Nonlinear dynamics of supported pipe conveying pulsating fluid. I: Subharmonic resonance

DOI10.1016/0020-7462(89)90037-1zbMath0727.73051OpenAlexW2037206200MaRDI QIDQ804371

N. Sri Namchchivaya

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)90037-1

zbMATH Keywords

method of averagingbifurcation behaviorautonomous, averaged equationsclamped-clamped pipesparametric excitation frequencypinned- pinnedset of autonomous equations

Mathematics Subject Classification ID

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 (8)

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 ⋮ Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach ⋮ Chaos in mechanical systems -- a review

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