Linear mechanics of spiral pipelines

DOI10.1016/0021-8928(79)90111-4zbMath0463.73043OpenAlexW1549167532MaRDI QIDQ1153727

B. A. Gordienko

Publication date: 1979

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(79)90111-4

zbMATH Keywords

equations of motionnonstationary flowtransverse shear strainlinear formulationrotational inertiafriction of fluidnondeformability of pipeline cross sectionpressure of flowspatially-curvilinear elastic pipelines

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Incompressible viscous fluids (76D99) Membranes (74K15) Dynamical problems in solid mechanics (74H99) Variational principles of physics (49S05) Equilibrium (steady-state) problems in solid mechanics (74G99)

Cites Work

• Dynamics of a system of articulated pipes conveying fluid - I.Theory
• Axisymmetric flow of a viscous fluid within an elastic cylindrical tube
• [https://portal.mardi4nfdi.de/wiki/Publication:5328753 Instabilit�t durchstr�mter Rohre]
• Unstable oscillation of tubular cantilevers conveying fluid I. Theory
• On one problem of stability of a pipe with a fluid flowing through it
• Hydroelastic Instability of Uniformly Curved Pipe-Fluid Systems
• Vibration of Pipes Containing Flowing Fluids

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