Internal resonance of pipes conveying fluid in the supercritical regime

DOI10.1007/S11071-011-0084-5zbMath1311.74049OpenAlexW1978754301MaRDI QIDQ437255

Yanlei Zhang, Li Qun Chen

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0084-5

zbMATH Keywords

Galerkin methodmethod of multiple scalesEuler-Bernoulli beamdisturbance equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (9)

Linear and nonlinear modal analysis of the axially moving continua based on the invariant manifold method ⋮ In-plane and out-of-plane dynamics of a curved pipe conveying pulsating fluid ⋮ Dynamical bifurcation and synchronization of two nonlinearly coupled fluid-conveying pipes ⋮ Dynamics of fluid conveying pipes using Rayleigh theory under non-classical boundary conditions ⋮ Internal-external resonance of a curved pipe conveying fluid resting on a nonlinear elastic foundation ⋮ On a cascade of autoresonances in an elevator cable system ⋮ Geometrically exact equation of motion for large-amplitude oscillation of cantilevered pipe conveying fluid ⋮ Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading ⋮ Nonlinear thermo-resonant behavior of fluid-conveying FG pipes

Cites Work

• Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances
• Non-linear vibration of a traveling tensioned beam
• Nonlinear dynamics of a fluid-conveying cantilevered pipe with a small mass attached at the free end
• Flow-induced internal resonances and mode exchange in horizontal cantilevered pipe conveying fluid. I
• Bifurcations to divergence and flutter in flow-induced oscillations: A finite dimensional analysis

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