Exploiting internal resonances in nonlinear structures with cyclic symmetry as a mean of passive vibration control

Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1:2 internal resonance and frequency combs in MEMS

(2021) Giorgio Gobat et al.   MECCANICA

Model order reduction based on direct normal form: application to large finite element MEMS structures featuring internal resonance

(2021) Andrea Opreni et al.   NONLINEAR DYNAMICS

Reduced order modelling and experimental validation of a MEMS gyroscope test-structure exhibiting 1:2 internal resonance

(2021) Giorgio Gobat et al.   Scientific Reports

Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures

(2021) Alessandra Vizzaccaro et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Energy transfer between nodal diameters of cyclic symmetric structures exhibiting polynomial nonlinearities: Cyclic condition and analysis

(2020) Samuel Quaegebeur et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Saturation phenomena and nonlinear resonances of rotating pretwisted laminated composite blade under subsonic air flow excitation

(2020) W. Zhang et al.   JOURNAL OF SOUND AND VIBRATION

Dynamic Modeling and Projection-Based Reduction Methods for Bladed Disks with Nonlinear Frictional and Intermittent Contact Interfaces

(2019) Mainak Mitra et al.   Applied Mechanics Reviews

Free vibration of rotating pretwisted functionally graded composite cylindrical panel reinforced with graphene platelets

(2019) Y. Niu et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

Vibration characteristics of rotating pretwisted composite tapered blade with graphene coating layers

(2019) W. Zhang et al.   AEROSPACE SCIENCE AND TECHNOLOGY

Computation of quasi-periodic localised vibrations in nonlinear cyclic and symmetric structures using harmonic balance methods

(2018) F. Fontanela et al.   JOURNAL OF SOUND AND VIBRATION

Bifurcation tracking by Harmonic Balance Method for performance tuning of nonlinear dynamical systems

(2017) L. Xie et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Vibration Prediction of Bladed Disks Coupled by Friction Joints

(2016) Malte Krack et al.   ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING

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

(2016) George Haller et al.   NONLINEAR DYNAMICS

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

Computing multiple periodic solutions of nonlinear vibration problems using the harmonic balance method and Groebner bases

(2015) Aurelien Grolet et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Performance, robustness and sensitivity analysis of the nonlinear tuned vibration absorber

(2015) T. Detroux et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

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

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

Nonlinear forced vibrations of thin structures with tuned eigenfrequencies: the cases of 1:2:4 and 1:2:2 internal resonances

(2013) Mélodie Monteil et al.   NONLINEAR DYNAMICS

Free and forced vibration analysis of a nonlinear system with cyclic symmetry: Application to a simplified model

(2012) Aurelien Grolet et al.   JOURNAL OF SOUND AND VIBRATION

Global and bifurcation analysis of a structure with cyclic symmetry

(2011) E. Sarrouy et al.   INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS

Nonlinear vibrations of blade with varying rotating speed

(2011) M. H. Yao et al.   NONLINEAR DYNAMICS

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

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

Modal Analysis of a Nonlinear Periodic Structure with Cyclic Symmetry

(2009) F. Georgiades et al.   AIAA JOURNAL

Nonlinear vibration absorber coupled to a nonlinear primary system: A tuning methodology

(2009) R. Viguié et al.   JOURNAL OF SOUND AND VIBRATION

Vibration absorption in systems with a nonlinear energy sink: Nonlinear damping

(2009) Y. Starosvetsky 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