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Computation of nonlinear normal modes, part II: numerical continuation in Auto
Serandour, Guillaume; Peeters, Maxime; Kerschen, Gaëtan et al.
2008In Sixth EUROMECH Nonlinear Dynamics Conference, Saint Petersbourg, 2008
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Keywords :
Nonlinear normal modes; periodic solution; numerical computation; orthogonal collocation; continuation techniques; AUTO software
Abstract :
[en] The concept of nonlinear normal modes (NNMs) is discussed in the present paper and its companion, Part I. 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 NNMs computation is possible using an existing continuation software, namely AUTO07. This is demonstrated using a 2DOF nonlinear system. The results are compared with those obtained with the Matlab algorithm described in Part I.
Disciplines :
Aerospace & aeronautics engineering
Mechanical engineering
Computer science
Author, co-author :
Serandour, Guillaume;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Peeters, Maxime ;  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 :
Computation of nonlinear normal modes, part II: numerical continuation in Auto
Publication date :
2008
Event name :
Sixth EUROMECH Nonlinear Dynamics Conference
Event organizer :
ENOC-2008
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 13 August 2009

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