CUED Publications database

Analysis and design of nonlinear resonances via singularity theory

Cirillo, GI and Habib, G and Kerschen, G and Sepulchre, R (2016) Analysis and design of nonlinear resonances via singularity theory. Journal of Sound and Vibration, 392. pp. 295-306. ISSN 0022-460X

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Bifurcation theory and continuation methods are well-established tools for the analysis of nonlinear mechanical systems subject to periodic forcing. We illustrate the added value and the complementary information provided by singularity theory with one distinguished parameter. While tracking bifurcations reveals the qualitative changes in the behaviour, tracking singularities reveals how structural changes are themselves organised in parameter space. The complementarity of that information is demonstrated in the analysis of detached resonance curves in a two-degree-of-freedom system.

Item Type: Article
Uncontrolled Keywords: nonlinear frequency response detached resonance curve singularity theory
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:18
Last Modified: 08 Jul 2021 06:30
DOI: 10.1016/j.jsv.2016.12.044