Underground pipelines dynamics problem solution under longitudinal seismic loading

Abstract

In this article are considered some problems of oscillations of underground pipelines under seismic loading. The resulting system of equations is solved by the finite-difference of the second order of accuracy. The program is based on a computer algorithm implementation on oriented language Borland Delphi 7. Conducted theoretical and computational-experimental studies solve the problem of assessing the stress-strain state of underground pipelines under seismic effect the axes of the pipeline. The Stress-strain state of the underground pipeline is studied at linear and non-linear interaction with the soil. Linear and non-linear solutions are compared. Dangerous points of maximum normal stress occurrence under seismic loading in the underground pipeline are determined to take into account elastic pipe-soil system interaction. The conducted computational and experimental studies allow solving the problems of assessing the stress-strain state of pipelines under seismic loading, which is important for practical calculations.

Vibrations of a Girder on Rigid Supports of Finite Mass Interacting With Soil under Seismic Loads

“…This article aims to study the transverse vibrations of a single-span girder bridge, the pile part of which interacts with the surrounding soil under seismic action Academician T. Rashidov has developed a dynamic theory of seismic resistance of complex systems of underground structures based on considering the difference in strains of a structure and soil [16][17]. Several scientists in our country and abroad have researched the problems of seismic resistance of underground and surface structures interacting with surrounding soil [18][19][20][21][22][23]. To assess the reliability and bearing capacity of road girder bridges on supports, in addition to the moving loads acting on the girder, we should take into account the forces transmitted through the girder supports related to the impact of, for example, seismic waves.…”

Study of the seismodynamics of spatially located underground pipelines with a nodal connection of non-orthogonal configuration

“…E.N. Figarov and many others who dealt with seismic resistance of structures working in the world's leading scientific centers, universities, and research institutes [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”

Transverse Vibrations of Underground Pipelines with Different Interaction Laws of Pipe with Surrounding Soils

“…To date, in domestic and foreign science, there are theoretical and experimental studies for determining the stress-strain state [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] and stability [17][18][19][20][21][22][23][24] of underground pipelines interacting with the surrounding soil under seismic effects. A theory of propagating seismic waves in an underground pipeline and surrounding soil called the wave theory of seismic resistance of underground pipelines is proposed in [12].…”