invariant manifold approach

Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements

(2020) Alessandra Vizzaccaro et al.   COMPUTATIONAL MECHANICS

Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives

(2020) Alessandra Vizzaccaro et al.   NONLINEAR DYNAMICS

A generic and efficient Taylor series–based continuation method using a quadratic recast of smooth nonlinear systems

(2019) Louis Guillot et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

(2019) Arthur Givois et al.   NONLINEAR DYNAMICS

Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators

(2019) X. Liu et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Reduced order modelling of the non-linear stiffness in MEMS resonators

(2019) Attilio Frangi et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Explicit third-order model reduction formulas for general nonlinear mechanical systems

(2019) Zsolt Veraszto et al.   JOURNAL OF SOUND AND VIBRATION

Numerical computation of nonlinear normal modes in a modal derivative subspace

(2018) C.S.M. Sombroek et al.   COMPUTERS & STRUCTURES

Automated computation of autonomous spectral submanifolds for nonlinear modal analysis

(2018) Sten Ponsioen et al.   JOURNAL OF SOUND AND VIBRATION

Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems

(2018) Thomas Breunung et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Nonlinear normal mode continuation through a Proper Generalized Decomposition approach with modal enrichment

(2018) L. Meyrand et al.   JOURNAL OF SOUND AND VIBRATION

Numerical computation of nonlinear normal modes in mechanical engineering

(2016) L. Renson et al.   JOURNAL OF SOUND AND VIBRATION

Nonlinear normal modes and spectral submanifolds: existence, uniqueness and use in model reduction

(2016) George Haller et al.   NONLINEAR DYNAMICS

Evaluation of Geometrically Nonlinear Reduced-Order Models with Nonlinear Normal Modes

(2015) Robert J. Kuether et al.   AIAA JOURNAL

Direct finite element computation of non-linear modal coupling coefficients for reduced-order shell models

(2014) C. Touzé et al.   COMPUTATIONAL MECHANICS

A review of indirect/non-intrusive reduced order modeling of nonlinear geometric structures

(2013) Marc P. Mignolet et al.   JOURNAL OF SOUND AND VIBRATION

On the numerical computation of nonlinear normal modes for reduced-order modelling of conservative vibratory systems

(2012) F. Blanc et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

A Short Review on Model Order Reduction Based on Proper Generalized Decomposition

(2011) Francisco Chinesta et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

Finite element reduced order models for nonlinear vibrations of piezoelectric layered beams with applications to NEMS

(2011) A. Lazarus et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Transition scenario to turbulence in thin vibrating plates

(2011) C. Touzé et al.   JOURNAL OF SOUND AND VIBRATION

A harmonic-based method for computing the stability of periodic solutions of dynamical systems

(2010) Arnaud Lazarus et al.   COMPTES RENDUS MECANIQUE

Transition to chaotic vibrations for harmonically forced perfect and imperfect circular plates

(2010) C. Touzé et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

A high order purely frequency-based harmonic balance formulation for continuation of periodic solutions

(2009) Bruno Cochelin et al.   JOURNAL OF SOUND AND VIBRATION

Stochastic reduced order models for uncertain geometrically nonlinear dynamical systems

(2008) Marc P. Mignolet et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Geometrically nonlinear flexural vibrations of plates: In-plane boundary conditions and some symmetry properties

(2008) O. Thomas et al.   JOURNAL OF SOUND AND VIBRATION

Reduced-order models for nonlinear response prediction: Implicit condensation and expansion

(2008) Joseph J. Hollkamp et al.   JOURNAL OF SOUND AND VIBRATION

Observation of Wave Turbulence in Vibrating Plates

(2008) Arezki Boudaoud et al.   PHYSICAL REVIEW LETTERS