Model of the dynamics of a tunnel and a shallow underground pipeline under the action of traffic loads


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Authors

  • L.A. Alexeyeva Institute of Mathematics and Mathematical Modeling of MES RK
  • V.N. Ukrainets Toraighyrov University

Keywords:

Elastic half-space, subsonic transport load, multilayer cylindrical shell, stress-strain state

Abstract

A mathematical model has been developed for the effect of transport loads on a tunnel reinforced with a
multilayer shell and an underground multilayer pipeline at their shallow location. As a design scheme for these underground
structures, an elastic cylindrical multilayer shell located in an elastic half-space (massif) is considered. The displacement
of the layers of the shell and the elastic half-space is described by the Lame equations in a moving coordinate system. An
analytical solution is obtained for the problem of determining the components of the stress-strain state of a rock mass and a shell at arbitrary loading speeds in the subsonic case, when the transport load moves at a speed lower than the propagation
velocities of longitudinal and transverse waves in the rock and shell. The results of computer experiments are presented,
which illustrate the stress-strain state of the pipeline and the earth’s surface under moving axisymmetric traffic loads

Published

2020-12-30

How to Cite

Л.А. Алексеева, & В.Н. Украинец. (2020). Model of the dynamics of a tunnel and a shallow underground pipeline under the action of traffic loads. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 133(4), 28–39. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/78

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