Phase resonance nonlinear modes of mechanical systems

Volvert, Martin; Kerschen, Gaëtan

doi:10.1016/j.jsv.2021.116355

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Phase resonance nonlinear modes of mechanical systems

Volvert, Martin; Kerschen, Gaëtan

2021 • In Journal of Sound and Vibration, 511, p. 116355

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https://hdl.handle.net/2268/262452

DOI
10.1016/j.jsv.2021.116355

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Keywords :

Nonlinear Dynamics; Phase resonance; Modal analysis

Abstract :

[en] The resonances of forced dynamical systems occur when either the amplitude of the frequency response undergoes a local maximum (amplitude resonance) or phase lag quadrature takes places (phase resonance). This study focuses on the phase resonance of nonlinear mechanical systems subjected to single-point, single-harmonic excitation. In this context, the main contribution of this paper is to develop a computational framework which can predict the mode shapes and oscillation frequencies at phase resonance. The resulting nonlinear modes are termed phase resonance nonlinear modes (PRNMs). A key property of PRNMs is that, besides primary resonances, they can accurately characterize superharmonic, subharmonic and ultra-subharmonic resonances for which, as shall be shown in this paper, phase lags at resonance may be different from 𝜋∕2. The proposed developments are demonstrated using one- and two-degree-of-freedom systems featuring a cubic nonlinearity.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Volvert, Martin ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux

Language :

English

Title :

Phase resonance nonlinear modes of mechanical systems

Publication date :

27 October 2021

Journal title :

Journal of Sound and Vibration

ISSN :

0022-460X

eISSN :

1095-8568

Publisher :

Elsevier, United States

Volume :

511

Pages :

116355

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 09 August 2021

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