Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered Soil

Scouring can reduce the strength and rigidity of the pile–soil system and become one of the major causes for the failure of the structure of the partially-embedded single pile. The stratification of the soil fields has a significant influence on the internal force and deformation of laterally-loaded...

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Main Authors: Jianjun Ma, Shujuan Han, Xiaojuan Gao, Da Li, Ying Guo, Qijian Liu
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/3/1504
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author Jianjun Ma
Shujuan Han
Xiaojuan Gao
Da Li
Ying Guo
Qijian Liu
author_facet Jianjun Ma
Shujuan Han
Xiaojuan Gao
Da Li
Ying Guo
Qijian Liu
author_sort Jianjun Ma
collection DOAJ
description Scouring can reduce the strength and rigidity of the pile–soil system and become one of the major causes for the failure of the structure of the partially-embedded single pile. The stratification of the soil fields has a significant influence on the internal force and deformation of laterally-loaded piles. A dynamic model of the laterally-loaded single pile in layered soil is established employing Hamilton’s principle based on the modified Vlasov foundation model. Then, the finite difference method is used to obtain the numerical matrix containing the control equations of the single pile to achieve accurate modeling of the soil–structure interaction (SSI) system affected by scouring, so as to solve the natural frequencies of the single pile. Green’s function method obtains the analytical solution of the forced vibration of the single pile. The effects of scouring and the layered soil on the dynamic response of the single pile are studied by numerical calculation and parameter analysis. It is shown that the dynamic model of the partially-embedded single pile in layered soil based on the modified Vlasov foundation model can accurately predict the dynamic characteristics of pile foundation affected by scouring. As the scouring degree intensifies, the first-order natural frequencies of the single pile in layered soil decrease significantly. The subgrade reaction coefficient of each layer of soil in the modified Vlasov foundation model decreases, and the shear coefficient increases. The first-order natural frequencies of the single pile at each scour level increase with the increase in the thickness of the underlying soil. When the elastic modulus of the first layer of soil is increased by one time, the first-order natural frequencies of the single pile are increased by about 20%.
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spelling doaj.art-ed8605265fb54454845ea9ed5f7bac6e2023-11-23T15:58:43ZengMDPI AGApplied Sciences2076-34172022-01-01123150410.3390/app12031504Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered SoilJianjun Ma0Shujuan Han1Xiaojuan Gao2Da Li3Ying Guo4Qijian Liu5School of Civil Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaSchool of Civil Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaEngineering Technology Research Center of Safety and Protection of Buildings of Henan Province, Luoyang 471023, ChinaSchool of Civil Engineering, Henan University of Science and Technology, Luoyang 471023, ChinaEngineering Technology Research Center of Safety and Protection of Buildings of Henan Province, Luoyang 471023, ChinaCollege of Civil Engineering, Hunan University, Changsha 410082, ChinaScouring can reduce the strength and rigidity of the pile–soil system and become one of the major causes for the failure of the structure of the partially-embedded single pile. The stratification of the soil fields has a significant influence on the internal force and deformation of laterally-loaded piles. A dynamic model of the laterally-loaded single pile in layered soil is established employing Hamilton’s principle based on the modified Vlasov foundation model. Then, the finite difference method is used to obtain the numerical matrix containing the control equations of the single pile to achieve accurate modeling of the soil–structure interaction (SSI) system affected by scouring, so as to solve the natural frequencies of the single pile. Green’s function method obtains the analytical solution of the forced vibration of the single pile. The effects of scouring and the layered soil on the dynamic response of the single pile are studied by numerical calculation and parameter analysis. It is shown that the dynamic model of the partially-embedded single pile in layered soil based on the modified Vlasov foundation model can accurately predict the dynamic characteristics of pile foundation affected by scouring. As the scouring degree intensifies, the first-order natural frequencies of the single pile in layered soil decrease significantly. The subgrade reaction coefficient of each layer of soil in the modified Vlasov foundation model decreases, and the shear coefficient increases. The first-order natural frequencies of the single pile at each scour level increase with the increase in the thickness of the underlying soil. When the elastic modulus of the first layer of soil is increased by one time, the first-order natural frequencies of the single pile are increased by about 20%.https://www.mdpi.com/2076-3417/12/3/1504partially-embedded single pilelayered soilmodified Vlasov foundation modelscour effectfinite difference methodGreen’s function method
spellingShingle Jianjun Ma
Shujuan Han
Xiaojuan Gao
Da Li
Ying Guo
Qijian Liu
Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered Soil
Applied Sciences
partially-embedded single pile
layered soil
modified Vlasov foundation model
scour effect
finite difference method
Green’s function method
title Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered Soil
title_full Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered Soil
title_fullStr Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered Soil
title_full_unstemmed Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered Soil
title_short Dynamic Lateral Response of the Partially-Embedded Single Piles in Layered Soil
title_sort dynamic lateral response of the partially embedded single piles in layered soil
topic partially-embedded single pile
layered soil
modified Vlasov foundation model
scour effect
finite difference method
Green’s function method
url https://www.mdpi.com/2076-3417/12/3/1504
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