output
20152025
most citedDirect computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures

104 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2020Show all

8 papers · 1 filter

math.AP2020

Gamma-convergence results for nematic elastomer bilayers: relaxation and actuation

Pierluigi Cesana, Andres A Leon Baldelli

We compute effective energies of thin bilayer structures composed by soft nematic elastic-liquid crystals in various geometrical regimes and functional configurations. Our focus is…

physics.flu-dyn2020★ 28 cited

Galerkin force model for transient and post-transient dynamics of the fluidic pinbal

Nan Deng, Bernd R. Noack, Marek Morzyński +1

We propose an aerodynamic force model associated with a Galerkin model for the unforced fluidic pinball, the two-dimensional flow around three equal cylinders with one radius dista…

cs.CE2020★ 104 cited

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

Alessandra Vizzaccaro, Yichang Shen, Loïc Salles +2

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…

cs.CE2020★ 67 cited

Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements

Alessandra Vizzaccaro, Arthur Givois, Pierluigi Longobardi +5

Non-intrusive methods have been used since two decades to derive reduced-order models for geometrically nonlinear structures, with a particular emphasis on the so-called STiffness…

math.NA2020★ 53 cited

Comparison of nonlinear mappings for reduced-order modelling of vibrating structures: normal form theory and quadratic manifold method with modal derivatives

Alessandra Vizzaccaro, Loïc Salles, Cyril Touzé

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 me…

physics.flu-dyn2020★ 14 cited

Refined mean field model of heat and momentum transfer in magnetoconvection

Till Zürner

In this article, the theoretical model on heat and momentum transfer for Rayleigh-Bénard convection in a vertical magnetic field by Zürner et al. (Phys. Rev. E 94, 043108 (2016)) i…

physics.class-ph2020★ 29 cited

Effective model for elastic waves propagating in a substrate supporting a dense array of plates/beams with flexural resonances

Jean-Jacques Marigo, Kim Pham, Agnès Maurel +1

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bo…

physics.comp-ph2020★ 1 cited

Surface waves from flexural and compressional resonances of beams

Jean-Jacques Marigo, Kim Pham, Agnès Maurel +1

We present a three-dimensional model describing the propagation of elastic waves in a soil substrate supporting an array of cylindrical beams experiencing flexural and compressiona…