Pseudostatic approach for seismic analysis of pile group

This paper evaluates a simple approximate pseudostatic method for estimating the maximum internal forces and horizontal displacements of pile group subjected to lateral seismic excitation. The method involves two main steps: (1) computation of the free-field soil movements caused by the earthquake, and (2) the analysis of the response of the pile group based on the maximum free-field soil movements (considered as static movements) as well as a static loading at the pile head, which depends on the computed spectral acceleration of the structure being supported. The methodology takes into account the effects of group interaction and soil yielding at pile–soil interface. The applicability of this approach has been validated by a similar approach for single piles and then verified by both experimental centrifuge models of pile-supported structures and field measurements of Ohba-Ohashi Bridge in Japan. It is demonstrated that the proposed method yields reasonable estimates of the pile maximum moment, shear, and horizontal displacement for many practical cases despite of its simplicity. Limitations and reliability of the methodology are discussed and some practical conclusions on the performance of the proposed approach are presented.     

桩基础荷载对邻近已有隧道影响的有限元分析

目前,城市密集的高层建筑桩基础对临近隧道的影响问题越来越突出,为了更好地理解桩群荷载对已建成隧道的影响,主要进行了两方面的研究：（1）利用平面应变有限元方法分析了桩列荷载作用对邻近已有隧道的变形及受力影响,并研究了桩群参数变化（包括桩间距以及桩基础与隧道结构净距）对现存隧道的影响;（2）分析计算了上海太平洋2期广场工程对邻近地铁1号线隧道的影响。分析结果表明：隧道单侧存在桩列荷载作用时,隧道变形以沉降为主,水平位移较小,同时隧道结构向桩基础方向产生一定扭曲,这对于运营地铁是十分不利的;桩基础荷载造成隧道所受弯矩分布向桩基础方向偏转;随着桩间距、桩与隧道净距的增加,隧道拱顶下沉量以及弯矩变化最大值相应减小,沿隧道方向桩间距变化影响大于垂直隧道方向桩间距变化影响。     

水平循环荷载下桩基变形特性的离心模型试验研究

波浪、船舶等长期水平循环荷载作用下,桩基将不可避免地产生附加应力和变形。针对饱和黏土地层,开展离心模型试验研究了船舶系泊水平荷载作用下单桩和群桩的变形特性。发现水平循环加-卸载诱发了桩周土体的塑性变形,进而导致桩身产生了不可恢复的水平位移和弯曲变形。随着循环荷载的增加,单桩和群桩的桩顶最大水平位移和残余水平位移均同时增加,但残余水平位移明显小于最大水平位移。单桩的桩顶残余水平位移与最大位移比值介于0.17～0.22;群桩的桩顶残余水平位移与最大水平位移比值介于0.30～0.84。水平循环加-卸载作用下,桩身残余弯曲应变明显小于最大弯曲应变。单桩的残余弯曲应变与最大弯曲应变比值介于0.13～0.50;群桩的桩身残余弯曲应变与最大弯曲应变比值介于0.23～0.82。群桩前桩的残余和最大弯曲应变明显大于后桩,前桩与后桩的最大弯曲应变、残余应变比值分别高达3.2和3.1。因此,前桩要采取合理的加固和保护措施,以确保桩基长期服役的安全性。     

水平荷载下纵截面异形桩承载特性试验

针对纵截面异形桩（扩底桩和楔形桩）、等混凝土用量常规等直径桩的水平向承载特性进行对比模型试验研究,测得不同水平荷载等级下扩底桩和楔形桩的内力、变形、极限承载力和桩侧土压力分布等变化规律特性;初步探讨3种桩型的水平极限承载特性和桩侧土压力分布规律。考虑纵向截面异形效应,基于水平土抗力与水平位移（p-y）曲线法建立纵截面异形桩水平向承载特性理论计算方法,进一步分析弯矩分布规律,并开展影响因素分析。研究结果表明,在当前试验条件下,等混凝土用量楔形桩的水平向承载力比等直径桩的高,砂性土和黏性土中楔形桩水平向极限承载力约分别为等直径桩的1.25倍和1.33倍。相关研究成果可为今后类似土层下水平受荷纵截面异形桩的设计与计算提供参考依据。     

