Resonant phase lags of a Duffing oscillator

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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