Backbone curves of coupled cubic oscillators in one-to-one internal resonance: bifurcation scenario, measurements and parameter identification

DOI10.1007/s11012-020-01132-2zbMath1483.34050OpenAlexW3006562013MaRDI QIDQ2121037

Jin-Jack Tan, Cyril Touzé, Olivier Thomas, Arthur Givois

Publication date: 1 April 2022

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-020-01132-2

zbMATH Keywords

measurementsstabilitybifurcationsnonlinear vibrationsmodel identification1:1 resonancebackbone curve

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability for problems in linear vibration theory (70J25)

Related Items

1:1 internal resonance in a two d.o.f. complete system: a comprehensive analysis and its possible exploitation for design ⋮ Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1:2 internal resonance and frequency combs in MEMS ⋮ Nonlinear dynamics of coupled oscillators in 1:2 internal resonance: effects of the non-resonant quadratic terms and recovery of the saturation effect ⋮ Commentary to ``Backbone curves of coupled cubic oscillators in one-to-one internal resonance: bifurcation scenario, measurements and parameter identification ⋮ Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements

Uses Software

• AUTO
• ManLab

Cites Work

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