Bifurcations in nonlinear models of fluid-conveying pipes supported at both ends
作者： M. Nikolić , M. Rajković
DOI: 10.1016/J.JFLUIDSTRUCTS.2005.09.009
关键词: Mechanics 、 Singularity 、 Reduction (mathematics) 、 Pipe flow 、 Supercritical fluid 、 Curvature 、 Mathematics 、 Nonlinear system 、 Classical mechanics 、 Lyapunov function 、 Singularity theory
摘要: Abstract Stationary bifurcations in several nonlinear models of fluid conveying pipes fixed at both ends are analyzed with the use Lyapunov–Schmidt reduction and singularity theory. Influence gravitational force, curvature vertical elastic support on various properties bifurcating solutions investigated. In particular conditions for occurrence supercritical subcritical presented Holmes, Thurman Mote, Paidoussis.
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