Bifurcation behavior of nonlinear pipes conveying pulsating flow

DOI10.1016/S0889-9746(89)90157-6zbMath0717.73058OpenAlexW1988289677MaRDI QIDQ5748964

N. Sri Namachchivaya, Win-Min Tien

Publication date: 1989

Published in: Journal of Fluids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0889-9746(89)90157-6

zbMATH Keywords

stability boundariesperiodic solutionHopf bifurcationcenter manifold theoremaveragingsubharmonic resonancenonlinear behaviorset of autonomous equationscombination resonanceslinear variational equationbifurcation pathsnon-Hamiltonian approachPoincare-Birkhoff normal formssimple or double zero bifurcationsupported pipes

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stability of dynamical problems in solid mechanics (74H55) Optimization of other properties in solid mechanics (74P10) Averaging method for ordinary differential equations (34C29) Dynamical systems and ergodic theory (37-XX)

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