Reference : COMPUTATION OF NONLINEAR NORMAL MODES, PART I: NUMERICAL CONTINUATION IN MATLAB

	Document type :	Scientific congresses and symposiums : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering Engineering, computing & technology : Computer science Physical, chemical, mathematical & earth Sciences : Mathematics Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/2268/18260

Title :	COMPUTATION OF NONLINEAR NORMAL MODES, PART I: NUMERICAL CONTINUATION IN MATLAB
Language :	English
Author, co-author :	Peeters, Maxime [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
	Viguié, Régis [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
	Serandour, Guillaume [ > > ]
	Kerschen, Gaëtan [Université de Liège - ULg > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux >]
	Golinval, Jean-Claude [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures >]
Publication date :	2008
Main document title :	Sixth EUROMECH Nonlinear Dynamics Conference, Saint Petersbourg, 2008
Audience :	International
Event name :	Sixth EUROMECH Nonlinear Dynamics Conference
Event date :	June, 30–July, 4 2008
Event place (city) :	Saint-Petersburg
Event country :	Russia
Keywords :	[en] 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.
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/2268/18260

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