On flexible tubes conveying fluid: geometric nonlinear theory, stability and dynamics

DOI10.1007/s00332-015-9246-9zbMath1327.74055OpenAlexW1977307211MaRDI QIDQ496310

Vakhtang Putkaradze, François Gay-Balmaz

Publication date: 21 September 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-015-9246-9

zbMATH Keywords

variational principlecollapsible tubesgeometrically exact theoryholonomic constrainttube conveying fluids

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Other variational principles in mechanics (70H30) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Explicit solutions of dynamical problems in solid mechanics (74H05)

Related Items (7)

Geometric theory of flexible and expandable tubes conveying fluid: equations, solutions and shock waves ⋮ Swirling fluid flow in flexible, expandable elastic tubes: variational approach, reductions and integrability ⋮ Variational Methods for Fluid-Structure Interactions ⋮ Hamel's formalism for infinite-dimensional mechanical systems ⋮ Nonlinear dynamics of straight fluid-conveying pipes with general boundary conditions and additional springs and masses ⋮ A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system ⋮ Actively deforming porous media in an incompressible fluid: a variational approach

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