[en] The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system. To this end, an energy balance technique is used to predict the amplitude of the harmonic forcing that is necessary to excite a specific nonlinear normal mode. A cantilever beam with a nonlinear spring at its tip serves to illustrate the developments. The practical implications of isolated resonance curves are also discussed by computing the beam response to sine sweep excitations of increasing amplitudes.
Kuether, Robert J.; University of Wisconsin–Madison > Department of Engineering Physics
Renson, Ludovic ; Université de Liège > R&D Direction : Chercheurs ULiège en mobilité
Detroux, Thibaut ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Grappasonni, Chiara ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Kerschen, Gaëtan ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Allen, Mathew S.; University of Wisconsin-Madison > Department of Engineering Physics
Language :
English
Title :
Nonlinear normal modes, modal interactions and isolated resonance curves
Publication date :
01 September 2015
Journal title :
Journal of Sound and Vibration
ISSN :
0022-460X
eISSN :
1095-8568
Publisher :
Elsevier, United Kingdom
Volume :
351
Pages :
299–310
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
NPSC - National Physical Science Consortium FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture ERC - European Research Council
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