A flexible elastic pipe transporting fluid is held by an elastic rotational spring at one end, while at the other end, a portion of the pipe may slide on a frictional support. Regardless of the gravity loads, when the internal flow velocity is higher than the critical velocity, large displacements of static equilibrium and divergence instability can be induced. This problem is highly nonlinear. Based on the inextensible elastica theory, it is solved herein via the use of elliptic integrals and the shooting method. Unlike buckling with stable branching of a simply supported elastica pipe with constant length, the variable arc-length elastica pipe buckles with unstable branching. The friction at the support has an influence in shifting the critical locus over the branching point. Alteration of the flow history causes jumping between equilibrium paths due to abrupt changes of direction of the support friction. The elastic rotational restraint brings about unsymmetrical bending configurations; consequently, snap-throughs and snap-backs can occur on odd and even buckling modes, respectively. From the theoretical point of view, the equilibrium configurations could be formed like soliton loops due to snapping instability.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Divergence instability of variable-arc-length elastica pipes transporting fluid


    Additional title:

    Statische Stabilität einer durchströmten elastisch dehnbaren Rohrleitung


    Contributors:

    Published in:

    Publication date :

    2000


    Size :

    22 Seiten, 9 Bilder, 2 Tabellen, 24 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




    Nonlinear free vibrations of marine risers/pipes transporting fluid

    Kaewunruen, Sakdirat / Chiravatchradej, Julapot / Chucheepsakul, Somchai | Tema Archive | 2005


    Large strain formulations of extensible flexible marine pipes transporting fluid

    Chucheepsakul, S. / Monprapussorn, T. / Huang, T. | Tema Archive | 2003



    Rueda elástica para vehículos ferroviarios

    LANDABEREA RODRIGUEZ JOSÉ AITOR / IARTZA ZUBIRIA JON / IRIZAR IZAGUIRRE IKER et al. | European Patent Office | 2017

    Free access

    Trailer for transporting seamless steel pipes

    ZHU YUGEN | European Patent Office | 2016

    Free access