Practical Computation of Nonlinear Normal Modes Using Numerical Continuation Techniques

Peeters, Maxime; Viguié, Régis; Kerschen, Gaëtan; Golinval, Jean-Claude

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Peeters, Maxime; Viguié, Régis; Kerschen, Gaëtan et al.

2007 • In International Workshop: Advancements in Design Optimization of Materials, Structures and Mechanical Systems, Xi'An, 2007

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Keywords :

Nonlinear Normal Modes; Continuation techniques

Abstract :

[en] The concept of nonlinear normal modes (NNMs) is considered in the present paper. One reason of the still limited use of NNMs in structural dynamics is that their computation is often regarded as impractical. However, when resorting to numerical algorithms, we show that the NNM computation is possible with limited implementation effort, which paves the way to a practical method for determining the NNMs of nonlinear mechanical systems. The proposed algorithm relies on two main techniques, namely a shooting procedure and a method for the continuation of NNM motions. The algorithm is demonstrated using two different mechanical systems, a nonlinear two-degree-of-freedom system and a nonlinear cantilever beam discretized by the finite element method.

Disciplines :

Mechanical engineering

Author, co-author :

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

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

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

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

Language :

English

Title :

Practical Computation of Nonlinear Normal Modes Using Numerical Continuation Techniques

Publication date :

2007

Event name :

International Workshop: Advancements in Design Optimization of Materials, Structures and Mechanical Systems

Event organizer :

Nortwestern Polytechnical University

Event place :

Xi'An, China

Event date :

du 17 au 20 décembre 2007

Audience :

International

Main work title :

International Workshop: Advancements in Design Optimization of Materials, Structures and Mechanical Systems, Xi'An, 2007

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since 07 December 2009

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