Axial kinematic response of end‐bearing piles to P waves

Kinematic pile–soil interaction under vertically impinging seismic P waves is revisited through a novel continuum elastodynamic solution of the Tajimi type. The proposed model simulates the steady‐state kinematic response of a cylindrical end‐bearing pile embedded in a homogeneous viscoelastic soil stratum over a rigid base, subjected to vertically propagating harmonic compressional waves. Closed‐form solutions are obtained for the following: (i) the displacement field in the soil and along the pile; (ii) the kinematic Winkler moduli (i.e., distributed springs and dashpots) along the pile; (iii) equivalent, depth‐independent, Winkler moduli to match the motion at the pile head. The solution for displacements is expressed in terms of dimensionless transfer functions relating the motion of the pile head to the free‐field surface motion and the rock motion. It is shown that (i) a pile foundation may significantly alter (possibly amplify) the vertical seismic excitation transmitted to the base of a structure and (ii) Winkler moduli pertaining to kinematic loading differ from those for inertial loading. Simple approximate expressions for kinematic Winkler moduli are derived for use in applications. Copyright © 2013 John Wiley & Sons, Ltd.     

基于DIC技术的桩筏基础工作机理研究

为了深入研究桩筏基础中桩周土体位移场特性及其工作机理,以数字图像相关技术（DIC）的基本原理为基础,编制相应的位移场分析程序,并利用该程序对桩基模型试验中获得的系列图像进行分析,得到了桩周土体位移场渐进性发展变化的全过程,同时对不同桩距桩筏基础的破坏模式作出推断。研究结果表明：利用自行编制的DIC程序分析桩周土体位移场是可行的,并可以得到全场位移。对于不同桩距桩筏基础,小桩距削弱基桩承载力,随着桩距的增大,这种削弱作用减弱。3b（b为方桩边长）桩距桩筏基础中,土体压缩区主要集中在桩端以下土层,基本符合实体深基础的破坏模式;而6b桩距桩筏基础,土体变形区域主要集中在桩身上部1/3L（L为桩长）范围内,明显小于3b桩距桩筏基础的影响深度,基础最终因桩间土体侧向挤出而破坏。     

软土地层桥梁群桩基础桩土共同作用性状的非线性有限元分析

通过对某高速铁路特大桥群桩基础进行三维非线性有限元分析,并结合现场试验得出的规律进行相应的对比分析,研究了软土地层桥梁群桩基础桩身轴力、桩侧摩阻力、基底土体附加应力、孔隙水压力分布、超孔隙水压力消散和群桩基础荷载沉降规律。计算结果表明,基桩所承受的轴力,角桩＞边桩＞中心桩,角桩和边桩的轴力沿桩身减小的幅度较大,而中心桩的轴力沿桩身减小的幅度稍小;各基桩桩侧摩阻力的发挥情况,侧摩阻力值总体上呈角桩＞边桩＞中心桩,相对滑移量基本呈上大下小的形态,即桩身上部桩-土之间产生的相对滑移量较中下部要大;外荷载作用下产生的土体附加应力和超孔隙水压力主要集中在承台底以下土体的一定范围内,其衰减梯度沿深度方向逐渐降低,随着固结时间的延长,群桩基础沉降达到稳定。     

Centrifuge study on behavior of rigid pile composite foundation under embankment in soft soil

The rigid pile composite foundation is widely used in highway projects in soft soil area as it can effectively increase the bearing capacity and stability of the foundation. While the research on the behavior and failure mode of rigid pile composite foundation under embankment is not enough, instability failure of rigid pile composite foundation often occurs in practical projects. This paper presents a centrifuge model test to investigate the load transfer mechanism, settlement characteristic and failure mode of rigid pile composite foundation under embankment. The test results show that: the soil displacement of different region in rigid pile composite foundation was different, obvious vertical displacement occurred in the soil under the center of embankment and the horizontal displacement was very small in this region; both vertical and horizontal displacement occurred in the soil under the shoulder of embankment; and obvious horizontal displacement occurred in the soil under the slope toe of embankment; moreover, ground heave also occurred near the slope toe of embankment. The soil displacement in rigid pile composite foundation had a large influence on the stress characteristic and failure mode of rigid piles, the compressive failure and bending failure would probably occur for the piles under the center and shoulder of the embankment, respectively, and the tension-bending failure would probably occur for the piles under the slope toe of embankment. The different failure modes of piles at different regions should be considered in the design of rigid pile composite foundation under embankment. The test results can be used to improve the design method for rigid pile composite foundation under embankment in practical projects.

