Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques
This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …
geometric nonlinearity, with a special emphasis on the techniques based on invariant …
Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1: 2 internal resonance and frequency …
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 …
of Neimark-Sacker bifurcations. In this work, the appearance of Neimark-Sacker bifurcations …
Comparison of reduction methods for finite element geometrically nonlinear beam structures
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 …
methods for geometrically nonlinear structures in the general framework of finite element …
Reduced order models for geometrically nonlinear structures: Assessment of implicit condensation in comparison with invariant manifold approach
A comparison between two methods to derive reduced-order models (ROM) for
geometrically nonlinear structures is proposed. The implicit condensation and expansion …
geometrically nonlinear structures is proposed. The implicit condensation and expansion …
Improvement of the acoustic black hole effect by using energy transfer due to geometric nonlinearity
Abstract Acoustic Black Hole effect (ABH) is a passive vibration dam** technique without
added mass based on flexural waves properties in thin structures with variable thickness. A …
added mass based on flexural waves properties in thin structures with variable thickness. A …
Linear and nonlinear dynamics of a plate with acoustic black hole, geometric and contact nonlinearity for vibration mitigation
A rectangular plate with a wedge profile creating an Acoustic Black Hole (ABH) termination
is studied numerically. A particular emphasis is put on combining two different types of …
is studied numerically. A particular emphasis is put on combining two different types of …
Direct finite element computation of non-linear modal coupling coefficients for reduced-order shell models
We propose a direct method for computing modal coupling coefficients—due to
geometrically nonlinear effects—for thin shells vibrating at large amplitude and discretized …
geometrically nonlinear effects—for thin shells vibrating at large amplitude and discretized …
[HTML][HTML] Periodic and nonperiodic modes of postbuckling and nonlinear vibration of beams attached to nonlinear foundations
This manuscript presents the influence of periodic (sine and cosine) and nonperiodic
imperfections modes on buckling, postbuckling and dynamics of beam rested on nonlinear …
imperfections modes on buckling, postbuckling and dynamics of beam rested on nonlinear …
Very large amplitude vibrations of flexible structures: Experimental identification and validation of a quadratic drag dam** model
This article presents a theoretical, numerical and experimental study of resonant structures
undergoing very large amplitude vibrations. The purpose of this work is to validate a model …
undergoing very large amplitude vibrations. The purpose of this work is to validate a model …
Exploiting internal resonances in nonlinear structures with cyclic symmetry as a mean of passive vibration control
The purpose of this paper is to study how internal resonances can be used to mitigate the
vibration of cyclically symmetric systems exhibiting geometrical nonlinear effects. The …
vibration of cyclically symmetric systems exhibiting geometrical nonlinear effects. The …