Stability and local bifurcation of parameter-excited vibration of pipes conveying pulsating fluid under thermal loading

DOI10.1007/s10483-015-1960-7zbMath1322.70019OpenAlexW1846002697MaRDI QIDQ748150

D. Kharzeev

Publication date: 20 October 2015

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-015-1960-7

zbMATH Keywords

thermal loadlocal bifurcationparameter excitedphysical parameter spaceunfolding parameter space

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Two-body problems (70F05) Constrained dynamics, Dirac's theory of constraints (70H45) (n)-body problems (70F10) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (2)

Improved frequency modeling and solution for parallel liquid-filled pipes considering both fluid-structure interaction and structural coupling ⋮ Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity

Cites Work

• Internal resonance of pipes conveying fluid in the supercritical regime
• Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances
• Instability of simply supported pipes conveying fluid under thermal loads
• Hopf bifurcation and chaotic motions of a tubular cantilever subject to cross flow and loose support
• Flow-induced internal resonances and mode exchange in horizontal cantilevered pipe conveying fluid. II
• The Non-linear Equations of Motion of Pipes Conveying Fluid
• The Method of Normal Forms

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