     

The P-y Response of Laterally Loaded Flexible Piles in Residual Soil

This paper describes the main features related to lateral displacements with depth after successive lateral loading–unloading cycles applied to the top of reinforced-concrete flexible bored piles embedded in naturally bonded residual soil. The bored piles under study have a cylindrical shape, with 0.40-m in diameter and 8.0-m in length. Both bored piles types (P1 and P2) include an embedded steel pipe section in their center as longitudinal steel reinforcements: pile type P1 has another 16 steel rods as steel reinforcement to concrete while pile type P2 has no further steel reinforcement. Pile type P1 has three times as much stiffness (EI) and four and a half times the plastic moment (M_y) than pile type P2. A similar load–displacement performance was observed at initial loads as for small displacements of both piles. At this initial loading stage, the response of the reinforced concrete piles is a function of the soil characteristics and of a linear elastic pile deformation. During this stage, piles can even be understood as probes for evaluating soil reactions. For larger horizontal displacements, after the concrete section starts undergoing large deformations, approaching the ultimate bending moment, pile behavior and consequently the load–displacement relation starts to diverge for both piles. For pile P1 the values of relevant lateral displacements are extended to about 2.5-m in depth, while for pile P2 lateral displacements are mostly constrained to about 2.0-m in depth. Measurements of horizontal displacements of pile P1 against depth recorded with a slope indicator show that, after unloading, lateral loads at distinct stages (small and near failure loads), exhibits a much higher elastic phase of the system response. An analytical fitting model of soil reaction is proposed based on the measured displacements from slope indicator. The integration of a continuous model proposed for the soil reaction agrees fairly well with the measured displacements up to moments close to plastic limit. Results of load–displacement show that the stiffer pile (P1) was able to mobilize twice as much lateral load compared to pile P2 for a service limit displacement of about 20 mm. The paper shows results that enable the isolation of the structural variable through real scale pile load tests, thus granting understanding of its importance and enabling its quantitative visualization in examples of piles embedded in residual soil sites.

     

Analysis of kinematic seismic response of tapered piles

In the present work, a two-phase analysis is used to assess the lateral movement of a tapered pile due to kinematic seismic loading resulted from earthquakes. First, the free-field horizontal displacement of the ground due to earthquake is estimated using available theory of wave propagation. Second, these estimated soil movements are imposed on the taper pile in a closed-form solution to compute the pile response. The governing differential equation for an arbitrary pile segment is obtained, which includes the free-field horizontal movement estimated from the first phase. The equation is solved explicitly to obtain the horizontal deflection. Parametric studies show that tapered piles tend to be more flexible than uniform piles of the same volume and length under earthquake loading, which is soundly interesting.     

刚性桩复合地基桩土应力比计算及承载特性分析

分析了刚性桩复合地基中垫层、桩及桩间土的共同作用机理,考虑复合地基中桩、土变形协调,提供一种计算复合地基桩土应力比的方法;在此基础上研究复合地基中垫层模量、桩端持力层模量、桩土相对刚度比、桩长径比、面积置换率等因素对复合地基桩土应力比的影响,分析刚性桩复合地基的承载特性。     

A multidirectional semi‐analytical method for analysis of laterally loaded pile groups in multi‐layered elastic strata

A semi‐analytical method for calculating the response of single piles and pile groups subjected to lateral loading is developed in this paper. Displacements anywhere in the soil domain are tied to the displacements of the piles through decay functions. The principle of virtual work and the calculus of variations are used to derive the governing differential equations that describe the response of the piles and soil. The eigenvalue method and the finite difference technique are used to solve the system of coupled differential equations for the piles and soil, respectively. The proposed method takes into account the soil surface displacement along and perpendicular to the loading direction and produces displacement fields that are very close to those produced by the finite element method but at lower computational effort. Compared with the previous method that considered only the soil displacement along the loading direction, accounting for the multi‐directional soil displacement field produces responses for the piles and soil that are closer to those approximated by the finite element method. Copyright © 2016 John Wiley & Sons, Ltd.     

