Dynamics of a nonlinear periodic structure with cyclic symmetry

DOI10.1007/BF01170813zbMath0765.73045OpenAlexW2081444243MaRDI QIDQ1194843

Alexander F. Vakakis

Publication date: 4 October 1992

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170813

zbMATH Keywords

vibrationsbifurcationsmode interactionjump phenomenacubic material nonlinearitylinear flexural beamsmultiple-scales averaging analysisnonlinear degenerate modesrigid circular support

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Stability of dynamical problems in solid mechanics (74H55)

Related Items (8)

Free transverse vibration of rotating blades in a bladed disk assembly ⋮ Amplitude modulated dynamics and bifurcations in the resonant response of a structure with cyclic symmetry ⋮ Robust dynamic analysis of detuned-mistuned rotating bladed disks with geometric nonlinearities ⋮ Wave propagation in one-dimensional nonlinear acoustic metamaterials ⋮ On the decomposition of generalized eigenproblems for the free vibration analysis of cyclically symmetric finite element models ⋮ Vibration absorbers for a rotating flexible structure with cyclic symmetry: nonlinear path design ⋮ Non-resonant and resonant chaotic dynamics in externally excited cyclic systems ⋮ Resonant vibrations in harmonically excited weakly coupled mechanical systems with cyclic symmetry

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• An Application of the Poincare´ Map to the Stability of Nonlinear Normal Modes
• Nonlinear resonances in a class of multi-degree-of-freedom systems
• On Steady-State Harmonic Vibrations of Nonlinear Systems With Many Degrees of Freedom

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