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

Accounting for Quasi-Static Coupling in Nonlinear Dynamic Reduced-Order Models

(2020) Evangelia Nicolaidou et al.   Journal of Computational and Nonlinear Dynamics

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

A purely frequency based Floquet-Hill formulation for the efficient stability computation of periodic solutions of ordinary differential systems

(2020) Louis Guillot et al.   JOURNAL OF COMPUTATIONAL PHYSICS

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 modelling of the non-linear stiffness in MEMS resonators

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

Evaluating reduced order models of curved beams for random response prediction using static equilibrium paths

(2019) C.I. Van Damme et al.   JOURNAL OF SOUND AND VIBRATION

Exact nonlinear model reduction for a von Kármán beam: Slow-fast decomposition and spectral submanifolds

(2018) Shobhit Jain et al.   JOURNAL OF SOUND AND VIBRATION

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

Updating structural models containing nonlinear Iwan joints using quasi-static modal analysis

(2018) Robert M. Lacayo et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Finite element model calibration of a nonlinear perforated plate

(2017) David A. Ehrhardt et al.   JOURNAL OF SOUND AND VIBRATION

Relationships between nonlinear normal modes and response to random inputs

(2017) Joseph D. Schoneman et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Nonlinear characterization of a bolted, industrial structure using a modal framework

(2017) Daniel R. Roettgen et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Exact model reduction by a slow–fast decomposition of nonlinear mechanical systems

(2017) George Haller et al.   NONLINEAR DYNAMICS

Robust identification of backbone curves using control-based continuation

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

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

Measurement of nonlinear normal modes using multi-harmonic stepped force appropriation and free decay

(2016) David A. Ehrhardt et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Hardening/softening behavior and reduced order modeling of nonlinear vibrations of rotating cantilever beams

(2016) O. Thomas 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 numerical approach to directly compute nonlinear normal modes of geometrically nonlinear finite element models

(2014) Robert J. Kuether et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

A numerical tool for the design of assembled structures under dynamic loads

(2013) Hugo Festjens et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

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

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

Dynamic testing of nonlinear vibrating structures using nonlinear normal modes

(2010) M. Peeters 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

Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques

(2008) M. Peeters et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

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

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