超大面积深厚软土桩-网复合地基现场试验研究

结合潮汕车站软基处理工程设置监测断面,埋设相关监测仪器,对桩-网复合地基上部路堤填土施工过程中地表沉降、深部分层沉降、深部水平位移、桩顶应力、桩间土应力、土工格栅伸长量等的变化进行观测分析,结果表明,在加载初期,桩间土和桩顶土的应力都存在一个迅速增大的过程,但桩顶土应力增大的速率要大于桩间土应力增大的速率;当填土达到一定高度时,桩间土应力出现极值,产生的土拱效应会使4桩中心处的应力小于2桩中心处的应力值;管桩的轴力、摩阻力和地层情况密切相关,且均随时间、荷载的增加而增大;地基分层沉降的速率与路堤填土的速率呈正相关,沉降量的大小与地层深度和地层特征有关;土工格栅的拉伸位移量随着填土高度的增加而增加,且其增长速率经历了由慢到快再到缓的过程;地基水平位移随荷载的增加而增大,随深度增加而减小,管桩有效地限制了地基的水平位移。     

双层地基水平受荷桩受力变形分析

基于双层地基中的水平受荷桩的特性,对其受力变形进行了分析。将水平受荷桩视为竖直放置的弹性地基梁,基于Winkler弹性地基梁理论,考虑桩土共同工作得到水平受荷桩位移控制微分方程及其幂级数解答,进而根据内力与位移的连续条件得到了由桩顶受力及变形条件表示任一深度处桩身的水平位移、转角、弯矩及剪力的计算矩阵表达式。通过一具体算例将幂级数解计算结果与《公路桥涵地基与基础设计规范》推荐的简化计算公式计算结果进行了比较。结果表明：当第1层地基土的厚度在某一定值时,《规范》简化计算方法所得结果与幂级数解接近;但当层厚不在该值附近时,两个方法计算结果存在差异。     

Group interaction on vertically loaded piles in saturated poroelastic soil

The pile-to-pile interaction was obtained for vertically loaded piles embedded in homogeneous poroelastic saturated soil. Deduced from Biot’s theory, the fundamental functions of the quasi-static development for the force, displacement and pore pressure were acquired in cylindrical coordinates. The pile–soil system was decomposed into extended soil and fictitious piles, and the compatibility condition was set up between the axial strain of the fictitious piles and the corresponding average strain over the extended soil. This approach results in the governing equations, which consist of the Fredholm integral equations of the second kind and the basic unknowns of the axial forces along the fictitious pile shaft. The axial force and settlement along the pile shaft were calculated based on the axial forces of the fictitious piles. The interaction between the piles was investigated under different consolidation conditions through a two-pile model, and two pile interaction factors were obtained. Stemming from the two-pile analysis, numerical analyses on the settlement of the pile groups were conducted to probe pile interaction with consolidation. The conventional solutions for the single-phase soil-pile problem seem to underestimate the interaction factor if the consolidation effect is taken into account as pile settlement continues. The pile-to-pile interaction can also aggravate the percentage of consolidation settlement (PCS), and as the pile number increases, the value of the PCS will also increase. Several key factors, such as the pile stiffness, pile slenderness ratio and pile spacing, are investigated to better understand the impact of consolidation on pile analysis.     

楔形桩与圆柱形桩复合地基承载性状对比研究

基于剪切位移法,引入Mylonakis & Gazetas桩-土相互作用及Winkler地基模型,导出了复合地基中桩-桩、桩-土及土-土相互作用柔度系数;在此基础上,提出了一种综合考虑桩-土-垫层共同作用的复合地基分析方法,并利用Matlab软件编制了相应的计算程序。为了验证该方法的可行性,对楔形桩和圆柱形桩复合地基进行了模型对比试验,并利用该方法对两个模型试验进行了计算分析,试验及理论结果均表明,桩顶平面处的桩间土反力保持着类似天然地基的马鞍形分布,圆柱形桩复合地基的承载力明显低于楔形桩复合地基的承载力,同时,圆柱形桩复合地基的桩土平均应力比明显高于楔形桩复合地基的桩土平均应力比,楔形桩对缓解复合地基中桩顶应力集中,充分利用天然地基的承载能力具有良好的调节作用。     

