Open AccessModel of the dynamics of a shallow tunnel under the action of a traffic load
Author(s) -
L. A. Alexeyeva
Publication year - 2020
Publication title -
l.n. gumilev atyndaġy euraziâ u̇lttyk̦ universitetìnìn̦ habaršysy. matematika, informatika, mehanika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-1326
pISSN - 2616-7182
DOI - 10.32523/2616-7182/2020-133-4-28-39
Subject(s) - shell (structure) , rotational symmetry , transverse plane , mechanics , stress (linguistics) , moving load , structural engineering , half space , action (physics) , pipeline (software) , surface (topology) , geotechnical engineering , materials science , geology , engineering , physics , finite element method , geometry , mathematics , composite material , mechanical engineering , linguistics , philosophy , quantum mechanics
A mathematical model has been developed for the effect of an arbitrary transport load on a shallow tunnel, supported by a multilayer elastic cylindrical shell located in an elastic half-space. 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 pipelines and the earth's surface under moving traffic loads.