Pseudostatic Seismic Response Analysis of a Pile Group in a Soil Slope

This paper presents a simple approximate pseudostatic method for estimating the maximum internal forces and horizontal displacements of a pile group located in a soil slope. The method is extension of an existing similar method developed by the authors for the case of a horizontal ground surface. The method employed for horizontal ground case involves two main steps: first, the free-field soil movements caused by the earthquake are computed; Then, the response of the pile group is analyzed based on the maximum free-field soil movements as static movements, as well as a static loading at the pile head, which depends on the computed spectral acceleration of the structure being supported. This newly developed methodology takes into account the effects of group interaction and soil yielding. Simple modifications are applied to take into account the effect of slope on seismic deformations of the pile group, making use of the Newmark sliding block method. The applicability of the approach and the developed program is verified by comparisons made with both experimental shaking table tests and the results of a more refined analysis of a pile-supported wharf. It is demonstrated that the proposed method yields reasonable estimates of the pile maximum moment and horizontal displacement for many practical cases, despite its relative simplicity. The simplifying assumptions and the limitations as well as reliability of the methodology are discussed, and some practical conclusions on the performance of the proposed approach are suggested.     

Approximate computer analysis of pile groups subjected to loads and ground movements

This paper describes the development of an approximate approach for the analysis and design of piles subjected to axial and lateral loading and also to vertical and horizontal ground movements. The analysis involves a number of simplifications in order to make it feasible to implement. For example, it considers the behaviour of a ‘representative’ pile in a group to characterize the behaviour of all piles in the group, and adopts approximations to derive free-field interaction factors from the conventional interaction factors for direct loading. The analysis has been implemented via a computer program called EMbankment PIle Group (EMPIG) and has the ability to incorporate the following features:

• 1. single piles or pile groups,
• 2. applied vertical, lateral and moment loading on the pile cap,
• 3. the effects of axial and lateral soil movements caused by embankment construction,
• 4. a layered soil profile,
• 5. non-linear axial and lateral response of the piles.

Comparisons between solutions from EMPIG and other independent programs suggest that it is capable of providing results of adequate accuracy for practical design purposes. The analysis has been used to investigate the effects of pile rake on a typical bridge abutment group. The presence of raked piles can have a detrimental effect on group behaviour, especially in the presence of ground movements. Large lateral deflections can be generated and axial forces and moments in the piles are increased. Comparisons are also made with the results of centrifuge model tests on abutment pile groups. Copyright © 1999 John Wiley & Sons, Ltd.     

Axial Performance of Helical Tapered Piles in Sand

The axial capacity of novel spun-cast ductile iron (SCDI) tapered pile fitted with a lower helical plate is investigated. Seven instrumented piles, five SCDI tapered and two steel straight shafts, were installed in sand soil using mechanical torque. The piles were tested under axial compressive loading and their ultimate capacities were determined. To assess the cyclic loading effect on the piles performance, two load sequences were adopted: four piles were subjected to monotonic loading, and three were subjected to initial cyclic loading followed by monotonic loading. The installation torque was monitored and the resulting capacity-to-torque ratio was compared to the literature reported values. Tapered helical piles displayed a stiffer response and yielded higher capacities compared to the straight ones. Strain gauges were used to evaluate the piles load transfer mechanism, and demonstrated increased shaft resistance due to the pile taper. The taper helped compact the sand within the zone adjacent to the pile, originally disturbed by the helix penetration, hence increased the soil strength and stiffness. These effects were prominent for larger ratio of shaft/helix diameter. Finally, 3D finite element analyses were conducted to evaluate the axial performance of the system and demonstrated its enhanced frictional resistance. The experimental and numerical results confirmed the superior performance of the proposed system in sands.     

