Homoclinic orbits in the dynamics of articulated pipes conveying fluid

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)

Abstract

A model is considered representing an elastically jointed pair of articulated pipes conveying fluid. The motion is described by a four-component system of autonomous ordinary differential equations. Numerical techniques are used to investigate changes in the dynamics as two parameters are varied. These parameters represent the fluid flow-rate and a form of symmetry-breaking. Evidence is found that the global bifurcation picture is surprisingly complicated, involving chaos and two types of homoclinic behaviour: namely, Sil'nikov homoclinic orbits to a saddle-focus stationary point, and homoclinic tangencies to periodic orbits. Local theory respective to each type of homoclinicity is reviewed and compared with the numerical results.
Translated title of the contributionHomoclinic orbits in the dynamics of articulated pipes conveying fluid
Original languageEnglish
JournalNonlinearity
DOIs
Publication statusPublished - 1991

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