Analytic prediction of isolated forced response curves from spectral submanifolds

We show how spectral submanifold (SSM) theory can be used to provide analytic predictions for the response of periodically forced multi-degree-of-freedom mechanical systems. These predictions include an explicit criterion for the existence of isolated forced responses that will generally be missed b...

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Bibliographic Details
Published in:	Nonlinear dynamics Vol. 98; no. 4; pp. 2755 - 2773
Main Authors:	Ponsioen, S., Pedergnana, T., Haller, G.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01.12.2019 Springer Nature B.V
Subjects:	Algorithms Automotive Engineering Classical Mechanics Control Dynamical Systems Engineering Manifolds (mathematics) Mechanical Engineering Mechanical systems Original Paper Vibration Vibration control Model order reduction Spectral submanifolds Isolas Forced response curves
ISSN:	0924-090X, 1573-269X
Online Access:	Get full text
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