A Gaussian process regression reduced order model for geometrically nonlinear structures

Quasi-static modal analysis for reduced order modeling of geometrically nonlinear structures

(2021) Kyusic Park et al.   JOURNAL OF SOUND AND VIBRATION

Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

(2021) Cyril Touzé et al.   NONLINEAR DYNAMICS

Physics-informed machine learning for reduced-order modeling of nonlinear problems

(2021) Wenqian Chen et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Machine-learning-based reduced-order modeling for unsteady flows around bluff bodies of various shapes

(2020) Kazuto Hasegawa et al.   THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS

Updating Geometrically Nonlinear Reduced-Order Models Using Nonlinear Modes and Harmonic Balance

(2020) Christopher I. Van Damme et al.   AIAA JOURNAL

Data-driven nonintrusive reduced order modeling for dynamical systems with moving boundaries using Gaussian process regression

(2020) Zhan Ma et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

(2020) Yichang Shen et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

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

(2019) Arthur Givois et al.   NONLINEAR DYNAMICS

Reduced order modeling for nonlinear structural analysis using Gaussian process regression

(2018) Mengwu Guo et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Non-intrusive reduced order modeling of nonlinear problems using neural networks

(2018) J.S. Hesthaven et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A tutorial on Gaussian process regression: Modelling, exploring, and exploiting functions

(2018) Eric Schulz et al.   JOURNAL OF MATHEMATICAL PSYCHOLOGY

Identification of nonlinear modes using phase-locked-loop experimental continuation and normal form

(2018) V. Denis et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Bayesian model updating of nonlinear systems using nonlinear normal modes

(2018) Mingming Song et al.   Structural Control & Health Monitoring

Data-driven reduced order modeling for time-dependent problems

(2018) Mengwu Guo et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Nonlinear model identification and spectral submanifolds for multi-degree-of-freedom mechanical vibrations

(2017) Robert Szalai et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Fast Bayesian identification of a class of elastic weakly nonlinear systems using backbone curves

(2016) T.L. Hill 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

The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems

(2015) T. Detroux et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

Reduction Method for Finite Element Nonlinear Dynamic Analysis of Shells

(2012) Paolo Tiso et al.   AIAA JOURNAL

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

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

Nonlinear normal modes, Part I: A useful framework for the structural dynamicist

(2008) G. Kerschen et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING