Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system

Noël, Jean-Philippe; Detroux, Thibaut; Masset, Luc; Kerschen, Gaëtan; Virgin, Lawrence

doi:10.1115/DETC2015-46106

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Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system

Noël, Jean-Philippe; Detroux, Thibaut; Masset, Luc et al.

2015 • In Proceedings of the ASME 2015 International Design Engineering Technical Conferences

Peer reviewed

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https://hdl.handle.net/2268/181467

DOI
10.1115/DETC2015-46106

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Keywords :

Isolated response curves; Two-degree-of-freedom system; Nonlinear normal modes; Energy balance; Bifurcation tracking; Basins of attraction

Abstract :

[en] In the present paper, isolated response curves in a nonlinear system consisting of two masses sliding on a horizontal guide are examined. Transverse springs are attached to one mass to provide the nonlinear restoring force, and a harmonic motion of the complete system is imposed by prescribing the displacement of their supports. Numerical simulations are carried out to study the conditions of existence of isolated solutions, their bifurcations, their merging with the main response branch and their basins of attraction. This is achieved using tools including nonlinear normal modes, energy balance, harmonic balance-based continuation and bifurcation tracking, and global analysis.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Noël, Jean-Philippe ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Detroux, Thibaut ; Université de Liège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Masset, Luc ; 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

Virgin, Lawrence; Duke University > School of Engineering

Language :

English

Title :

Isolated response curves in a base-excited, two-degree-of-freedom, nonlinear system

Publication date :

August 2015

Event name :

ASME 2015 International Design Engineering Technical Conferences

Event place :

Boston, United States - Massachusetts

Event date :

du 2 août au 5 août 2015

Audience :

International

Main work title :

Proceedings of the ASME 2015 International Design Engineering Technical Conferences

Peer reviewed :

Peer reviewed

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique

Available on ORBi :

since 13 May 2015

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Bibliography

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