69 citations · 71 across the 3 of their papers we have counts for
3 papers
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…
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…
Model Order Reduction based on Direct Normal Form: Application to Large Finite Element MEMS Structures Featuring Internal Resonance
Andrea Opreni, Alessandra Vizzaccaro, Attilio Frangi +1
Dimensionality reduction in mechanical vibratory systems poses challenges for distributed structures including geometric nonlinearities, mainly because of the lack of invariance of…