Tailoring the resonances of nonlinear mechanical systems

Modal design; Nonlinear normal mode; Nonlinear resonance; Nonlinearity synthesis; Restoring force; Dynamics; Amplitude dependence; Isochronicity; Mathematical forms; Modal interactions; Motion amplitudes; Nonlinear mechanical systems; Restoring forces; Vibration modes; Mechanical engineering

Abstract :

[en] The objective of this paper is the realization of a desired frequency–amplitude dependence of a specific vibration mode of a nonlinear system. To this end, we introduce an additional nonlinearity with an a priori arbitrary mathematical form in the considered system and synthesize its restoring force through optimization. To greatly facilitate the optimization process, the restoring force is optimized piece by piece from low to large motion amplitudes. The suppression of a modal interaction and the enforcement of isochronicity are considered to demonstrate the proposed procedure. © 2020, Springer Nature B.V.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Detroux, Thibaut ; Université de Liège - ULiège > Département d'aérospatiale et mécanique

Noël, J.-P.; Control Systems Technology Group, Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

Tailoring the resonances of nonlinear mechanical systems

Publication date :

2021

Journal title :

Nonlinear Dynamics

ISSN :

0924-090X

eISSN :

1573-269X

Publisher :

Springer Science and Business Media B.V.

Volume :

103

Issue :

Pages :

3611 - 3624

Peer reviewed :

Peer reviewed

Funding text :

The author T. Detroux is a Postdoctoral Researcher of the Fonds de la Recherche Scientifique - FNRS which is gratefully acknowledged. The authors J. P. Noël and G. Kerschen would like to acknowledge the financial support of the SPW (WALInnov grant).

Available on ORBi :

since 02 November 2022

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