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COMPUTATION OF NONLINEAR NORMAL MODES, PART I: NUMERICAL CONTINUATION IN MATLAB
Peeters, Maxime; Viguié, Régis; Serandour, Guillaume et al.
2008In Sixth EUROMECH Nonlinear Dynamics Conference, Saint Petersbourg, 2008
Peer reviewed
 

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Keywords :
Nonlinear normal modes; periodic solution; numerical computation; shooting; continuation techniques
Abstract :
[en] The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part II. Because there is virtually no application of the NNMs to large-scale engineering structures, these papers are an attempt to highlight one aspect that might drive their development in the future. Specifically, we support that numerical methods for the continuation of periodic solutions pave the way for an effective and practical computation of NNMs. In this context, we show that the NNM computation is possible with limited implementation effort. The proposed algorithm, implemented in MATLAB, relies on two main techniques, namely a shooting procedure and a method for the continuation of NNM motions. The algorithm is demonstrated using a 2DOF nonlinear system. A comparison with the results given by the AUTO software is achieved in Part II.
Disciplines :
Mechanical engineering
Computer science
Mathematics
Physics
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
Serandour, Guillaume
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 :
COMPUTATION OF NONLINEAR NORMAL MODES, PART I: NUMERICAL CONTINUATION IN MATLAB
Publication date :
2008
Event name :
Sixth EUROMECH Nonlinear Dynamics Conference
Event place :
Saint-Petersburg, Russia
Event date :
June, 30–July, 4 2008
Audience :
International
Main work title :
Sixth EUROMECH Nonlinear Dynamics Conference, Saint Petersbourg, 2008
Peer reviewed :
Peer reviewed
Available on ORBi :
since 10 August 2009

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