104 citations · 317 across the 9 of their papers we have counts for
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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…
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…
Nonlinear vibration localisation in a symmetric system of two coupled beams
Filipe Fontanela, Alessandra Vizzaccaro, Jeanne Auvray +4
We report nonlinear vibration localisation in a system of two symmetric weakly coupled nonlinear oscillators. A two degree-of-freedom model with piecewise linear stiffness shows bi…
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…