Chaos in one-dimensional structural mechanics

G Rega, V Settimi, S Lenci - Nonlinear Dynamics, 2020 - Springer
Notwithstanding the presence of some books summarizing specific research bodies on
structural systems, reviews on nonlinear dynamics and chaos in mechanical systems and …

The dynamic behavior of MEMS arch resonators actuated electrically

HM Ouakad, MI Younis - International Journal of Non-Linear Mechanics, 2010 - Elsevier
In this paper, we investigate the dynamic behavior of clamped–clamped micromachined
arches when actuated by a small DC electrostatic load superimposed to an AC harmonic …

[图书][B] Chaos near resonance

G Haller - 2012 - books.google.com
Resonances are ubiquitous in dynamical systems with many degrees of freedom. They have
the basic effect of introducing slow-fast behavior in an evolutionary system which, coupled …

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

G Gobat, L Guillot, A Frangi, B Cochelin, C Touzé - Meccanica, 2021 - Springer
Quasi-periodic solutions can arise in assemblies of nonlinear oscillators as a consequence
of Neimark-Sacker bifurcations. In this work, the appearance of Neimark-Sacker bifurcations …

One-to-one and three-to-one internal resonances in MEMS shallow arches

HM Ouakad, HM Sedighi… - Journal of …, 2017 - asmedigitalcollection.asme.org
The nonlinear modal coupling between the vibration modes of an arch-shaped
microstructure is an interesting phenomenon, which may have desirable features for …

Various bifurcation phenomena in a nonlinear curved beam subjected to base harmonic excitation

J Huang, KLR Su, YYR Lee, S Chen - International Journal of …, 2018 - World Scientific
Various bifurcation phenomena in a nonlinear curved beam subjected to base harmonic
excitation, which is governed by a coupled nonlinear equation with both quadratic and cubic …

Non-linear interactions in imperfect beams at veering

W Lacarbonara, HN Arafat, AH Nayfeh - International Journal of Non-Linear …, 2005 - Elsevier
Non-linear interactions in a hinged–hinged uniform moderately curved beam with a torsional
spring at one end are investigated. The two-mode interaction is a one-to-one autoparametric …

Global and chaotic dynamics for a parametrically excited thin plate

W Zhang - Journal of Sound and vibration, 2001 - Elsevier
The global bifurcations and chaotic dynamics of a parametrically excited, simply supported
rectangular thin plate are analyzed. The formulas of the thin plate are derived by von …

Non-linear dynamics of a shallow arch under periodic excitation—I. 1: 2 internal resonance

WM Tien, NS Namachchivaya, AK Bajaj - International Journal of Non …, 1994 - Elsevier
The weakly non-linear resonance response of a two-degree-of-freedom shallow arch
subjected to simple harmonic excitation is examined in detail for the case of 1: 2 internal …

1: 1 internal resonance in a two dof complete system: a comprehensive analysis and its possible exploitation for design

F Clementi, S Lenci, G Rega - Meccanica, 2020 - Springer
The internal resonance of a two degree-of-freedom mechanical system with all typical
(quadratic and cubic) geometric nonlinearities is studied, limiting to the case of free …