基于透明土的静压楔形桩沉桩效应模型试验研究

楔形桩是一种可以有效提高桩侧摩阻力的纵向变截面异形桩,然而针对该变截面桩沉桩效应特性方面的研究却相对较少。基于透明土材料和粒子图像测速技术（简称PIV）,开展静压楔形桩沉桩模型试验,测得沉桩过程中桩周土体的位移场变化规律;沉桩过程中桩周土体位移场由激光射入透明土材料,与透明土材料之间的相互作用产生的独特散斑场,通过CCD（charge-coupled device）电荷耦合元件相机成像处理而获得。同时进行了等截面桩的沉桩模型试验,并对等混凝土材料用量情况下楔形桩和等截面桩的沉桩效应进行对比分析。最后,将此试验结果与基于常规试验手段的静压楔形桩沉桩模型试验和圆孔扩张理论计算结果进行对比分析,验证了基于透明土材料的静压楔形桩沉桩模型试验的准确性和可靠性。研究结果表明,基于透明土材料和PIV技术可以有效地开展静压楔形桩沉桩模型试验研究;楔形桩静压施工过程中对桩周土的影响范围约为等混凝土用量等截面桩的1.2倍。     

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。     

边坡土体侧移模式对抗滑桩影响分析

在开挖、降雨或地震等外部因素作用下,边坡土体很容易进入局部或瞬态大变形乃至失稳滑动,使抗滑桩产生附加位移及弯矩。基于两阶段分析方法,采用Winkler模型模拟抗滑单桩与土之间的相互作用,建立单桩水平位移控制方程组,根据内力与位移的连续条件得到考虑不同土体侧移模式下求解桩身响应的矩阵解析表达式,并采用现场监测数据及Poulos弹性理论进行验证,证明该方法是合理可行的,并通过参数分析土体侧移对抗滑桩水平承载性状的影响程度。分析结果表明,土体侧移模式包括最大侧移值、分布形状及重心、侧移势等,对抗滑桩的挠度和弯矩均有显著影响,在工程设计中应予以充分重视。     

General elastic analysis of piles and pile groups

This paper describes the development of a boundary element analysis for the behaviour of single piles and pile groups subjected to general three‐dimensional loading and to vertical and lateral ground movements. Each pile is discretized into a series of cylindrical elements, each of which is divided into several sub‐elements. Compatibility of vertical, lateral and rotational movements is imposed in order to obtain the necessary equations for the pile response. Via hierarchical structures, 12 non‐zero sub‐matrices in a global matrix are derived for the basic influence factors. Solutions are presented for a series of cases involving single piles and pile groups. In each case, the solutions are compared with those from more simplified existing pile analyses such as those developed by Randolph and by Poulos. It is shown that for direct loading effects (e.g. the settlement of piles due to vertical loading), the simplified analyses work well. However, for ‘off‐line’ response (such as the lateral movement due to vertical loading) the differences are greater, and it is believed that the present analysis gives more reliable estimates. Copyright © 2000 John Wiley & Sons, Ltd.     

General Analytical Solution for Laterally-Loaded Pile-Based Miche Model

Piles subjected to lateral loading can create problems in soil-structure interaction. Several differing methods of analysis have been proposed to solve the problem of laterally loaded piles, resulting in the determination of pile bending and the bending moment as a function of depth below soil surface. These piles are widely used to support laterally loaded piles, such as bridge pillars, offshore platforms, communication towers and others. This study presents an analytical solution to Miche’s problem as a continuous function of depth: deflection and moment, as well as a dimensional plots to be used in projects involving piles subjected to laterally loading only including data concerning laterally loading test and pile geometry. A new formula is presented to calculate the pile head displacement as well as an equation to determine maximum moment for a generalized Miche model and further analysis. In addition, this paper proposes an equation for the determination of constant horizontal subgrade reaction \((n_{h})\) based on the CPT in-situ test and the geometric characteristics of the pile. Calibration of the analytical model showed good fit and conservative results regarding inclinometer data from an bored pile and good agreement with the literature results.

