Out-of-unison resonance in weakly nonlinear coupled oscillators

DOI10.1098/rspa.2014.0659zbMath1371.70056OpenAlexW2106950503WikidataQ50983836 ScholiaQ50983836MaRDI QIDQ5362336

S. A. Nelid, A. Cammarano, T. L. Hill, David J. Wagg

Publication date: 29 September 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2014.0659

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30) Normal forms for nonlinear problems in mechanics (70K45) Nonlinear modes (70K75)

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The use of normal forms for analysing nonlinear mechanical vibrations ⋮ Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method ⋮ Identifying the significance of nonlinear normal modes ⋮ Simultaneous normal form transformation and model-order reduction for systems of coupled nonlinear oscillators ⋮ Conditions for the existence of isolated backbone curves ⋮ Identifying phase-varying periodic behaviour in conservative nonlinear systems ⋮ Comparing the direct normal form and multiple scales methods through frequency detuning ⋮ On Nonlinear Motions of Two-Degree-of-Freedom Nonlinear Systems with Repeated Linearized Natural Frequencies

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