Nonlinear dynamics of supported pipe conveying pulsating fluid. II: Combination resonance

DOI10.1016/0020-7462(89)90038-3zbMath0727.73052OpenAlexW1993483482MaRDI QIDQ804373

N. Sri Namchchivaya, Win-Min Tien

Publication date: 1989

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(89)90038-3

zbMATH Keywords

periodic solutionHopf bifurcationcenter manifold theoremnormal formsmethod of averagingbifurcating solutionsclamped-clamped pipespinned-pinnedset of autonomous equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Vibrations in dynamical problems in solid mechanics (74H45) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Optimization of other properties in solid mechanics (74P10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (7)

Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances ⋮ Divergence instability of pipes conveying fluid with uncertain flow velocity ⋮ Three-dimensional dynamics of a cantilevered pipe conveying pulsating fluid ⋮ Nonlinear resonant responses, mode interactions, and multitime periodic and chaotic oscillations of a cantilevered pipe conveying pulsating fluid under external harmonic force ⋮ 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 ⋮ Chaos in mechanical systems -- a review

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