most citedNonlinear model order reduction of resonant piezoelectric micro-actuators: an invariant manifold approach

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.NA2023★ 2 cited

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…

math.NA2021

High order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to large amplitude vibrations and uncovering of a folding point

Alessandra Vizzaccaro, Andrea Opreni, Loïc Salles +2

This paper investigates model-order reduction methods for geometrically nonlinear structures. The parametrisation method of invariant manifolds is used and adapted to the case of m…