Modal interactions in dynamical and structural systems

AH Nayfeh, B Balachandran - 1989 - asmedigitalcollection.asme.org
We review theoretical and experimental studies of the influence of modal interactions on the
nonlinear response of harmonically excited structural and dynamical systems. In particular …

Passive non-linear targeted energy transfer and its applications to vibration absorption: a review

YS Lee, AF Vakakis, LA Bergman… - Proceedings of the …, 2008 - journals.sagepub.com
This review paper discusses recent efforts to passively move unwanted energy from a
primary structure to a local essentially non-linear attachment (termed a non-linear energy …

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

O Thomas, A Sénéchal, JF Deü - Nonlinear dynamics, 2016 - Springer
This work addresses the large amplitude nonlinear vibratory behavior of a rotating cantilever
beam, with applications to turbomachinery and turbopropeller blades. The aim of this work is …

Nonlinear planar and non-planar vibrations of viscoelastic fluid-conveying pipes with external and internal resonances

B Zhu, X Zhang, T Zhao - Journal of sound and vibration, 2023 - Elsevier
In this study, nonlinear vibrations of a viscoelastic fluid-conveying pipe under in-plane and
out-of-plane transverse excitations are investigated, with emphasis on external and internal …

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

V Denis, M Jossic, C Giraud-Audine, B Chomette… - … Systems and Signal …, 2018 - Elsevier
In this article, we address the model identification of nonlinear vibratory systems, with a
specific focus on systems modeled with distributed nonlinearities, such as geometrically …

Comparison of reduction methods for finite element geometrically nonlinear beam structures

Y Shen, A Vizzaccaro, N Kesmia, T Yu, L Salles… - Vibration, 2021 - mdpi.com
The aim of this contribution is to present numerical comparisons of model-order reduction
methods for geometrically nonlinear structures in the general framework of finite element …

Nonlinear vibrations and viscoelasticity of a self-healing composite cantilever beam: Theory and experiments

M Amabili, G Ferrari, MH Ghayesh, C Hameury… - Composite …, 2022 - Elsevier
A self-healing beam was fabricated by using a microencapsulated healing agent (5E2N)
with dispersed multi-walled carbon nanotubes (MWCNT). Grubbs' catalyst was dispersed in …

Finite element computation of nonlinear modes and frequency response of geometrically exact beam structures

M Debeurre, A Grolet, B Cochelin, O Thomas - Journal of Sound and …, 2023 - Elsevier
An original method for the simulation of the dynamics of highly flexible slender structures is
presented. The flexible structures are modeled via a finite element (FE) discretization of a …

Experimentally validated geometrically exact model for extreme nonlinear motions of cantilevers

H Farokhi, Y **a, A Erturk - Nonlinear dynamics, 2022 - Springer
A unique feature of flexible cantilevered beams, which is used in a range of applications
from energy harvesting to bio-inspired actuation, is their capability to undergo motions of …

Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcations

SL Das, A Chatterjee - Nonlinear Dynamics, 2002 - Springer
We study small perturbations of three linear Delay DifferentialEquations (DDEs) close to
Hopf bifurcation points. In analytical treatments of such equations, many authors recommend …