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

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 mechanical systems in oscillatory form expressed in the physical basis, so that the technique is directly applicable to m...

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Bibliographic Details
Published in:	Nonlinear dynamics Vol. 110; no. 1; pp. 525 - 571
Main Authors:	Vizzaccaro, Alessandra, Opreni, Andrea, Salles, Loïc, Frangi, Attilio, Touzé, Cyril
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.09.2022 Springer Nature B.V Springer Verlag Springer Science and Business Media B.V
Subjects:	Aerospace Engineering Amplitudes Applied Mathematics Automation Automotive Engineering Canonical forms Cantilever beams Clamping Classical Mechanics Control Control and Systems Engineering Damping Dynamical Systems Eigenvectors Electrical and Electronic Engineering Engineering Engineering Sciences Engineering, computing & technology Finite element method Folding Foldings Geometric non-linearity Geometric nonlinearities High-order Higher-order Ingénierie mécanique Ingénierie, informatique & technologie Invariant manifolds Invariants Large amplitude Manifold folding Manifolds Mathematical analysis Mathematics Mechanical Engineering Mechanics Methods Microelectromechanical systems Model order reduction Model reduction Nonlinear Sciences Normal form Ocean Engineering Original Paper Parameterization Parametrizations Partial differential equations Structural mechanics Vibration Vibrations Finite element method Manifold folding Geometric nonlinearities Model order reduction Normal form finite element method geometric nonlinearities normal form manifold folding model order reduction
ISSN:	0924-090X, 1573-269X, 1573-269X
Online Access:	Get full text
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