Article (Scientific journals)
Resonant phase lags of a Duffing oscillator
Volvert, Martin; Kerschen, Gaëtan
2022In International Journal of Non-Linear Mechanics, 146
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Keywords :
Amplitude resonance; Modal analysis; Phase lag; Phase resonance; Harmonic analysis; Oscillators (mechanical); Resonance; Duffing's oscillator; First order; Harmonically forced Duffing oscillators; Higher order averaging; Phase lags; Phase resonances; Resonant behavior; Subharmonics; Superharmonics
Abstract :
[en] This paper revisits the resonant behavior of a harmonically-forced Duffing oscillator with a specific attention to phase resonance and to its relation with amplitude resonance. To this end, the different families of resonances, namely primary (1:1), superharmonic (k:1), subharmonic (1:ν) and ultra-subharmonic (k:ν) resonances are carefully studied using first and higher-order averaging. When the phase lag is calculated between the kth harmonic of the displacement and the harmonic forcing, this study evidences that phase resonance occurs when the phase lag is equal to either π/2 (phase quadrature) or 3π/4ν. © 2022 Elsevier Ltd
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Volvert, Martin  ;  Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Kerschen, Gaëtan  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Resonant phase lags of a Duffing oscillator
Publication date :
2022
Journal title :
International Journal of Non-Linear Mechanics
ISSN :
0020-7462
eISSN :
1878-5638
Publisher :
Elsevier Ltd
Volume :
146
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 30 October 2022

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