most citedModel Order Reduction based on Direct Normal Form: Application to Large Finite Element MEMS Structures Featuring Internal Resonance

69 citations · 128 across the 4 of their papers we have counts for

collaborators

4 papers

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…

math.NA2021★ 6 cited

Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

Cyril Touzé, Alessandra Vizzaccaro, Olivier Thomas

This paper aims at reviewing nonlinear methods for model order reduction of structures with geometric nonlinearity, with a special emphasis on the techniques based on invariant man…

math.NA2021★ 69 cited

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…

math.NA2020★ 53 cited

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…