Details

Autor(en) / Beteiligte

• Cirillo, G.I.
• Habib, G.
• Kerschen, G.
• Sepulchre, R.

Titel

Analysis and design of nonlinear resonances via singularity theory

Ist Teil von

• Journal of sound and vibration, 2017-03, Vol.392, p.295-306

Ort / Verlag

Amsterdam: Elsevier Ltd

Erscheinungsjahr

2017

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.