On codimension-three bifurcations in the motion of articulated tubes conveying a fluid

DOI10.1016/0167-2789(87)90082-0zbMath0623.76048OpenAlexW2038774364MaRDI QIDQ1091876

P. R. Sethna, Steven W. Shaw

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90082-0

zbMATH Keywords

Hopf bifurcationaveraging methodpitchfork bifurcationfourth order differential equationnonlinear instabilitybifurcation of linear instabilityequation of the pendular motionsystem of articulated pipes

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items

CODIMENSION-THREE BIFURCATIONS OF NONLINEAR VIBRATION-CONTROLLED SYSTEMS ⋮ Local bifurcations and codimension-3 degenerate bifurcations of a quintic nonlinear beam under parametric excitation ⋮ Homoclinic tangencies in the dynamics of articulated pipes conveying fluid

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Coupled flutter and divergence bifurcation of a double pendulum
• Applications of centre manifold theory
• Integral averaging and bifurcation
• Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
• Stability boundaries for flow induced motions of tubes with an inclined terminal nozzle
• Dynamics of a system of articulated pipes conveying fluid - I.Theory
• Flow Induced Bifurcations to Three-Dimensional Oscillatory Motions in Continuous Tubes
• The Saddle-Node Separatrix-Loop Bifurcation
• Hopf Bifurcation Phenomena in Tubes Carrying a Fluid
• Pipes Supported at Both Ends Cannot Flutter
• Bifurcations in Three-Dimensional Motions of Articulated Tubes, Part 1: Linear Systems and Symmetry
• Bifurcations in Three-Dimensional Motions of Articulated Tubes, Part 2: Nonlinear Analysis