     

DX桩抗拔承载机理及设计计算方法研究

DX桩（挤扩灌注桩）具有良好的抗拔特性和广阔的工程应用前景。对DX桩与普通桩的抗拔承载特性进行了对比分析,探讨了DX桩的抗拔破坏模式,分析了DX桩的抗拔荷载传递机理及其主桩桩侧与支盘抗拔阻力沿深度的发挥特征。在此基础上,根据DX桩的构造特征,充分考虑主桩桩侧摩阻力和DX桩支盘或3n型分支周围土体摩阻力的影响,建立了极限状态下DX桩抗拔平衡方程,从而导得DX桩抗拔承载力计算公式;对公式中各计算参数的合理选取及相应的试验手段等进行了分析和讨论,给出了DX桩的抗拔设计计算方法与步骤。最后,对影响DX桩抗拔承载力的桩侧土体强度、支盘受荷面与水平面的夹角、支盘数量与间距以及成桩工艺等主要因素进行了定性的分析。     

水平偏心受荷群桩p乘子计算

水平偏心受荷群桩同时发生水平移动和绕承台中心的转动,使基桩的运动方向各不相同,因此基桩的运动方向成为影响群桩效应的一个关键因素。研究发现：水平偏心受荷的两根桩,前桩运动方向与两桩连线夹角0o≤η≤90o,后桩夹角?90o≤θ≤90o;量化两桩间桩?土?桩相互作用的折减系数与η和θ密切相关,η和θ组合存在一个范围,在该范围内两桩不存在相互作用;当两桩存在相互作用时,相互作用对后桩的影响往往大于对前桩的影响。通过将定量描述水平受荷群桩群桩效应的p乘子概念拓展到水平偏心受荷群桩,综合运用理论分析、试验和数值计算成果,提出了折减系数计算公式,进而给出了广义p乘子经验计算公式。通过试验案例验证了该计算公式的合理性。     

Surface displacements due to batter piles driven in cross‐anisotropic media

This article derives the closed‐form solutions for estimating the vertical surface displacements of cross‐anisotropic media due to various loading types of batter piles. The loading types include an embedded point load for an end‐bearing pile, uniform skin friction, and linear variation of skin friction for a friction pile. The planes of cross‐anisotropy are assumed to be parallel to the horizontal ground surface. The proposed solutions are never mentioned in literature and can be developed from Wang and Liao's solutions for a horizontal and vertical point load embedded in the cross‐anisotropic half‐space. The present solutions are identical with Wang's solutions when batter angle equals to 0^°. In addition, the solutions indicate that the surface displacements in cross‐anisotropic media are influenced by the type and degree of material anisotropy, angle of inclination, and loading types. An illustrative example is given at the end of this article to investigate the effect of the type and degree of soil anisotropy (E/E′, G′/E′, and ν/ν′), pile inclination (α), and different loading types (a point load, a uniform skin friction, and a linear variation of skin friction) on vertical surface displacements. Results show that the displacements accounted for pile batter are quite different from those estimated from plumb piles, both driven in cross‐anisotropic media. Copyright © 2007 John Wiley & Sons, Ltd.     

基于Poulos弹性理论的被动桩改进算法

传统的Poulos弹性理论仅适合于均质土中土体侧向位移时桩的性状分析,无法考虑土的层状特性。通过引入层状地基中作用一水平集中力的广义Mindlin解和地面作用有竖向荷载时的应力和位移通解,对Poulos方法进行了改进,使之扩展到多层土中,还用于研究堆载条件下的被动桩变形和受力响应。算例分析表明,改进弹性理论要比Poulos方法更为严密、合理,提高了计算精度,应用范围也更广。     

