This article is cited in 6 papers

Approximate solution to the nonlinear problem of an underground pipeline deformation

V. A. Rukavishnikov, O. P. Tkachenko

Computing Center, FEB RAS, Khabarovsk

Abstract: Some geometrically nonlinear mathematical model is constructed of a pipeline as a shell in a strongly viscous medium. We find a universal procedure for reducing the two-dimensional equations of motion to the one-dimensional equations for long bent pipes. We also constructed a difference scheme and propose a software omplex for numerical analysis of the equations under study. Some numerical experiments are conducted for a particular case of a bent pipeline, the deformations of the pipe wall are found, and the displacement of its centerline is calculated.

Keywords: curvilinear pipeline, finite deformation, difference scheme, numerical experiment.

UDC: 532.595+519.633

Received: 25.02.2010

 English version: Journal of Applied and Industrial Mathematics, 2012, 6:1, 100–110

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