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contributor authorA. K. Bajaj
contributor authorP. R. Sethna
date accessioned2017-05-08T23:12:28Z
date available2017-05-08T23:12:28Z
date copyrightSeptember, 1982
date issued1982
identifier issn0021-8936
identifier otherJAMCAV-26204#606_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95349
description abstractThree-dimensional motions of a two-segment articulated tube system carrying a fluid and having rotational symmetry about the vertical axis are examined for bifurcating periodic solutions. As the flow rate through the tubes is increased past a critical value, the downward vertical position of equilibrium gets unstable and bifurcates into two qualitatively different kinds of periodic motions. The mathematical problem is more general than that occurring in the Hopf bifurcations and the method of analysis used is the method of Alternate Problems. Since physical systems invariably have some asymmetry, the analysis takes into account these symmetry-breaking perturbations. In Part 1 of this two-part paper, symmetry properties of the system and the linear stability are discussed.
publisherThe American Society of Mechanical Engineers (ASME)
titleBifurcations in Three-Dimensional Motions of Articulated Tubes, Part 1: Linear Systems and Symmetry
typeJournal Paper
journal volume49
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.3162535
journal fristpage606
journal lastpage611
identifier eissn1528-9036
keywordsMotion
keywordsBifurcation
keywordsLinear systems
keywordsEquilibrium (Physics)
keywordsStability
keywordsFlow (Dynamics) AND Fluids
treeJournal of Applied Mechanics:;1982:;volume( 049 ):;issue: 003
contenttypeFulltext


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