An Energy-Based Approach to Computing Resonant Nonlinear Normal Modes

DOI10.1115/1.2823367zbMath0880.70016OpenAlexW1993074052MaRDI QIDQ4340131

Melvin E. King, Alexander F. Vakakis

Publication date: 12 February 1998

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.2823367

zbMATH Keywords

asymptotic solutionsinternal resonance conditions3:1 resonance in hinged-clamped beam3:1 resonances in two-degree-of-freedom systemcommensurable linearized natural frequencies

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (7)

Asymptotic construction of nonlinear normal modes for continuous systems ⋮ Nonlinear normal modes in multi-mode models of an inertially coupled elastic structure ⋮ Nonlinear normal modes of a shallow arch with elastic constraints for two-to-one internal resonances ⋮ Resonant oscillations of a weakly coupled, nonlinear layered system ⋮ Wave propagation properties of one-dimensional acoustic metamaterials with nonlinear diatomic microstructure ⋮ Localization phenomena in structural dynamics ⋮ STRONG AND WEAK RESONANCES IN DELAYED DIFFERENTIAL SYSTEMS

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