{"title":"Dynamic response analysis of pile-soil interaction during pile driving by torsional vibration","authors":"Yudong Peng, Xueliang Zhang, Xu Shi, Mengjiao Duan","doi":"10.1016/j.apm.2025.116464","DOIUrl":null,"url":null,"abstract":"<div><div>This paper presents a precise theoretical model for pile-soil interaction during torsional vibration piling, offering an effective method for analyzing the response characteristics of pile-soil coupling throughout the pile driving process. In this analysis, the torsional dynamic response of a pipe pile in a linear elastic soil subjected to harmonic torsional load is investigated. Firstly, a vibration hammer-pile-soil torsional vibration piling system is developed to investigate the torsional vibration behavior under friction-coupled conditions by considering the fixed connection between the vibration hammer and the top of the pile, as well as the coupling characteristics between the bottom of the pile and the soil. Based on the separation of variables method and a 1D elastic theory, the torsional vibration differential equations of the pile are established and solved to research the torsional response and shear stress of the pile by considering frictional resistance between the pile and the soil. Secondly, a parametric study is conducted to examine the influence of soil parameters on the vibration responses. The soil is modeled as a linear elastic medium, and the response of soil is analyzed under the torsional vibration. The Integral Transform Method is employed to convert the soil vector wave equation from the space-time domain to the frequency-wavenumber domain. The response of the soil under torque is determined using Green’s functions. Finally, the comparison of theoretical and simulation results confirms the validity and accuracy of the pile-soil coupling model during pile driving through torsional vibration, based on the analysis of both pile and soil.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116464"},"PeriodicalIF":4.4000,"publicationDate":"2025-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25005384","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents a precise theoretical model for pile-soil interaction during torsional vibration piling, offering an effective method for analyzing the response characteristics of pile-soil coupling throughout the pile driving process. In this analysis, the torsional dynamic response of a pipe pile in a linear elastic soil subjected to harmonic torsional load is investigated. Firstly, a vibration hammer-pile-soil torsional vibration piling system is developed to investigate the torsional vibration behavior under friction-coupled conditions by considering the fixed connection between the vibration hammer and the top of the pile, as well as the coupling characteristics between the bottom of the pile and the soil. Based on the separation of variables method and a 1D elastic theory, the torsional vibration differential equations of the pile are established and solved to research the torsional response and shear stress of the pile by considering frictional resistance between the pile and the soil. Secondly, a parametric study is conducted to examine the influence of soil parameters on the vibration responses. The soil is modeled as a linear elastic medium, and the response of soil is analyzed under the torsional vibration. The Integral Transform Method is employed to convert the soil vector wave equation from the space-time domain to the frequency-wavenumber domain. The response of the soil under torque is determined using Green’s functions. Finally, the comparison of theoretical and simulation results confirms the validity and accuracy of the pile-soil coupling model during pile driving through torsional vibration, based on the analysis of both pile and soil.
期刊介绍:
Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged.
This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering.
Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.