Bifurcations in nonlinear models of fluid-conveying pipes supported at both ends

Details Bifurcations in nonlinear models of fluid-conveying pipes supported at both ends Bifurcations in nonlinear models of fluid-conveying pipes supported at both ends

2005-09-30

arxiv.org/abs/nlin/0509056v1

Nonlinear Sciences

Chaotic Dynamics

to appear in Journal of Fluids and Structures; 6 figures

Scientific paper

10.1016/j.jfluidstructs.2005.09.

Stationary bifurcations in several nonlinear models of fluid conveying pipes fixed at both ends are analyzed with the use of Lyapunov-Schmidt reduction and singularity theory. Influence of gravitational force, curvature and vertical elastic support on various properties of bifurcating solutions are investigated. In particular the conditions for occurrence of supercritical and subcritical bifurcations are presented for the models of Holmes, Thurman and Mote, and Paidoussis.

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