Bifurcations in Three-Dimensional Motions of Articulated Tubes, Part 1: Linear Systems and Symmetry

DOI10.1115/1.3162535zbMath0507.73036OpenAlexW2038503599MaRDI QIDQ4745363

P. R. Sethna, Anil K. Bajaj

Publication date: 1982

Published in: Journal of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1115/1.3162535

zbMATH Keywords

unstablesymmetry-breaking perturbationsthree-dimensional motionsbifurcating periodic solutionsmethod of alternate problemsbifurcates into two qualitatively different kinds of periodic motionscarrying fluiddownward vertical position of equilibriumincreased past critical valuelinear systems and symmetryrotational symmetry about vertical axistwo-segment articulated tube system

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Membranes (74K15)

Related Items (4)

Classification and unfoldings of \(1:2\) resonant Hopf bifurcation ⋮ On codimension-three bifurcations in the motion of articulated tubes conveying a fluid ⋮ Double Hopf bifurcation in delayed reaction-diffusion systems ⋮ Homoclinic tangencies in the dynamics of articulated pipes conveying fluid

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