77 citations · 209 across the 17 of their papers we have counts for
3 papers · 2 filters
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…
Direct parametrisation of invariant manifolds for non-autonomous forced systems including superharmonic resonances
Alessandra Vizzaccaro, Giorgio Gobat, Attilio Frangi +1
The direct parametrisation method for invariant manifold is a model-order reduction technique that can be applied to nonlinear systems described by PDEs and discretised e.g. with a…