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

69 citations · 69 across the 2 of their papers we have counts for

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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★ 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…