Dynamic response analysis of pile-soil interaction during pile driving by torsional vibration

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Yudong Peng, Xueliang Zhang, Xu Shi, Mengjiao Duan
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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.
扭转振动桩入桩过程中桩土相互作用动力响应分析
本文建立了扭振桩过程中桩土相互作用的精确理论模型,为分析整个打桩过程中桩土耦合的响应特性提供了有效的方法。本文研究了线弹性土中管桩在谐波扭转荷载作用下的扭转动力响应。首先,考虑振动锤与桩顶的固定连接以及桩底与土的耦合特性,建立了振动锤-桩-土扭转振动桩系统,研究了摩擦耦合条件下的扭转振动特性。基于分离变量法和一维弹性理论,建立并求解了桩的扭转振动微分方程,考虑桩与土之间的摩阻力,研究了桩的扭转响应和剪应力。其次,进行了参数化研究,考察了土体参数对振动响应的影响。将土体建模为线弹性介质,分析了土体在扭转振动作用下的响应。采用积分变换方法将土矢量波动方程从空时域转换为频波数域。土在扭矩作用下的响应用格林函数确定。最后,通过对桩土两方面的分析,将理论结果与仿真结果进行对比,验证了扭振打桩过程中桩土耦合模型的有效性和准确性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Applied Mathematical Modelling
Applied Mathematical Modelling 数学-工程:综合
CiteScore
9.80
自引率
8.00%
发文量
508
审稿时长
43 days
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.
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