57 citations · 63 across the 4 of their papers we have counts for
4 papers
Reduced-order modelling of parameter-dependent systems with invariant manifolds: application to Hopf bifurcations in follower force problems
André de F. Stabile, Alessandra Vizzaccaro, Loïc Salles +3
The direct parametrisation method for invariant manifolds is adjusted to consider a varying parameter. More specifically, the case of systems experiencing a Hopf bifurcation in the…
Reduced order modelling of fully coupled electro-mechanical systems through invariant manifolds with applications to microstructures
Attilio Frangi, Alessio Colombo, Alessandra Vizzaccaro +1
This paper presents the first application of the direct parametrisation method for invariant manifolds to a fully coupled multiphysics problem involving the nonlinear vibrations of…
Nonlinear model order reduction of resonant piezoelectric micro-actuators: an invariant manifold approach
Andrea Opreni, Giorgio Gobat, Cyril Touzé +1
This paper presents a novel derivation of the direct parametrisation method for invariant manifolds able to build simulation-free reduced-order models for nonlinear piezoelectric s…
Wave turbulence in vibrating plates : the effect of damping
Thomas Humbert, Olivier Cadot, Gustavo Düring +3
The effect of damping in the wave turbulence regime for thin vibrating plates is studied. An experimental method, allowing measurements of dissipation in the system at all scales,…