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IssuesArchive of Issues2002-6pp.144-150

Archive of Issues

Total articles in the database: 3639
In Russian (. . ): 2053
In English (Mech. Solids): 1586

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V. G. Bazhenov, S. V. Zefirov, V. L. Kotov and A. V. Kochetkov, "The action of a longitudinal wave load on a pipeline in a soft ground," Mech. Solids. 37 (6), 144-150 (2002)
Year 2002 Volume 37 Number 6 Pages 144-150
Title The action of a longitudinal wave load on a pipeline in a soft ground
Author(s) V. G. Bazhenov (Nizhni Novgorod)
S. V. Zefirov (Nizhni Novgorod)
V. L. Kotov (Nizhni Novgorod)
A. V. Kochetkov (Nizhni Novgorod)
Abstract The dynamic interaction of elastic cylindrical shells with deformable media has been studied previously. For a survey of relevant publications, see [1]. One of the problems of practical importance is that of the calculation of underground pipelines under the action of a load moving along the pipe axis. The action of an axisymmetric wave of constant profile (a moving load) on an infinitely long cylindrical shell has been studied in [2]. The radial pressure on the shell is applied to its inner surface. The surrounding medium is rigidly adhered to the shell along the contact surface. Semi-analytical methods have been utilized to determine stresses and strains in the shell for large time instants. The major contribution to the displacement of the shell loaded by a moving axisymmetric load has been shown to be made by the moment-free solution.

In the present paper, we consider the response of pipelines to a moving wave load in a coupled formulation taking into account the contact interaction of the shell with a surrounding elastoplastic medium for various conditions of contact. The obtained results are compared with the analytical solution of [2], the capabilities of simplified approaches to be utilized for the solution of the problem are investigated, and the influence of a fluid inside the pipeline on the deformation process is analyzed.
References
1.  A. G. Gorshkov, "Unsteady interaction of plates and shells with continuous media," Izv. AN SSSR. MTT [Mechanics of Solids], No. 4, pp. 177-189, 1981.
2.  R. G. Yakutov, "The action of a moving load on a cylindrical shell in an elastic medium," Izv. AN SSSR. MTT [Mechanics of Solids], No. 3, pp. 152-157, 1979.
3.  V. G. Bazhenov, S. V. Zefirov, and I. N. Tsvetkova, "Numerical simulation of unsteady contact interaction of deformable structures," in Applied Problems of Strength and Plasticity. Numerical Simulation of Physico-mechanical Processes [in Russian], pp. 154-160, Izd-vo Nizhegorodsk. Un-ta, Nizhni Novgorod, 1995.
4.  S. S. Grigoryan, "On the basic notions of the ground mechanics," PMM [Applied Mathematics and Mechanics], Vol. 24, No. 6, pp. 1057-1072, 1960.
5.  V. G. Bazhenov, V. L. Kotov, A. V. Kochetkov, et al., "On wave processes in soil subjected to a surface charge explosion," Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 70-77, 2001.
6.  V. G. Bazhenov, A. M. Bragov, V. L. Kotov, et al., "The applicability analysis of a modified Kol'skii's method for dynamic tests of ground media in a deformable casing," Zh. Prikl. Mekhaniki i Tekhn. Fiziki, Vol. 41, No. 3, pp. 155-162, 2000.
7.  V. G. Bazhenov, S. V. Zefirov, and A. I. Kibets, "On the numerical implementation of a variational-difference moment scheme for solving nonlinear problems of dynamics of non-thin shells subject to impulsive loadings," in Applied Problems of Strength and Plasticity. Methods of Solution [in Russian], pp. 66-73, Izd-vo Gorkovsk. Un-ta, Gorky, 1988.
8.  V. G. Bazhenov, S. V. Zefirov, A. V. Kochetkov, et al., "Software package "Dinamika-2" for solving plane and axially symmetric nonlinear problems of unsteady interaction of structures with compressible media," Matematicheskoe Modelirovanie, Vol. 12, No. 6, pp. 67-72, 2000.
Received 30 November 2000
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