This article is cited in 4 papers

Nonlinear equations of motion of an extensible underground pipeline: derivation and numerical modeling

V. A. Rukavishnikov, O. P. Tkachenko

Computation Center, Far-East Division, Russian Academy of Sciences, Khabarovsk, 680021

Abstract: Slow motion of a pipeline modeled by a bent rod in a viscous medium is studied. It is assumed that the displacements of the axial line of the rod are finite and its strains are small. The mutual influence of the tensile axial force and transverse deflections is taken into account. Equations of motion are derived and some numerical examples are considered. An approximate estimate of stresses in the pipeline wall is given.

Keywords: curved pipeline, viscous medium, finite displacements, numerical analysis.

UDC: 532.595:519.633.6

Received: 18.06.2002
Accepted: 23.01.2003

 English version: Journal of Applied Mechanics and Technical Physics, 2003, 44:4, 571–583

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