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 …
Non-linear vibrations of shells: A literature review from 2003 to 2013
The present literature review focuses on geometrically non-linear free and forced vibrations
of shells made of traditional and advanced materials. Flat and imperfect plates and …
of shells made of traditional and advanced materials. Flat and imperfect plates and …
Nonlinear normal modes, Part I: A useful framework for the structural dynamicist
G Kerschen, M Peeters, JC Golinval… - Mechanical systems and …, 2009 - Elsevier
The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its
companion, Part II. Because there is virtually no application of the NNMs to large-scale …
companion, Part II. Because there is virtually no application of the NNMs to large-scale …
Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques
The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its
companion, Part I. One reason of the still limited use of NNMs in structural dynamics is that …
companion, Part I. One reason of the still limited use of NNMs in structural dynamics is that …
Direct computation of nonlinear map** via normal form for reduced-order models of finite element nonlinear structures
The direct computation of the third-order normal form for a geometrically nonlinear structure
discretised with the finite element (FE) method, is detailed. The procedure allows to define a …
discretised with the finite element (FE) method, is detailed. The procedure allows to define a …
High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically …
The direct parametrisation method for invariant manifolds is used for model order reduction
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
of forced-damped mechanical structures subjected to geometric nonlinearities. Nonlinear …
Model order reduction based on direct normal form: application to large finite element MEMS structures featuring internal resonance
Dimensionality reduction in mechanical vibratory systems poses challenges for distributed
structures including geometric nonlinearities, mainly because of the lack of invariance of the …
structures including geometric nonlinearities, mainly because of the lack of invariance of the …
Comparison of nonlinear map**s for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives
The objective of this contribution is to compare two methods proposed recently in order to
build efficient reduced-order models for geometrically nonlinear structures. The first method …
build efficient reduced-order models for geometrically nonlinear structures. The first method …
Identification of nonlinear modes using phase-locked-loop experimental continuation and normal form
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 …
specific focus on systems modeled with distributed nonlinearities, such as geometrically …
Nonlinear vibrations and dam** of fractional viscoelastic rectangular plates
Dam** is largely increasing with the vibration amplitude during nonlinear vibrations of
rectangular plates. At the same time, soft materials present an increase in their stiffness with …
rectangular plates. At the same time, soft materials present an increase in their stiffness with …