Calculation of the wave field in a layered soil foundation using the grid method

The article contains a solution to the problem of propagation of waves in a soil massif arising from the movement of subway trains. This problem often arises when predicting vibration levels in buildings located near metro lines. The problem is considered in a two-dimensional formulation, taking int...

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Main Authors: Sizov Dmitrii, Egereva Elvira
Format: Article
Language:English
Published: EDP Sciences 2024-01-01
Series:E3S Web of Conferences
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/45/e3sconf_tt21c-2024_02001.pdf
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author Sizov Dmitrii
Egereva Elvira
author_facet Sizov Dmitrii
Egereva Elvira
author_sort Sizov Dmitrii
collection DOAJ
description The article contains a solution to the problem of propagation of waves in a soil massif arising from the movement of subway trains. This problem often arises when predicting vibration levels in buildings located near metro lines. The problem is considered in a two-dimensional formulation, taking into account the actual location of soil layers with different physical and mechanical properties. The soil is modeled using the assumption of its linear deformability, which, to a first approximation, is acceptable due to small vibration displacements. To solve the problem, the finite difference method is used, which allows taking into account the various physical properties of individual soil layers and the structure of subway tunnels and at the same time is one of the simplest numerical methods. To obtain a solution, the direct integration method is used using an explicit scheme, which requires setting sufficiently small time steps. The results are presented as graphs of vibration displacements obtained at various points in time. The graphs illustrate the different nature of the wave field at different load frequencies. The dynamic load is specified in the form of vibrations of the walls of the subway tunnel.
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spelling doaj.art-152fd35db57d4e47a5a6ad22ab7834ce2024-04-17T09:12:18ZengEDP SciencesE3S Web of Conferences2267-12422024-01-015150200110.1051/e3sconf/202451502001e3sconf_tt21c-2024_02001Calculation of the wave field in a layered soil foundation using the grid methodSizov Dmitrii0Egereva Elvira1Moscow State University of Civil Engineering, Department of Structural and Theoretical MechanicsMoscow State University of Civil Engineering, Department of Structural and Theoretical MechanicsThe article contains a solution to the problem of propagation of waves in a soil massif arising from the movement of subway trains. This problem often arises when predicting vibration levels in buildings located near metro lines. The problem is considered in a two-dimensional formulation, taking into account the actual location of soil layers with different physical and mechanical properties. The soil is modeled using the assumption of its linear deformability, which, to a first approximation, is acceptable due to small vibration displacements. To solve the problem, the finite difference method is used, which allows taking into account the various physical properties of individual soil layers and the structure of subway tunnels and at the same time is one of the simplest numerical methods. To obtain a solution, the direct integration method is used using an explicit scheme, which requires setting sufficiently small time steps. The results are presented as graphs of vibration displacements obtained at various points in time. The graphs illustrate the different nature of the wave field at different load frequencies. The dynamic load is specified in the form of vibrations of the walls of the subway tunnel.https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/45/e3sconf_tt21c-2024_02001.pdf
spellingShingle Sizov Dmitrii
Egereva Elvira
Calculation of the wave field in a layered soil foundation using the grid method
E3S Web of Conferences
title Calculation of the wave field in a layered soil foundation using the grid method
title_full Calculation of the wave field in a layered soil foundation using the grid method
title_fullStr Calculation of the wave field in a layered soil foundation using the grid method
title_full_unstemmed Calculation of the wave field in a layered soil foundation using the grid method
title_short Calculation of the wave field in a layered soil foundation using the grid method
title_sort calculation of the wave field in a layered soil foundation using the grid method
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/45/e3sconf_tt21c-2024_02001.pdf
work_keys_str_mv AT sizovdmitrii calculationofthewavefieldinalayeredsoilfoundationusingthegridmethod
AT egerevaelvira calculationofthewavefieldinalayeredsoilfoundationusingthegridmethod