深厚场地大型桥梁桩基础随机地震反应及可靠性分析

以苏通长江大桥主墩特大型群桩基础为研究背景,考虑地震动的不确定性,将地震激励作为平稳随机过程,采用随机地震反应分析方法,对深厚场地上群桩基础受上部桥墩荷载下的地震反应进行研究。土体动力非线性性能采用等效线性化方法考虑。由于桥墩惯性作用以及软土土层对桩身位移的约束作用,地震激励下桩身位移呈三角形分布。土体位移与土体和基础间距离有关,桥墩-桩-土相互作用对基础两侧1.5倍基础宽度的土体位移有较大影响。桩体内力反应结果表明,桩顶及桩身上部剪力及弯矩均较大,边桩剪力显著大于中间桩剪力。此外,基于强度破坏准则,对以桩身屈服剪力作为控制指标的群桩基础动力可靠性进行了分析。     

Development of analytical models to estimate the increase in pile capacity with time (pile setup) from soil properties

This paper presents the analyses of twelve prestressed concrete (PSC) instrumented test piles that were driven in different bridge construction projects of Louisiana in order to develop analytical models to estimate the increase in pile capacity with time or pile setup. The twelve test piles were driven mainly in cohesive soils. Detailed soil characterizations including laboratory and in situ tests were conducted to determine the different soil properties. The test piles were instrumented with vibrating wire strain gauges, piezometers, pressure cells that were monitored during the whole testing period. Several static load tests (SLTs) and dynamic load tests were conducted on each test pile at different times after end of driving (EOD) to quantify the magnitude and rate of setup. Measurements of load tests confirmed that pile capacity increases almost linearly with the logarithm of time elapsed after EOD. Case pile wave analysis program was performed on the restrikes data and was used along with the load distribution plots from the SLTs to evaluate the increase in skin friction capacity of individual soil layers along the length of the piles. The logarithmic linear setup parameter “A” for unit skin friction was calculated of the 70 individual clayey soil layers and was correlated with different soil properties such as undrained shear strength (S_u), plasticity index, vertical coefficient of consolidation (c_v), over consolidation ratio and sensitivity (S_t). Nonlinear multivariable regression analyses were performed, and three different empirical models are proposed to predict the pile setup parameter “A” as a function of soil properties. For verification, the subsurface soil conditions and setup information for additional 18 PSC piles collected from local database were used to compare the measured versus predicted “A” parameters from the proposed models, which showed good agreement.

     

按桩的割线刚度确定深厚覆盖土层中普通桩有效桩长

在提出的基桩有效桩长定义基础上,提出了桩的割线刚度控制法来确定有效桩长,并采用线弹塑性荷载传递函数,将其应用于确定深厚覆盖土层中普通桩有效桩长。分析了桩土刚度比K,桩径D,桩顶沉降量So,桩侧土极限位移Um,桩端土弹性模量与桩周土弹性模量比值Ko及土层泊松比μ对普通桩有效桩长的影响,其结果表明,除Ko和μ外,其余均有一定或较大地影响。为了将理论分析应用到工程桩中,对参数的取值进行了分析。     

极限荷载下纵向截面异形桩破坏形式对比模型试验研究

由于基桩纵向截面形式的差异,竖向荷载作用下桩侧摩阻力和桩端阻力发挥存在明显的差异,尽管纵向截面异形桩在工程中得到了一定的应用,然而针对极限荷载下桩端和桩侧土体破坏形式的研究却相对较少。基于透明土材料和粒子图像测速（particle image velocimetry）技术,针对等体积的扩底楔形桩、楔形桩和等截面桩的承载特性及破坏形式进行对比模型试验,测得桩顶荷载-沉降曲线,研究了各级荷载下桩端和桩侧土体位移场的变化规律以及极限荷载下桩端和桩侧土体的破坏形式;同时分析了不同桩长情况下各类型桩的承载力特性。研究结果表明,在此试验条件下,扩底楔形桩的极限承载力约为常规楔形桩的3.5倍和等截面桩的2.5倍;极限荷载作用下各类型纵向截面异形桩桩端的破坏形式规律基本一致。     

