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...
Main Authors: | , , , , , |
---|---|
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 |
_version_ | 1797489095008583680 |
---|---|
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%. |
first_indexed | 2024-03-10T00:12:35Z |
format | Article |
id | doaj.art-ed8605265fb54454845ea9ed5f7bac6e |
institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-03-10T00:12:35Z |
publishDate | 2022-01-01 |
publisher | MDPI AG |
record_format | Article |
series | Applied Sciences |
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 |
work_keys_str_mv | AT jianjunma dynamiclateralresponseofthepartiallyembeddedsinglepilesinlayeredsoil AT shujuanhan dynamiclateralresponseofthepartiallyembeddedsinglepilesinlayeredsoil AT xiaojuangao dynamiclateralresponseofthepartiallyembeddedsinglepilesinlayeredsoil AT dali dynamiclateralresponseofthepartiallyembeddedsinglepilesinlayeredsoil AT yingguo dynamiclateralresponseofthepartiallyembeddedsinglepilesinlayeredsoil AT qijianliu dynamiclateralresponseofthepartiallyembeddedsinglepilesinlayeredsoil |