Nonlinear Normal Modes, Part I: An Attempt To Demystify Them

Kerschen, Gaëtan; Peeters, Maxime; Golinval, Jean-Claude; Vakakis, Alexander. F.

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Nonlinear Normal Modes, Part I: An Attempt To Demystify Them

Kerschen, Gaëtan; Peeters, Maxime; Golinval, Jean-Claude et al.

2008 • In 26th International Modal Analysis Conference, Orlando, 2008

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Keywords :

nonlinear normal modes; engineering structures; numerical methods; time-frequency analysis

Abstract :

[en] The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companions, Parts II and III. Because there is virtually no application of the NNMs to large-scale engineering structures, these papers are an attempt to highlight several aspects that might drive their development in the future. Specifically, we support that (i) numerical methods for the continuation of periodic solutions pave the way for an effective and practical computation of NNMs, and (ii) time-frequency analysis is particularly suitable for the analysis of the resulting dynamics. Another objective of the present paper is to describe, in simple terms, and to illustrate the fundamental properties of NNMs. This is achieved to convince the structural dynamicist not necessarily acquainted with them that they are a useful framework for the analysis of nonlinear vibrating structures.

Disciplines :

Physics
Aerospace & aeronautics engineering
Mechanical engineering
Mathematics

Author, co-author :

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

Peeters, Maxime ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Golinval, Jean-Claude ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures

Vakakis, Alexander. F.; Division of Mechanics, National Technical University of Athens

Language :

English

Title :

Nonlinear Normal Modes, Part I: An Attempt To Demystify Them

Publication date :

2008

Event name :

26th International Modal Analysis Conference

Event place :

Orlando, Floride, United States

Audience :

International

Main work title :

26th International Modal Analysis Conference, Orlando, 2008

Available on ORBi :

since 17 September 2009

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