On the Stability Behavor of Bifurcated Normal Modes in Coupled Nonlinear Systems

DOI10.1115/1.3176037zbMath0686.70007OpenAlexW2053977237MaRDI QIDQ4205099

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Publication date: 1989

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

Full work available at URL: https://doi.org/10.1115/1.3176037

zbMATH Keywords

Floquet's theorycoupled nonlinear oscillatorsSynge's stabilitygeneric bifurcationnongeneric bifurcationstability of bifurcated normal modesstability of continuing modes

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Stability analysis for nonplanar free vibrations of a cantilever beam by using nonlinear normal modes ⋮ A perturbation method for evaluating nonlinear normal modes of a piecewise linear two-degrees-of-freedom system ⋮ Bifurcation of coupled-mode responses by modal coupling in cubic nonlinear systems

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