On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling

This paper presents an analysis of the behavior of a non-cohesive granular material deposit excited at its base by a horizontal harmonic vibration. The analysis is carried out numerically by means of a 2D discrete element model. The performed simulations highlighted some aspects of vibration behavio...

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Main Authors: Derbane, Said, Mansouri, Mouloud, Messast, Salah,  El Malki Alaoui, Aboulghit
Format: Article
Language:English
Published: Académie des sciences 2025-01-01
Series:Comptes Rendus. Mécanique
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Online Access:https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.282/
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author Derbane, Said
Mansouri, Mouloud
Messast, Salah
 El Malki Alaoui, Aboulghit
author_facet Derbane, Said
Mansouri, Mouloud
Messast, Salah
 El Malki Alaoui, Aboulghit
author_sort Derbane, Said
collection DOAJ
description This paper presents an analysis of the behavior of a non-cohesive granular material deposit excited at its base by a horizontal harmonic vibration. The analysis is carried out numerically by means of a 2D discrete element model. The performed simulations highlighted some aspects of vibration behavior in non-cohesive deposits, such as the shape of the vertical profile of the displacement, notably in the case of large displacements. The analysis particularly focused on the amplification of the movement at the free surface of the deposit, as well as its dependence on some parameters such as the excitation frequency and the excitation amplitude of the deposit confinement. The obtained results showed that the behavior of the deposit following the change in the excitation frequency is similar to the case of an elastic deposit excited by a harmonic displacement at the base, i.e. the Dynamic Amplification Factor (DAF) initially increases with the frequency increase, it reaches a peak of resonance then it decreases. The resonance frequency estimated from this analysis is close to the fundamental frequency for low excitation amplitudes, but becomes smaller as the excitation amplitude increases. On the other hand, for a fixed frequency, increasing the amplitude of the excitation induces greater amplification. It has been shown that this increase results from the degradation of the shear modulus due to the increase in the level of involved shear strain. Therefore, unlike elastic deposits, for non-cohesive granular deposits, increasing strain leads to a degradation of the shear modulus, resulting in a downward shift of the resonance frequency and can induce a significant increase in amplification. The confinement of the deposit is achieved by increasing the gravitational acceleration; it has been shown that increased confinement makes the deposit stiffer, and therefore reduces the amplification of the introduced movement.
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spelling doaj-art-23c85a65fa2c4b648585c0a58f528c922025-02-07T13:49:01ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342025-01-01353G132133810.5802/crmeca.28210.5802/crmeca.282On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modelingDerbane, Said0https://orcid.org/0009-0003-7773-5806Mansouri, Mouloud1https://orcid.org/0000-0002-4179-7488Messast, Salah2https://orcid.org/0000-0002-0864-2257 El Malki Alaoui, Aboulghit3https://orcid.org/0000-0003-1357-8509Department of Civil Engineering, LMGHU Laboratory, University of 20 August 1955 Skikda, BP 26, 21000, Skikda, AlgeriaDepartment of Civil Engineering, University of Ferhat Abbas Sétif 1, Setif 19000, AlgeriaDepartment of Civil Engineering, LMGHU Laboratory, University of 20 August 1955 Skikda, BP 26, 21000, Skikda, AlgeriaENSTA Bretagne, IRDL, UMR 6027, CNRS, 29806 Brest, FranceThis paper presents an analysis of the behavior of a non-cohesive granular material deposit excited at its base by a horizontal harmonic vibration. The analysis is carried out numerically by means of a 2D discrete element model. The performed simulations highlighted some aspects of vibration behavior in non-cohesive deposits, such as the shape of the vertical profile of the displacement, notably in the case of large displacements. The analysis particularly focused on the amplification of the movement at the free surface of the deposit, as well as its dependence on some parameters such as the excitation frequency and the excitation amplitude of the deposit confinement. The obtained results showed that the behavior of the deposit following the change in the excitation frequency is similar to the case of an elastic deposit excited by a harmonic displacement at the base, i.e. the Dynamic Amplification Factor (DAF) initially increases with the frequency increase, it reaches a peak of resonance then it decreases. The resonance frequency estimated from this analysis is close to the fundamental frequency for low excitation amplitudes, but becomes smaller as the excitation amplitude increases. On the other hand, for a fixed frequency, increasing the amplitude of the excitation induces greater amplification. It has been shown that this increase results from the degradation of the shear modulus due to the increase in the level of involved shear strain. Therefore, unlike elastic deposits, for non-cohesive granular deposits, increasing strain leads to a degradation of the shear modulus, resulting in a downward shift of the resonance frequency and can induce a significant increase in amplification. The confinement of the deposit is achieved by increasing the gravitational acceleration; it has been shown that increased confinement makes the deposit stiffer, and therefore reduces the amplification of the introduced movement.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.282/Sand depositBehavior of a granular soilDiscrete element methodShear wavePropagation
spellingShingle Derbane, Said
Mansouri, Mouloud
Messast, Salah
 El Malki Alaoui, Aboulghit
On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling
Comptes Rendus. Mécanique
Sand deposit
Behavior of a granular soil
Discrete element method
Shear wave
Propagation
title On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling
title_full On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling
title_fullStr On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling
title_full_unstemmed On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling
title_short On the behavior of a granular soil deposit subjected to horizontal vibration. A discrete element modeling
title_sort on the behavior of a granular soil deposit subjected to horizontal vibration a discrete element modeling
topic Sand deposit
Behavior of a granular soil
Discrete element method
Shear wave
Propagation
url https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.282/
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