Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile Head

This study examines the horizontal transient response of pipe piles in saturated soil, assuming a two-stage equivalent linear relationship between the bending moment and the rotation at the pile head. The potential function is introduced, and the three-dimensional wave equation for saturated soils i...

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Main Authors: Ao Su, Min Zhang, Wei Shang, Qiqi Wang
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/15/2/682
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author Ao Su
Min Zhang
Wei Shang
Qiqi Wang
author_facet Ao Su
Min Zhang
Wei Shang
Qiqi Wang
author_sort Ao Su
collection DOAJ
description This study examines the horizontal transient response of pipe piles in saturated soil, assuming a two-stage equivalent linear relationship between the bending moment and the rotation at the pile head. The potential function is introduced, and the three-dimensional wave equation for saturated soils is decoupled using operator decomposition and the method of separation of variables. By applying the appropriate initial and boundary conditions, the horizontal lateral forces on the pile from both the surrounding soil and the soil within the pile shaft are calculated. The pipe pile is modeled as a Timoshenko beam. Continuity conditions at the pile–-soil interface are applied, and a time-domain solution for horizontal transient vibrations is derived. This solution accounts for various pile top constraint conditions and is obtained through the inverse Laplace transform. Validation against existing results demonstrates the accuracy of the proposed model. Finally, a parametric study investigates the effects of factors such as impact load, permeability, pile diameter, and pile head constraints on pile displacement.
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institution Kabale University
issn 2076-3417
language English
publishDate 2025-01-01
publisher MDPI AG
record_format Article
series Applied Sciences
spelling doaj-art-6e129cdbf5a54494a76c7039d1d899772025-01-24T13:20:26ZengMDPI AGApplied Sciences2076-34172025-01-0115268210.3390/app15020682Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile HeadAo Su0Min Zhang1Wei Shang2Qiqi Wang3School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, ChinaSchool of Civil Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Civil Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Civil Engineering, Taiyuan University of Technology, Taiyuan 030024, ChinaThis study examines the horizontal transient response of pipe piles in saturated soil, assuming a two-stage equivalent linear relationship between the bending moment and the rotation at the pile head. The potential function is introduced, and the three-dimensional wave equation for saturated soils is decoupled using operator decomposition and the method of separation of variables. By applying the appropriate initial and boundary conditions, the horizontal lateral forces on the pile from both the surrounding soil and the soil within the pile shaft are calculated. The pipe pile is modeled as a Timoshenko beam. Continuity conditions at the pile–-soil interface are applied, and a time-domain solution for horizontal transient vibrations is derived. This solution accounts for various pile top constraint conditions and is obtained through the inverse Laplace transform. Validation against existing results demonstrates the accuracy of the proposed model. Finally, a parametric study investigates the effects of factors such as impact load, permeability, pile diameter, and pile head constraints on pile displacement.https://www.mdpi.com/2076-3417/15/2/682saturated soilpipe piletransient horizontal responseflexible constraint
spellingShingle Ao Su
Min Zhang
Wei Shang
Qiqi Wang
Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile Head
Applied Sciences
saturated soil
pipe pile
transient horizontal response
flexible constraint
title Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile Head
title_full Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile Head
title_fullStr Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile Head
title_full_unstemmed Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile Head
title_short Transient Horizontal Response of a Pipe Pile in Saturated Soil with a Flexible Support at the Pile Head
title_sort transient horizontal response of a pipe pile in saturated soil with a flexible support at the pile head
topic saturated soil
pipe pile
transient horizontal response
flexible constraint
url https://www.mdpi.com/2076-3417/15/2/682
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AT weishang transienthorizontalresponseofapipepileinsaturatedsoilwithaflexiblesupportatthepilehead
AT qiqiwang transienthorizontalresponseofapipepileinsaturatedsoilwithaflexiblesupportatthepilehead