A two-harmonic homotopy method to experimentally uncover isolated resonances

[en] Secondary resonances of nonlinear systems may appear as isolated branches of solutions, challenging their characterization and making them particularly difficult to observe experimentally. This work exploits a two-harmonic homotopy method that leverages two-harmonic forcing as a proxy to connect primary and secondary resonances. An experimental implementation with simple feedback controllers is presented. This approach is then validated with an electronic Duffing oscillator and a doubly clamped beam featuring a distributed geometrical nonlinearity. It is shown to experimentally uncover isolas in both of these examples.

Disciplines :

Aerospace & aeronautics engineering
Mechanical engineering

Author, co-author :

Raze, Ghislain ; 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 :

A two-harmonic homotopy method to experimentally uncover isolated resonances

Publication date :

June 2025

Journal title :

Mechanical Systems and Signal Processing

ISSN :

0888-3270

eISSN :

1096-1216

Publisher :

Elsevier

Volume :

232

Pages :

112670

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0888327025003711?httpAccept=text/xml

Funders :

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

Funding text :

Ghislain Raze is a Postdoctoral Researcher of the Fonds de la Recherche Scientifique - FNRS which is gratefully acknowledged.

Data Set :

Experimental data from " A two-harmonic homotopy method to experimentally uncover isolated resonances"

Available on ORBi :

since 12 April 2025

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Bibliography

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