 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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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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