Design of raft–pile foundation using combined optimization and finite element approach

This paper describes the application of a structural optimization approach combined with the finite element method for the optimal design of a raft–pile foundation system. The analysis takes into account the non-linear behaviour of the soil medium and the piles. For the optimization process, the sensitivity analysis is carried out using the approximate semi-analytical method while the constraint approximation is obtained from the combination of extended Bi-point and Lagrangian polynomial approximation methods. The objective function of the problem is the cost of the foundation. The design variables are the raft thickness, cross-section, length and number of piles. The maximum displacement and differential displacement are selected as the constraints. The proposed method is shown to achieve an optimum design of raft–pile foundation efficiently and accurately. Copyright © 1999 John Wiley & Sons, Ltd.     

Formulation of the axisymmetric CPDI with application to pile driving in sand

In foundation engineering practice, pile driving is often used as an efficient method to install piles. While large distortions take place along the pile shaft during the installation, the zone around the pile toe experiences compression. In an attempt to fully understand the build up of resistance when driving piles, it is desirable to model the driving process and the corresponding soil behaviour. The non-linear dynamic analysis of this problem is challenging, given the large deformation that develops together with the associated changes in soil properties. Some numerical methods offer the possibility of handling large material movements by utilising Lagrangian and Eulerian frames of references. However, few of these methods are capable of tracing the material displacement, such as the Material Point Method (MPM). Early implementation of MPM assumes that the mass is concentrated at the material points, which causes noise in the solution. Later implementations assign a spatial domain to the material points to mitigate the grid crossing error. The Convected Particle Domain Interpolation (CPDI) is one such implementation.This paper extends the two-dimensional CPDI formulation for an axisymmetric problem where a pile is driven into sand that is modelled as a hypoplastic model. The extended formulation is tested, validated and compared to that for the case of the two-dimensional plane-strain within the framework of the method of manufactured solution. The hammer blows on the pile are represented by a periodic forcing function. In contrast to earlier studies on pile installation using advanced models, deep penetration is achieved in the present analysis. A non-regular distribution for the particle domains is suggested to avoid unnecessary computation. A frictional contact algorithm is introduced to describe the pile–soil interaction.     

考虑土拱效应的疏排桩支护基坑内力和变形分析

采用同济大学中型岩土离心机进行了2组疏排桩支护基坑的离心机模型试验,结合三维有限元数值分析探讨了采用规范方法计算疏排桩支护基坑桩身内力与变形的适宜性,并提出了考虑土拱效应的疏排桩支护基坑桩侧土压力的理论计算方法,最后建立了考虑土拱效应的疏排桩支护基坑桩身内力和变形的计算模型。研究结果表明：对于桩间距与桩径之比为2、3和8的疏排桩支护基坑,桩间土体无法形成土拱效应;对于桩间距与桩径之比为4～7的疏排桩支护基坑,桩间土拱效应明显;规范法计算得到桩身内力与变形结果要比离心机试验结果偏大,与规范方法相比,采用文中提出的计算方法计算疏排桩支护基坑桩身内力与变形更为合理。     

A modulus‐multiplier approach for non‐linear analysis of laterally loaded pile groups

A modulus‐multiplier approach, which applies a reduction factor to the modulus of single pile p–y curves to account for the group effect, is presented for analysing the response of each individual pile in a laterally loaded pile group with any geometric arrangement based on non‐linear pile–soil–pile interaction. The pile–soil–pile interaction is conducted using a 3D non‐linear finite element approach. The interaction effect between piles under various loading directions is investigated in this paper. Group effects can be neglected at a pile spacing of 9 times the pile diameter for piles along the direction of the lateral load and at a pile spacing of 6 times the pile diameter for piles normal to the direction of loading. The modulus multipliers for a pair of piles are developed as a function of pile spacing for departure angle of 0, 90, and 180sup>/sup> with respect to the loading direction. The procedure proposed for computing the response of any individual pile within a pile group is verified using two well‐documented full‐scale pile load tests. Copyright © 2006 John Wiley & Sons, Ltd.