Bifurcations in nonlinear models of fluid-conveying pipes supported at both ends
Chaotic Dynamics
2016-09-08 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0509056,
title = {Bifurcations in nonlinear models of fluid-conveying pipes supported at both ends},
author = {Mladen Nikolic and Milan Rajkovic},
journal= {arXiv preprint arXiv:nlin/0509056},
year = {2016}
}
Comments
to appear in Journal of Fluids and Structures; 6 figures