刚性桩复合地基沉降计算的简化方法

既简便又具有较好精度的刚性桩复合地基沉降计算方法仍是工程实践中迫切需要而又有待于解决的问题,文中提出了一个解决的简化方法。在刚性桩复合地基中,由于桩间土荷载水平不高,将桩间土荷载-沉降曲线近似为线性。当桩的荷载水平不高时,对桩的沉降可按线性考虑,线性关系可按线弹性方程计算得到。若桩可能进入非线性甚至塑性,则假设桩的荷载-沉降曲线满足双曲线规律,可较好地考虑桩的非线性沉降过程。通过计算单桩承载力特征值下的沉降,然后通过双曲线方程特点得到桩的非线性沉降方程。对于有单桩静载试验的情况,提出直接利用单桩试验曲线建立单桩的双曲线方程。最后依据共同作用时桩和桩间土的变形协调条件和静力平衡方程,即可计算其实际基础下复合地基的沉降,从而得到一个刚性桩复合地基沉降计算的简化方法。工程实例表明,简化是方法既简便又具有较好的精度,可为工程实践提供一个有效实用的计算方法。     

基于影像源法的基坑开挖对邻近单桩影响简化分析

邻近建筑物进行基坑开挖会使桩基产生附加变形和内力,降低其承载能力,如果桩基变形过大会威胁到上部结构的安全。针对该领域目前存在的三维有限元数值模拟法建模复杂且计算耗时的现状,同时为了充分利用基坑围护位移较易通过现场监测技术获取的优势,提出了基于影像源法的基坑开挖引起邻近单桩变形影响的两阶段简化分析方法。同时,引入了Kerr地基模型,并针对Winkler地基模型进行改进,弥补了Winkler地基不能考虑土体连续性的缺陷。在第1阶段基于影像源法,由基坑围护变形计算基坑开挖引起的土体水平自由场位移;第2阶段分别基于Winkler和Kerr地基模型,将土体自由场位移施加于桩基,建立桩基在被动位移扰动下的微分控制方程,得到基坑开挖对邻近桩基影响的简化解析解,包括基坑开挖引起桩基的水平位移、弯矩和剪力等。将计算结果与既有理论结果、监测数据以及三维有限元数值模拟结果进行对比,取得了较好的一致性,其中基于Kerr地基模型的简化解比基于Winkler地基模型的简化解更为精确。该简化方法可为有效分析基坑开挖对邻近桩基的变形影响提供一定理论依据。     

Seismic response of pile foundations in liquefiable soil: parametric study

The performance of pile foundations in liquefiable soil subjected to earthquake loading is a very complex process. The strength and stiffness of the soil decrease due to the increase in pore pressure. The pile can be seriously destroyed by the soil liquefaction during strong earthquakes. This paper presents the response of vertical piles in liquefiable soil under seismic loads. A finite difference model, known as fast Lagrangian analysis of continua, is used to study the pile behavior considering a nonlinear constitutive model for soil liquefaction and pile?Csoil interaction. The maximum lateral displacement and maximum pile bending moment are obtained for different pile diameters, earthquake predominant frequencies, Arias intensities, and peak accelerations. It is found that the maximum lateral displacement and the maximum pile bending moment increase when the predominant earthquake frequency value decreases for a given peak acceleration value.     

Elastic models for nonlinear response of rigid passive piles

Recent study indicates that the response of rigid passive piles is dominated by elastic pile–soil interaction and may be estimated using theory for lateral piles. The difference lies in that passive piles normally are associated with a large scatter of the ratio of maximum bending moment over maximum shear force and induce a limiting pressure that is ~1/3 that on laterally loaded piles. This disparity prompts this study. This paper proposes pressure‐based pile–soil models and develops their associated solutions to capture response of rigid piles subjected to soil movement. The impact of soil movement was encapsulated into a power‐law distributed loading over a sliding depth, and load transfer model was adopted to mimic the pile–soil interaction. The solutions are presented in explicit expressions and can be readily obtained. They are capable of capturing responses of model piles in a sliding soil owing to the impact of sliding depth and relative strength between sliding and stable layer on limiting force prior to ultimate state. In comparison with available solutions for ultimate state, this study reveals the 1/3 limiting pressure (of the active piles) on passive piles was induced by elastic interaction. The current models employing distributed pressure for moving soil are more pertinent to passive piles (rather than plastic soil flow). An example calculation against instrumented model piles is provided, which demonstrates the accuracy of the current solutions for design slope stabilising piles. Copyright © 2014 John Wiley & Sons, Ltd.