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Development of Numerical Algorithms for Practical Computation of Nonlinear Normal Modes
Peeters, Maxime; Georgiades, Fotios; Viguié, Régis et al.
2006 • In International Conference on Noise and vibration Engineering, Leuven, 2006
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Keywords :
numerical algorithms; nonlinear normal mode; nonlinear dynamical phenomena,; computational burden of the algorithm
Abstract :
[en] When resorting to numerical algorithms, we show that nonlinear normal mode (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 method relies on two main techniques, namely a shooting procedure and a method for the continuation of NNM motions. In addition, sensitivity analysis is used to reduce the computational burden of the algorithm. A simplified discrete model of a nonlinear bladed disk is considered to demonstrate the developments.
Disciplines :
Aerospace & aeronautics engineering
Mechanical engineering
Mathematics
Author, co-author :
Peeters, Maxime ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Georgiades, Fotios;  Université de Liège - ULiège > Département d'aérospatiale et mécanique
Viguié, Régis ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Vibrations et identification des structures
Sérandour, Guillaume;  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 :
Development of Numerical Algorithms for Practical Computation of Nonlinear Normal Modes
Publication date :
2006
Event name :
International Conference on Noise and vibration Engineering
Event place :
Leuven, Belgium
Audience :
International
Main work title :
International Conference on Noise and vibration Engineering, Leuven, 2006
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since 18 August 2009

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